Multiplication techniques for an efficient FIR filter design for hearing aid applications

This study represents designing and implementation of a Low pass Finite Impulse Response(FIR) filter of order 10. The set of frequencies utilized are that of a hearing aid. To optimise filter area different multiplication techniques such as constant multiplier, booth multiplier, modified booth multiplier and vedic multiplier have been used to multiply filter coefficient with the input sequence. Adders such as Ripple carry adder, carry save adder, carry look ahead adders have been used to add the product terms. A comparision is made between two different structures, to know the best structure. The Finite Impulse Response(FIR) filter is designed in MATLAB using equirriple method the same is synthesised on xilinx 14.7, spartan 3E XC3S500E whose simulation and synthesis results have been incorporated in the paper.