Base Paper Abstract:
Approximate computing is a promising paradigm for trading off accuracy to improve hardware efficiency in error-resilient applications such as neural networks and image processing. This brief presents an ultra-efficient approximate multiplier with error compensation capability. The proposed multiplier considers the least significant half of the product a constant compensation term. The other half is calculated precisely to provide an ultra-efficient hardware-accuracy tradeoff. Furthermore, a low-complexity but effective error compensation module (ECM) is presented, significantly improving accuracy. The proposed multiplier is simulated using HSPICE with 7nm tri-gate Fin FET technology. The proposed design significantly improves the energy-delay product, on average, by 77% and 54% compared to the exact and existing approximate designs. Moreover, the proposed multiplier’s accuracy and effectiveness in neural networks and image multiplication are evaluated using MATLAB simulations. The results indicate that the proposed multiplier offers high accuracy comparable to the exact multiplier in NNs and provides an average PSNR of more than 51dB in image multiplication. Accordingly, it can be an effective alternative for exact multipliers in practical error-resilient applications.
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This paper describes a bandwidth (BW)- and slew rate (SR)-enhanced class AB voltage follower (VF). A thorough small signal analysis of the proposed and a state-of-the-art AB-enhanced VF is presented to compare their performance. The proposed circuit has 50-MHz BW, 19.5-V/µs SR, and a BW figure of merit of 41.6 (MHz × pF/µW) for CL = 50 pF. It provides 13 times higher current efficiency and 15 times higher BW than the conventional VF with equal 60-µW static power dissipation. The experimental and simulation results of a fabricated test chip in the 130-nm CMOS technology validate the proposed circuit.
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High speed multimedia applications have paved way for a whole new area in high speed error-tolerant circuits with approximate computing. These applications deliver high performance at the cost of reduction in accuracy. Furthermore, such implementations reduce the complexity of the system architecture, delay and power consumption. This paper explores and proposes the design and analysis of two approximate compressors with reduced area, delay and power with comparable accuracy when compared with the existing architectures. The proposed designs are implemented using 45 nm CMOS technology and efficiency of the proposed designs have been extensively verified and projected on scales of area, delay, power, Power Delay Product (PDP), Error Rate (ER), Error Distance (ED), and Accurate Output Count (AOC). The proposed approximate 4 : 2 compressor shows 56.80% reduction in area, 57.20% reduction in power, and 73.30% reduction in delay compared to an accurate 4 : 2 compressor. The proposed compressors are utilised to implement 8 × 8 and 16 × 16 Dadda multipliers. These multipliers have comparable accuracy when compared with state-of-the-art approximate multipliers. The analysis is further extended to project the application of the proposed design in error resilient applications like image smoothing and multiplication.
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The approximate computing paradigm emerged as a key alternative for trading off accuracy and energy efficiency. Error-tolerant applications, such as multimedia and signal processing, can process the information with lower-than-standard accuracy at the circuit level while still fulfilling a good and acceptable service quality at the application level. The automatic detection of R-peaks in an electrocardiogram (ECG) signal is the essential step preceding ECG processing and analysis. The Haar discrete wavelet transform (HDWT) is a low-complexity pre-processing filter suitable to detect ECG R-peaks in embedded systems like wearable devices, which are incredibly energy constrained. This work presents an approximate HDWT hardware architecture for ECG processing at very high energy efficiency. Our best-proposal employing pruning within the approximate HDWT hardware architecture requires just seven additions. The use of a truncation technique to improve energy efficiency is also investigated herein by observing the evolution of the signal-to-noise ratio and the ultimate impact in the ECG peak-detection application. This research finds that our HDWT approximate hardware architecture proposal accepts higher truncation levels than the original HDWT. In summary: Our results show about 9 times energy reduction when combining our HDWT matrix approximation proposal with the pruning and the highest acceptable level of truncation while still maintaining the R-peak detection performance accuracy of 99.68% on average.
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Approximate computing is a promising technique to elevate the performance of digital circuits at the cost of reduced accuracy in numerous error-resilient applications. Multipliers play a key role in many of these applications. In this brief, we propose a truncation based Booth multiplier with a compensation circuit generated by selective modifications in k-map to circumvent the carry appearing from the truncated part. By judicious mapping, hardware pruning and output error reduction is achieved simultaneously. In the quest of power and accuracy trade-off, Truncated and Approximate Carry based Booth Multipliers (TACBM) are proposed with a range of designs based on truncation factor w. When compared with the state-of-the-art multipliers, TACBM outperforms in terms of accuracy and Area Power savings. TACBM (w = 10) provides with 0.02% MRED and 23% reduction in Area-Power product compared to exact Booth multiplier. The multipliers are evaluated using image blending and Multilayer perceptron (MLP) neural network and a high value of accuracy (95.63%) for MLP is achieved.
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Here, the critical path of ripple carry adder (RCA)-based binary tree adder (BTA) is analyzed to find the possibilities for delay minimization. Based on the findings of the analysis, the new logic formulation and the corresponding design of RCA are proposed for the BTA. The comparison result shows that the proposed RCA design offers better efficiency in terms of area, delay and energy than the existing RCA. Using this RCA design, the BTA structure is proposed. The synthesis result reveals that the proposed 32-operand BTA provides the saving of 22.5% in area–delay product and 28.7% in energy–delay product over the recent Wallace tree adder which is the best among available multi-operand adders. The authors have also applied the proposed BTA in the recent multiplier designs to evaluate its performance. The synthesis result shows that the performance of multiplier designs improved significantly due to the use of proposed BTA. Therefore, the proposed BTA design can be a better choice to develop the area, delay and energy efficient digital systems for signal and image processing applications.
