Design and Simulation of Programmable Finite Impulse Response (PFIR) Digital Filter Using MATLAB and MAC Filter

Abstract

In this paper, the fundamental philosophy of FIR digital filter design with MATLAB program and multiply-accumulate (MAC) Filter is present. The principle of low pass filters is concentrated here which will apply to another response type as well, and the degree of freedom available for finite impulse response (FIR) filter design is discussed in detail. The importance of Equiripple and Least square design to implement the FIR filter in hardware is evaluated. The realistic aspects of FIR filter design and fixed point completion besides algorithms in the filter design toolbox and signal processing toolbox are illustrated. Different design algorithms and theory behind is wanted to contribute. The result shows that the least square methods give less passband ripple compared with the Equiripple methods but with Gibbs phenomena in the filter response. The implementation results with the MAC filter from Xilinx show an important reduction in the multiplication process, consequently low power consumption.