AN ALGORITHM PROPOSED FOR MODIFYING AND REPRESENTING THE COEFFICIENTS OF PULSE-SHAPING FIR FILTERS

Institute of Microengineering and Nanoelectronics , Universiti Kebangsaan Malaysia

Finite impulse response (FIR) filters have the disadvantage of high order need for desired

specifications than their IIR counterpart. The high order demand imposes more hardware

requirements, arithmetic operations, area usage, and power consumption when designing and

fabricating the filter. Therefore, minimizing or reducing these parameters, is a primary goal or

target in digital filter design task. This paper presents an algorithm proposed for modifying the

number of non-zero coefficients used to represent the FIR digital pulse shaping filter response.

With this algorithm, the FIR filter frequency and phase response can be represented with a

minimum number of non-zero coefficients. Therefore, the arithmetic operations needed to get the

filter output is reduced. Consequently, the overall system cost in terms of power consumption

and area needed is also reduced. The proposed algorithm is more powerful when integrated with

multiplierless algorithms such as distributed arithmetic (DA) in designing high order digital FIR

filters. In this case, the DA technique will be used to eliminate the need for multiplier block in

the multiply and accumulate unit (MAC) and the proposed algorithm will reduce the number of

adders and addition operations needed to get the filter output.