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This paper proposes an area-efficient bidirectional shift-register using bidirectional pulsed-latches. The proposed bidirectional shift-register reduces the area and power consumption by replacing master-slave flip-flops and 2-to-1 multiplexers with the proposed bidirectional pulsed-latches and non-overlap delayed pulsed clock signals, and by using sub shift-registers and extra temporary storage latches. A 256-bit bidirectional shift-register was fabricated using a 65nm CMOS process. Its area was 1,943μm2 and its power consumption is 200μW at a 100MHz clock frequency with VDD=1.2V. It reduces area by 39.2% and power consumption by 19.4% compared to the conventional bidirectional shift-register, length in most cases.
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The combination of FAST corners and BRIEF descriptors provide highly robust image features. We present a novel detector for computing the FAST-BRIEF features from streaming images. To reduce the complexity of the BRIEF descriptor, we employ an optimized adder tree to perform summation by accumulation on streaming pixels for the smoothing operation. Since the window buffer used in existing designs for computing the BRIEF point-pairs are often poorly utilized, we propose an efficient sampling scheme that exploits register reuse to minimize the number of registers. Synthesis results based on 65- nm CMOS technology show that the proposed FAST-BRIEF core achieves over 40% reduction in area-delay product compared to the baseline design. In addition, we show that the proposed architecture can achieve 1.4x higher throughput than the baseline architecture with slightly lower energy consumption.
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Addition units are widely used in many computational kernels of several error-tolerant applications such as machine learning and signal, image, and video processing. Besides their use as stand-alone, additions are essential building blocks for other math operations such as subtraction, comparison, multiplication, squaring, and division. The parallel prefix adders (PPAs) is among the fastest adders. It represents a parallel prefix graph consisting of the carry operator nodes, called prefix operators (POs). The PPAs, in particular, are among the fastest adders because they optimize the parallelization of the carry generation (G) and propagation (P). In this work, we introduce approximate PPAs (AxPPAs) by exploiting approximations in the POs. To evaluate our proposal for approximate POs (AxPOs), we generate the following AxPPAs, consisting of a set of four PPAs: approximate Brent–Kung (AxPPA-BK), approximate Kogge–Stone (AxPPAKS), Ladner-Fischer (AxPPA-LF), and Sklansky (AxPPA-SK). We compare four AxPPA architectures with energy-efficient approximate adders (AxAs) [i.e., Copy, error-tolerant adder I (ETAI), lower-part OR adder (LOA), and Truncation (trunc)]. We tested them generically in stand-alone cases and embedded them in two important signal processing application kernels: a sum of squared differences (SSDs) video accelerator and a finite impulse response (FIR) filter kernel. The AxPPA-LF provides a new Pareto front in both energy-quality and area-quality results compared to state-of-the-art energy-efficient AxAs.
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In this paper, a new pseudorandom number generator (PRNG) based on the logistic map has been proposed. To prevent the system to fall into short period orbits as well as increasing the randomness of the generated sequences, the proposed algorithm dynamically changes the parameters of the chaotic system. This PRNG has been implemented in a vertex 7 field-programmable gate array (FPGA) with a 32-bit fixed point precision, using a total of 510 lookup tables (LUTs) and 120 registers. The sequences generated by the proposed algorithm have been subjected to the National Institute of Standards and Technology (NIST) randomness tests, passing all of them. By comparing the randomness with the sequences generated by a raw 32-bit logistic map, it is shown that, by using only an additional 16% of LUTs, the proposed PRNG obtains a much better performance in terms of randomness, increasing the NIST passing rate from 0.252 to 0.989. Finally, the proposed bitwise dynamical PRNG is compared with other chaos-based realizations previously proposed, showing great improvement in terms of resources and randomness.
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A CMOS fully integrated all-pass filter with an extremely low pole frequency of 2 Hz is introduced in this paper. It has 0.08-dB passband ripple and 0.029-mm2Si area. It has 0.38-mW power consumption in strong inversion with ±0.6-V power supplies. In subthreshold, it has 0.64-µW quiescent power and operates with ±200-mV dc supplies. Miller multiplication is used to obtain a large equivalent capacitor without excessive Si area. By varying the gain of the Miller amplifier, the pole frequency can be varied from 2 to 48 Hz. Experimental and simulation results of a test chip prototype in 130-nm CMOS technology validate the proposed circuit.
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A non-destructive column-selection-enabled 10T SRAM for aggressive power reduction is presented in this brief. It frees a half-selected behavior by exploiting the bit line-shared data-aware write scheme. The differential-VDD (Diff-VDD) technique is adopted to improve the write ability of the design. In addition, its decoupled read bit lines are given permission to be charged and discharged depending on the stored data bits. In combination with the proposed dropped-VDD biasing, it achieves the significant power reduction. The experimental results show that the proposed design provides the 3.3× improvement in the write margin compared with the standard Diff-10T SRAM. A 5.5-kb 10T SRAM in a 65-nm CMOS process has a total power of 51.25 µW and a leakage power of 41.8 µW when operating at 6.25 MHz at 0.5 V, achieving 56.3% reduction in dynamic power and 32.1% reduction in leakage power compared with the previous single-ended 10T SRAM.
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This study represents designing and implementation of a low power and high speed 16 order FIR filter. To optimize filter area, delay and power, different multiplication techniques such as Vedic multiplier, add and shift method and Wallace tree (WT) multiplier are used for the multiplication of filter coefficient with filter input. Various adders such as ripple carry adder, Kogge Stone adder, Brent Kung adder, Ladner Fischer adder and Han Carlson adder are analyzed for optimum performance study for further use in various multiplication techniques along with barrel shifter. Secondly optimization of filter area and delay is done by using add and shift method for multiplication, although it increases power dissipation of the filter. To reduce the complexity of filter, coefficients are represented in canonical signed digit representation as it is more efficient than traditional binary representation. The finite impulse-response (FIR) filter is designed in MATLAB using equiripple method and the same filter is synthesized on Xilinx Spartan 3E XC3S500E target field-programmable gate array device using Very High Speed Integrated Circuit Hardware Description Language (VHDL) subsequently the total on-chip power is calculated in Vivado2014.4. The comparison of simulation results of all the filters show that FIR filter with WT multiplier is the best optimized filter.
