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This paper proposes efficient constant multiplier architecture based on vertical-horizontal binary common sub-expression elimination (VHBCSE) algorithm for designing a reconfigurable finite impulse response (FIR) filter whose coefficients can dynamically change in real time. To design an efficient reconfigurable FIR filter, according to the proposed VHBCSE algorithm, 2-bit binary common sub-expression elimination (BCSE) algorithm has been applied vertically across adjacent coefficients on the 2-D space of the coefficient matrix initially, followed by applying variable-bit BCSE algorithm horizontally within each coefficient. Faithfully rounded truncated multiple constant multiplication/accumulation (MCMAT) and multi-root binary partition graph (MBPG) respectively. Efficiency shown by the results of comparing the FPGA and ASIC implementations of the reconfigurable FIR filter designed using VHBCSE algorithm based constant multiplier establishes the suitability of the proposed algorithm for efficient fixed point reconfigurable FIR filter synthesis.
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