A minimal-difference differential coefficients method for low complexity FIR filter realization
A. P. Vinod, I. Setiawan · 2006
This paper presents a minimal-difference differential coefficients method (MD-DCM) for realizing low-complexity finite impulse response (FIR) filters. The conventional difference coefficients method (DCM) uses the difference between adjacent coefficients whereas we identify the coefficients that have the least difference between their magnitude values and use these minimal difference values to encode the coefficients. The minimal-difference differential coefficients can be coded using fewer bits, which in turn reduces the number of full additions required for coefficient multiplication. Furthermore, when conventional DCM employs higher orders of differences between the coefficients to minimize the hardware cost, the MD-DCM produces the best results using the first-order difference between coefficients. This reduces the net computations required and increases the speedup. Design examples show that the MD-DCM offers average full adder and memory reductions of 22% and 28% respectively over the DCM. © 2005 IEEE.