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Approximate multipliers attract a large interest in the scientific literature that proposes several circuits built with approximate 4-2 compressors. Due to the large number of proposed solutions, the designer who wishes to use an approximate 4-2 compressor is faced with the problem of selecting the right topology. In this paper, we present a comprehensive survey and comparison of approximate 4-2 compressors previously proposed in literature. We present also a novel approximate compressor, so that a total of twelve different approximate 4-2 compressors are analyzed. The investigated circuits are employed to design 8 × 8 and 16 × 16 multipliers, implemented in 28nm CMOS technology. For each operand size we analyze two multiplier configurations, with different levels of approximations, both signed and unsigned. Our study highlights that there is no unique winning approximate compressor topology since the best solution depends on the required precision, on the signedness of the multiplier and on the considered error metric.
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In this paper a new and highly efficient hardware architecture for a bit-serial implementation of a 3*3 filter on FPGA is developed and presented. The concept is implemented on a Gaussian blur spatial filter and it can be extended to other filters with similar characteristics. The proposed Single Instruction Multiple Data (SIMD) architecture provides a constant operating time independent of the size of the given image while the arithmetic operations are limited to the operations of addition. The Multiple Instruction Multiple Data (MIMD) performance is achieved in a near fraction of the cost. Thus, the hardware’s utilization is optimized. The total time needed to perform the filter of interest on the given image is solely dependent on the working clock frequency. The proposed design is evaluated using a small image and is implemented on two FPGA families with various sizes of an image. Also, it is compared with other architectures.
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Approximate computing is an emerging paradigm for trading off computing accuracy to reduce energy consumption and design complexity in a variety of applications, for which exact computation is not a critical requirement. Different from conventional designs using AND-OR and XOR gates, the majority gate is widely used in many emerging nanotechnologies. An ultra-efficient 6-2 compressor is proposed in this paper. It is composed of two majority gates that lead to low energy consumption and high hardware efficiency. The proposed compressor is utilized in the approximate partial product reduction of a modified 8×8 Dadda multiplier with a truncated structure. Experimental results show that this multiplier realizes a significant reduction in hardware cost, especially in terms of power and area, on average by up to 40% and 31% respectively, compared to exact and state-of-the-art designs. The application of image multiplication is also presented to assess the practicability of the multiplier. The results show that the proposed multiplier results in images with higher quality in peak signal to noise ratio (PSNR) and mean structural similarity index metric (MSSIM) compared to other designs.
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Major operation block in any processing unit is a multiplier. There are many multiplication algorithms are proposed, by using which multiplier structure can be designed. Among various multiplication algorithms, Wallace tree multiplication algorithm is beneficial in terms of speed of operation. With the advancement of technology, demand for circuits with high speed and low area is increasing. In order to improve the speed of Wallace tree multiplier without degrading its area parameter, a new structure of Wallace tree multiplier is proposed in this paper. In the proposed structure, the final addition stage of partial products is performed by parallel prefix adders (PPAs). In this paper, five Wallace tree multiplier structures are proposed using Kogge stone adder, Sklansky adder, Brent Kung adder, Ladner Fischer adder and Han carlson adder. All the multiplier structures are designed using Verilog HDL in Xilinix 13.2 design suite. The proposed structures are simulated using ISIM simulator and synthesized using XST synthesizer. The proposed designs are analyzed with respect to traditional multiplier design in terms of area (No. of LUTs) and delay (ns).
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In this study, the design and field-programmable gate array (FPGA) implementation of the digital notch filter with the lattice wave digital filter (LWDF) structure is presented. For reducing the initial signal transient, the variable notch bandwidth filter is designed. During the initial samples, the notch filter has a wide bandwidth in order to diminish signal transient. As time moves forward, the notch bandwidth reduces to attain the possible minimum width. This results in minimized transient duration notch filter with a sufficiently high-quality factor. Previously, the IIR structure has been used for implementing the time varying bandwidth notch filter. Such a filter requires two variable coefficients for varying the notch width with time. The advantage of using a LWDF structure is that only one coefficient has variable values to vary the notch width with time. Therefore, the number of memory locations required to implement the proposed design is reduced by half. Moreover, the LWDF is less sensitive to the word-length effects. Thus, the proposed lattice wave digital notch filter (LWDNF) produces better results compared to the existing literature in terms of error analysis. The suggested LWDNF is then implemented on a field-programmable gate array using a Xilinx system generator for the DSP design suite.
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Approximate arithmetic computing circuits and architectures have been proven to be energy efficient designs for Deep Neural Networks (DNNs) which are error resilient. In this paper, an approximate 8-bit Wallace Multiplier has been proposed and designed in 90nm CMOS technology for energy efficiency. The proposed 8-bit approximate multiplier design consumes ~32% less energy in comparison to an accurate 8-bit Wallace Tree multiplier with less than 20% Mean Relative Error (MRE).
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Arithmetic logic unit (ALU) is an important part of all digital gadgets and applications. This paper presents the design and implementation of an 8-bit Arithmetic Logic Unit (ALU) with a capability to perform eight distinct operations. ALUs are fundamental components in the central processing units (CPUs) of microprocessors and are responsible for executing arithmetic and logical operations. The primary objective of this research is to design an efficient and versatile 8-bit ALU that can execute a wide range of operations while optimizing for performance and area efficiency. The proposed 8-bit ALU is designed to perform the following eight operations: Ripple carry addition, Ripple borrow subtraction, Array multiplication, XOR operation, left shift, right shift, NAND operation and a logical NOR operation. The research presents a detailed description of the ALU's architecture, its constituent components, and the control mechanism for selecting operations. Performance metrics, such as speed, area efficiency, and power consumption, are analyzed and compared with Xilinx FPGA.
List of the following materials will be included with the Downloaded Backup:We have also Code for 720 x 576 Image Resolution using 64 x 64 Block Size of HEVC. Cost of this Update work in High Resolution Rs. 45,000/- ( Rs. 45,000/- + Rs. 30,000/- ) : Total Cost : Rs. 75,000/-
Abstract:
This paper aims to design an efficient mixed serial five-stage pipeline processing hardware architecture of deblocking filter (DBF) and sample adaptive offset (SAO) filter for high efficiency video coding decoder. The proposed hardware is designed to increase the throughput and reduce the number of clock cycles by processing the pixels in a stream of 4 × 36 samples in which edge filters are applied vertically in a parallel fashion for processing of luma/chroma samples. Subsequently these filtered pixels are transposed and reprocessed through vertical filter for horizontal filtering in a pipeline fashion. Finally, the filtered block transposed back to the original orientation and forwarded to a three-stage pipeline SAO filter. The proposed architecture is implemented in field programmable gate array and application specific integrated circuit platform using 90-nm library. Experimental results illustrate that the proposed DBF and SAO architecture decreases the processing cycles (172) required for processing each 64 × 64 or large coding unit compared with the state-of-the-art literature with the increase of gate count (593.32K) including memory. The results show that the throughput of the proposed filter can successfully decode ultrahigh definition video sequences at 200 frames/s at 341 MHz.
List of the following materials will be included with the Downloaded Backup:Abstract: Iterative methods are basic building blocks of communication systems and often represent a dominating part of the system, and therefore, they necessitate careful design and implementation for optimal performance. In this brief, we propose a novel field programmable gate arrays design of matrix–vector multiplier that can be used to efficiently implement widely adopted iterative methods. The proposed design exploits the sparse structure of the matrix as well as the fact that spreading code matrices have equal magnitude entries. Implementation details and timing analysis results are promising and are shown to satisfy most modern communication system requirements.
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A novel design of a hybrid Full Adder (FA) using Pass Transistors (PTs), Transmission Gates (TGs) and Conventional Complementary Metal Oxide Semiconductor (CCMOS) logic is presented. Performance analysis of the circuit has been conducted using Cadence toolset. For comparative analysis, the performance parameters have been compared with twenty existing FA circuits. The proposed FA has also been extended up to a word length of 64 bits in order to test its scalability. Only the proposed FA and five of the existing designs have the ability to operate without utilizing buffer in intermediate stages while extended to 64 bits. According to simulation results, the proposed design demonstrates notable performance in power consumption and delay which accounted for low power delay product. Based on the simulation results, it can be stated that the proposed hybrid FA circuit is an attractive alternative in the data path design of modern high-speed Central Processing Units.
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Approximate computing is an emerging paradigm in error-tolerant applications that leads to power-efficient designs without significant loss in quality. The divider in these applications have complex hardware and more latency among the computational blocks resulting in power consumption. Hence approximating the division module would lead to designs with vastly improved power efficiency. A new approximate subtractor (AxSUB) is proposed in this paper with the intent to reduce the hardware complexity while achieving accuracy within permissible limits. The proposed AxSUB and existing approximate subtractor units are used in the restoring array division (RAD) architecture to prove the efficacy of the AxSUB. This proposed architecture design with 8/4 approximate divider using Verilog HDL and synthesized using Xilinx Spartan 6 FPGA, and proved the performance of area, delay and power.
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In this brief, based on upset physical mechanism together with reasonable transistor size, a robust 10T memory cell is first proposed to enhance the reliability level in aerospace radiation environment, while keeping the main advantages of small area, low power, and high stability. Using Taiwan Semiconductor Manufacturing Company 65-nmCMOS commercial standard process, simulations performed in Cadence Spectre demonstrate the ability of the proposed radiation-hardened-by-design 10T cell to tolerate both 0 →1and1→0 single node upsets, with the increased read/write access time.
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One of the primary purposes of a digital signal processing system is multiplication. The multiplier’s performance affects the DSP system’s overall performance. Therefore, it is crucial to create an effective and quick multiplier implementation design. Vedic mathematics can be used to simplify complex computations so that they are easier to perform verbally. Urdhva Triyambakam is the multiplication algorithm used in Vedic math. In this paper, we employing Brent Kung adder to enhance the Vedic multiplier’s performance. The Urdhva Tiryagbhyam sutra is being used in place of other multiplication strategies since it applies to all instances of algorithms for N x N bit numbers and produces the least amount of latency. Four 4-bit vedic multipliers, two 8-bit Brent Kung adders, one 4-bit Brent Kung adder, and an OR gate are used to create an 8-bit vedic multiplier. A 4-bit vedic multiplier is created similarly by combining four 2-bit vedic multipliers, two 4-bit Brent Kung Adders, one 2-bit Brent Kung Adder, and one OR gate. These four-bit vedic multipliers are then combined to form an eight-bit vedic multiplier. After that, Xilinx Vivado Software is used to simulate and synthesis the 8 x 8 Vedic Multiplier, which was coded in Verilog HDL. The proposed Vedic Multiplier is outperformed in terms of speed when compared to related works.
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This paper introduces a mixed-logic design method for line decoders, combining transmission gate logic, pass transistor dual-value logic and static CMOS. Two novel topologies are presented for the 2-4 decoders: a 14-transistor topology aiming on minimizing transistor count and power dissipation and a 15-transistor topology aiming on high power delay performance. Both a normal and an inverting decoder are implemented in each case, yielding a total of four new designs. Furthermore, four new 4-16 decoders are designed, by using mixed-logic 2-4 pre decoders combined with standard CMOS post-decoder. All proposed decoders have full swinging capability and reduced transistor count compared to their conventional CMOS counterparts. Finally, a variety of comparative spice simulations at the 32 nm shows that the proposed circuits present a significant improvement in power and delay, outperforming CMOS in almost all cases.
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Due to limited frequency resources, new services are being applied to the existing frequencies, and service providers are allocating some of the existing frequencies for newly enhanced mobile communications. Because of this frequency environment, repeater and base station systems for mobile communications are becoming more complicated, and frequency interference caused by multiple bands and services is getting worse. Therefore, a heterodyne receiver using IF filters with high selectivity has been used to minimize the interference between frequencies. However, repeater and base station systems in mobile communications employing fixed IF filters cannot actively cope with the usage of multiple frequency bands, the application of various services, and frequency recycling. Therefore, this brief proposes a reconfigurable digital IF filter with variable center frequency and bandwidth while achieving high selectivity as existing IF filters. The center frequency of filter can vary from 10MHz to 62.5MHz, and the filter bandwidth can be selective to one of 10MHz, 15MHz, and 20MHz. The proposed digital filter also reduces the complexity of adders and multipliers by 38.81% and 41.57%, respectively, compared to an existing digital filter by using a filter bank and a multi stage structure. This digital IF filter is fabricated on a 130-nm CMOS process and occupies 5.90 mm2.
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2-Dimensional fast Fourier transform (FFT) has been widely used in radar signal process. Due to the need for high performance, field programmable gate array (FPGA) is an ideal hardware device for this application. For space-borne radar platform such as synthetic aperture radar (SAR), single-event upsets (SEUs) can cause lots of soft errors in static random access memory (SRAM) based FPGA. As to this, protecting the 2D-FFT implemented in FPGA from SEUs is very important. In this article, we analyze the critical weakness induced by SEUs in the 2D-FFT process, and then a 2D-FFT design with high SEU resilience is presented. The design utilizes the advantage of several anti-SEU methods. For butterfly control in FFT, partially triple modular redundancy (TMR) is used. For data buffers, error correction code (ECC) is applied to read and write operation. Furthermore, safe finite state machine (FSM) is adopted by important control registers. Fault injection results show that all these reinforcement technologies contribute to enhance the ability to mitigate the SEU effects.
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In this paper, an exchange algorithm is proposed to design sparse linear phase finite impulse response (FIR) filters with reduced effective length. The sparse FIR filter design problem is formally an l0-norm minimization problem. This original design problem is re-formulated by encoding the filter coefficients using a binary encoding vector, which represents the locations of the zero and non-zero filter coefficients. An iterative 0-1 exchange process with proper direction control is proposed to propel the minimax approximation error toward the specified upper bound of error for sparsity maximization. The effective length is optimized with a lower priority than sparsity in the proposed algorithm. Simulation results show that the proposed algorithm is superior to the existing algorithms in terms of both sparsity and/or effective length in most cases.
List of the following materials will be included with the Downloaded Backup:Abstract: In this paper, we propose the design of two vectors testable sequential circuits based on conservative logic gates. The proposed sequential circuits based on conservative logic gates outperform the sequential circuits implemented in classical gates in terms of testability. Any sequential circuit based on conservative logic gates can be tested for classical unidirectional stuck-at faults using only two test vectors. The two test vectors are all 1s, and all 0s. The designs of two vectors testable latches, master-slave flip-flops and double edge triggered (DET) flip-flops are presented. The importance of the proposed work lies in the fact that it provides the design of reversible sequential circuits completely testable for any stuck-at fault by only two test vectors, thereby eliminating the need for any type of scan-path access to internal memory cells. The reversible design of the DET flip-flop is proposed for the first time in the literature. We also showed the application of the proposed approach toward 100% fault coverage for single missing/additional cell defect in the quantum dot cellular automata (QCA) layout of the Fredkin gate. We are also presenting a new conservative logic gate called multiplexer conservative QCA gate (MX-cqca) that is not reversible in nature but has similar properties as the Fredkin gate of working as 2:1 multiplexer. The proposed MX-cqca gate surpasses the Fredkin gate in terms of complexity (the number of majority voters), speed, and area.
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Approximate computing is tentatively applied in some digital signal processing applications which have an inherent tolerance for erroneous computing results. The approximate arithmetic blocks are utilized in them to improve the electrical performance of these circuits. Multiplier is one of the fundamental units in computer arithmetic blocks. Moreover, the 4-2 compressors are widely employed in the parallel multipliers to accelerate the compression process of partial products. In this paper, three novel approximate 4-2 compressors are proposed and utilized in 8-bit multipliers. Meanwhile, an error-correcting module (ECM) is presented to promote the error performance of approximate multiplier with the proposed 4-2 compressors. In this paper, the number of the approximate 4-2 compressor’s outputs is innovatively reduced to one, which brings further improvements in the energy efficiency. Compared with the exact 4-2 compressors, the simulation results indicate that the proposed approximate compressors UCAC1, UCAC2, UCAC3 achieve 24.76%, 51.43%, and 66.67% reduction in delay, 71.76%, 83.06%, and 93.28% reduction in power and 54.02%, 79.32%, and 93.10% reduction in area, respectively. And the utilization of these proposed compressors in 8-bit multipliers brings 49.29% reduction of power consumption on average.
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Due to their shrinking feature sizes as well as environmental influences, such as high-energy radiation, electrical noise, and particle strikes, integrated circuits are getting more vulnerable to transient faults. Accordingly, how to make those circuits more robust has become an essential step in today’s design flows. Methods increasing the robustness of circuits against these faults already exist for a long period of time but either introduce huge additional logic, change the timing behavior of the circuit, or are applicable for dedicated circuits such as microprocessors only. In this paper, we propose an alternative method, which overcomes these drawbacks by determining application specific knowledge of the circuit, namely the relations of flip-flops and when they assume the same value. By this, we exploit partial redundancies, which are inherent in most circuits anyway (even the optimized ones), to frequently compare the circuit signals for their correctness—eventually leading to an increased robustness. Since determining the correspondingly needed information is a computationally hard task, formal methods, such as bounded model checking, satisfiability-based automatic test pattern generation, and binary decision diagrams, are utilized for this purpose. The resulting methodology requires only a slight increase in additional hardware, does only influence the timing behavior of the circuit negligibly, and is automatically applicable to arbitrary circuits. Experimental evaluations confirm these benefits.
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Conventionally, fixed-width adder-tree (AT) design is obtained from the full-width AT design by employing direct or post-truncation. In direct-truncation, one lower order bit of each adder output of full-width AT is post-truncated, and in case of post-truncation, {p} lower order-bits of final-stage adder output are truncated, where p = dlog2 Ne and N is the input-vector size. Both these methods do not provide an efficient design. In this paper, a novel scheme is presented to obtain fixed-width AT design using truncated input. A bias estimation formula based on probabilistic approach is presented to compensate the truncation error. The proposed fixed-width AT design for input-vector sizes 8 and 16 offers (37%, 23%, 22%) and (51%, 30%, 27%) area delay product (ADP) saving for word-length sizes (8, 12, 16), respectively, and calculates the output almost with the same accuracy as the post-truncated fixed-width AT which has the highest accuracy among the existing fixed-width AT. Further, we observed that Walsh-Hadamard transform based on the proposed fixed-width AT design reconstruct higher-texture images with higher peak signal to noise ratio (PSNR) and moderate-texture images with almost the same PSNR compared to those obtained using the existing AT designs. Besides, the proposed design creates an additional advantage to optimize other blocks appear at the upstream of the AT in a complex design.
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Frequency dividers are of utmost importance in frequency synthesizers that are based on phase locked loops. The use of dual modulus presales enhances the versatility of the design in both integer and Fractional-N frequency synthesizers. The selection of an acceptable division ratio is dependent upon the channel spacing and frequency range of the synthesizer. There are several techniques for division in electronic systems, including the injection locked frequency divider (ILFD), complementary ILFDs, flip flop based dividers, dual modulus dividers, and modular dividers. Therefore, these approaches possess some advantages and disadvantages, such as reduced jitter, a restricted frequency tuning range, increased circuit size due to the addition of an LC tank circuit, increased power consumption, and lower quality factor. This work aims at addressing certain issues pertaining to clock dividers and proposes a unique design that utilizes a multiple digital frequency divider based on D flip flops. The architectural design is predicated on the use of a phase shifting mechanism using a D flip flop, which effectively controls the division ratio. The present study involves the use of a preliminary phase shifting melody in conjunction with the Digital Clock Manager (DCM). The auto tuning strategy described in this study aims to adjust the phase difference between two differential clock signals. By intentionally inducing metastability in one or more flip flops, the proposed approach utilizes a digital clock manager in a clock divider to mitigate the effects of metastability and reduce jitter across multiple tuning frequencies. Furthermore, it is worth noting that the logic size and power consumption required for its operation are significantly reduced.
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In practical CCTV applications, there are problems of the camera with low resolution, camera fields of view, and lighting environments. These could degrade the image quality and it is difficult to extract useful information for further processing. Super-resolution techniques have been proposed widely by the researchers. However, many approaches are complex and are difficult to use in practical scenarios. In this paper, we propose an efficient Super-resolution algorithm using overlapping bi-cubic for hardware implementation. Experimental results are verified using processing time and reconstructed images that can be used in real time applications.
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Ternary content-addressable memory (TCAM)-based search engines play an important role in networking routers. The search space demands of TCAM applications are constantly rising. However, existing realizations of TCAM on field-programmable gate arrays (FPGAs) suffer from storage inefficiency. This paper presents a multipumping-enabled multiported SRAM-based TCAM design on FPGA, to achieve an efficient utilization of SRAM memory. Existing SRAM-based solutions for TCAM reduce the impact of the increase in the traditional TCAM pattern width from an exponential growth in memory usage to a linear one using cascaded block RAMs (BRAMs) on FPGA. However, BRAMs on state-of-the-art FPGAs have a minimum depth limitation, which limits the storage efficiency for TCAM bits. Our proposed solution avoids this limitation by mapping the traditional TCAM table divisions to shallow sub-blocks of the configured BRAMs, thus achieving a memory-efficient TCAM memory design. The proposed solution operates the configured simple dual-port BRAMs of the design as multiported SRAM using the multipumping technique, by clocking them with a higher internal clock frequency to access the sub-blocks of the BRAM in one system cycle. We implemented our proposed design on a Virtex-6 xc6vlx760 FPGA device. Compared with existing FPGA-based TCAM designs, our proposed method achieves up to 2.85 times better performance per memory.
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Approximate arithmetic has recently emerged as a promising paradigm for many imprecision-tolerant applications. It can offer substantial reductions in circuit complexity, delay and energy consumption by relaxing accuracy requirements. In this paper, we propose a novel energy-efficient approximate multiplier design using a significance-driven logic compression (SDLC) approach. Fundamental to this approach is an algorithmic and configurable lossy compression of the partial product rows based on their progressive bit significance. This is followed by the commutative remapping of the resulting product terms to reduce the number of product rows. As such, the complexity of the multiplier in terms of logic cell counts and lengths of critical paths is drastically reduced. A number of multipliers with different bit-widths (4-bit to 128-bit) are designed in System Verilog and synthesized using Synopsys Design Compiler. Post-synthesis experiments showed that up to an order of magnitude energy savings, and reductions of 65% in critical delay and almost 45% in silicon area can be achieved for a 128-bit multiplier compared to an accurate equivalent. These gains are achieved with low accuracy losses estimated at less than 0.00071 mean relative error. Additionally, we demonstrate the energy-accuracy trade-offs for different degrees of compression, achieved through configurable logic clustering. In evaluating the effectiveness of our approach, a case study image processing application showed up to 68.3% energy reduction with negligible losses in image quality expressed as peak signal-to-noise ratio (PSNR).
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VLSI realizations of digit-recurrence binary division usually use redundant representation of partial remainders and quotient digits. The former allows for fast carry-free computation of the next partial remainder, and the latter leads to less number of the required divisor multiples. In studying the previous relevant works, we have noted that the binary carry save (CS) number system is prevalent in the representation of partial remainders, and redundant high radix representation of quotient digits is popular in order to reduce the cycle count. In this paper, we explore a design space containing four division architectures. These are based on binary CS or radix-16 signed digit (SD) representations of partial remainders. On the other hand, they use full or partial pre computation of divisor multiples. The latter uses smaller multiplexer at the cost two extra adders, where one of the operands is constant within all cycles. The quotient digits are represented by radix-16 [−9,9]SDs. Our synthesis-based evaluation of VLSI realizations of the best previous relevant work and the four proposed designs show reduced power and energy figures in the proposed designs at the cost of more silicon area and delay measures. However, our energy-delay product is 26%–35% less than that of the reference work.
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Approximate addition is a technique to trade off energy consumption and output quality in error-tolerant applications. In prior art, bit truncation has been explored as a lever to dynamically trade off energy and quality. In this brief, an innovative bit truncation strategy is proposed to achieve more graceful quality degradation compared to state-of-the-art truncation schemes. This translates into energy reduction at a given quality target. When applied to a ripple-carry adder, the proposed bit truncation approach improves quality by up to 8.5 dB in terms of peak signal-to-noise ratio, compared to traditional bit truncation. As a case study, the proposed approach was applied to a discrete cosine transform engine. In comparison with prior art, the proposed approach reduces energy by 20%, at insignificant delay and silicon area overhead.
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Static random access memory (SRAM)-based ternary content-addressable memory (TCAM) on field-programmable gate arrays (FPGAs) is used for packet classification in software-defined networking (SDN) and Open Flow applications. SRAMs implementing TCAM contents constitute the major part of a TCAM design on FPGAs, which are vulnerable to soft errors. The protection of SRAM-based TCAMs against soft errors is challenging without compromising critical path delay and maintaining a high search performance. This brief presents a low cost and low-response-time technique for the protection of SRAM-based TCAMs. This technique uses simple, single-bit parity for fault detection which has a minimal critical path overhead. This technique exploits the binary-encoded TCAM table maintained in SRAM-based TCAMs for update purposes to implement a low-response-time error-correction mechanism at low cost. The error-correction process is carried out in the background, allowing lookup operations to be performed simultaneously, thus maintaining a high search performance. The proposed technique provides protection against soft errors with a response time of 293 ns, whereas maintaining a search rate of 222 million searches per second on a 1024 × 40 size TCAM on Artix-7 FPGA.
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Ternary content addressable memories (TCAMs) are widely used in network devices to implement packet classification. They are used, for example, for packet forwarding, for security, and to implement software-defined networks (SDNs). TCAMs are commonly implemented as standalone devices or as an intellectual property block that is integrated on networking application-specific integrated circuits. On the other hand, field-programmable gate arrays (FPGAs) do not include TCAM blocks. However, the flexibility of FPGAs makes them attractive for SDN implementations, and most FPGA vendors provide development kits for SDN. Those need to support TCAM functionality and, therefore, there is a need to emulate TCAMs using the logic blocks available in the FPGA. In recent years, a number of schemes to emulate TCAMs on FPGAs have been proposed. Some of them take advantage of the large number of memory blocks available inside modern FPGAs to use them to implement TCAMs. A problem when using memories is that they can be affected by soft errors that corrupt the stored bits. The memories can be protected with a parity check to detect errors or with an error correction code to correct them, but this requires additional memory bits per word. In this brief, the protection of the memories used to emulate TCAMs is considered. In particular, it is shown that by exploiting the fact that only a subset of the possible memory contents are valid, most single-bit errors can be corrected when the memories are protected with a parity bit.
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Constant step size least mean square (CSS-LMS) is one of the most popular adaptive beamforming algorithms. However, for varying channel signal-to-noise ratios (SNRs), the CSS algorithms are not effective, and there is a need for variable step size (VSS) algorithms. The VSS algorithms provide extremely deep nulls for the interferences; however, they are complex to implement on hardware. Hence, this paper proposes two hardware-efficient variable step size algorithms, namely, efficient variable step size LMS (EVSS-LMS) and reduced complexity parallel LMS (EVSS-RC-pLMS). The proposed EVSS algorithms eliminate the complex operations of VSS algorithms like division and exponential and approximate them to simpler operations. Further, MATLAB simulations demonstrate accelerated convergence, deep nulls, a lower error floor, and better performance in varying SNR environments for the proposed algorithms. Additionally, the finite precision radiation patterns are similar to infinite precision. Hardware synthesis results show the outstanding performance of EVSS in terms of resource utilization on the Xilinx Artix-7 FPGA.
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Multiply–accumulate (MAC) computations account for a large part of machine learning accelerator operations. The pipelined structure is usually adopted to improve the performance by reducing the length of critical paths. An increase in the number of flip-flops due to pipelining, however, generally results in significant area and power increase. A large number of flip-flops are often required to meet the feed forward-cutset rule. Based on the observation that this rule can be relaxed in machine learning applications, we propose a pipelining method that eliminates some of the flip-flops selectively. The simulation results show that the proposed MAC unit achieved a 20% energy saving and a 20% area reduction compared with the conventional pipelined MAC.
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FIR (Finite Impulse Response) Filters: the finite impulse response filter is the most basic components in digital signal processing systems are widely used in communications, image processing, and pattern recognition. Based on FPGA(editable logic device) to achieve FIR filter, not only take into account the fixed -function DSP-specific chip real-time, but also has the DSP processor flexibility. The combination of FPGA and DSP technology can further improve integration, increase work speed and expand system capabilities.
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In the era of data transmission through internet, image compression is considered an active research topic, decreasing the amount of data storage for faster data transfer. In this paper, the hardware implementation of an image compression system using Discrete Wavelet Transform (DWT) is presented. The transposed form Finite Impulse Response (FIR) filter is employed for performing the convolution process, on which the DWT is based. The design is generic to fit for different wavelet types and symmetric to expand for filters of multiple taps. The architecture is implemented on FPGA using IEEE-754 single precision. Floating-Point representation offered higher precision and better accuracy compared to scaled integer values. The proposed hardware design is implemented on Virtex 5 FPGA achieving 243.6 MHz clock frequency.
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High-resolution sinusoidal pulse width modulation (SPWM) switching is beneficial in order to achieve compact size and fine sinusoidal output of dc–ac converters. In this article, a novel field-programmable gate array (FPGA) based high-definition SPWM (HD-SPWM) architecture is proposed for adopting a scheme of integrating a lower frequency PWM train to a high-frequency SPWM train in order to suppress inverter output harmonics while achieving high resolution output. An optimized FPGA based two-stage finite-state-machine (FSM) architecture is designed, where the initial stage decides pulse widths of a lower frequency PWM train based on the premeditated pulse width of the high-frequency SPWM train, whereas in the final stage, lower frequency PWM pulse widths are integrated with the high-frequency SPWM pulse widths to generate updated pulse widths of high-frequency SPWM, i.e., HD-SPWM. Moreover, a pre-formulation mathematical model is established for the calculation of duty-cycle count values of pulse trains to support the online adjustment of modulation index (MI) of the HD-SPWM. The proposed generation has the benefits of harmonic mitigation, online fine adjustment of MI, low-processing time, and requirement of a minor segment of a medium-sized FPGA; thereby, providing a good tradeoff between larger designs and higher performance. Theoretical calculations, characteristics, and design contemplations are specified, and the HD-SPWM generation is demonstrated through experimentation with a Xilinx Spartan-3 FPGA board.
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True random number generators play a fundamental role in cryptographic systems. This paper presents a new and efficient method to generate true random numbers on field programmable gate array by utilizing the random jitter of free running oscillators as a source of randomness. The free-running oscillator rings incorporate programmable delay lines to generate large variation of the oscillations and to introduce jitter in the generated ring oscillators clocks. The main advantage of the proposed true random number generator utilizing programmable delay lines is to reduce correlation between several equal length oscillator rings, and thus improve the randomness qualities. In addition, a Von Neumann corrector as post-processor is employed to remove any bias in the output bit sequence. The validation of the proposed approach is demonstrated on Xilinx Spartan-3A FPGAs. The proposed true random number generator occupies 528 slices, achieves 6 Mbps throughput with 0.999 per bit entropy rate, and passes all the National Institute of Standards and Technology (NIST) statistical tests.
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The continuous monitoring of cardiac patients requires an ambulatory system that can automatically detect heart diseases. This study presents a new field programmable gate array (FPGA)-based hardware implementation of the QRS complex detection. The proposed detection system is mainly based on the Pan and Tompkins algorithm, but applying a new, simple, and efficient technique in the detection stage. The new method is based on the centered derivative and the intermediate value theorem, to locate the QRS peaks. The proposed architecture has been implemented on FPGA using the Xilinx System Generator for digital signal processor and the Nexys-4 FPGA evaluation kit. To evaluate the effectiveness of the proposed system, a comparative study has been performed between the resulting performances and those obtained with existing QRS detection systems, in terms of reliability, execution time, and FPGA resources estimation. The proposed architecture has been validated using the 48 half-hours of records obtained from the Massachusetts Institute of Technology - Beth Israel Hospital (MITBIH) arrhythmia database. It has also been validated in real time via the analogue discovery device.
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The Data Encryption Standard (DES) is widely recognized as the inaugural and prevailing symmetric key method used for the cryptographic processes of encrypting and decrypting digital data. Despite its lack of security against determined attackers in contemporary times, the use of this method persists in older systems. This work introduces a novel implementation of the Data Encryption and Decryption Standard algorithm using Field Programming Gate Arrays (FPGAs) that prioritizes security, high throughput, and space efficiency. The suggested solution involves the creation of a system that utilizes a block size of 64 bits and a key length that is also 64 bits. Additionally, the system operates with a data width of 64 bits. This achievement is accomplished by integrating the notion of pipelining with time variable permutations, and then comparing it with previously shown encryption techniques. The permutations undergo temporal variations under the control of the cryptographer. Hence, the cipher text also undergoes alteration while the key and plaintext remain constant. The algorithm under consideration has been successfully executed on the Xilinx Vetex-5 Field-Programmable Gate Array (FPGA) platform. The findings of this study indicate that the suggested implementation exhibits exceptional speed in comparison to other hardware implementations. Additionally, it demonstrates superior area efficiency and significantly enhanced security measures.
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