Distributed Arithmetic Implementation of an Optimized Raised Cosine FIR Filter Coefficients

This paper presents the use of distributed arithmetic (DA) technique for implementing the design of different orders raised cosine finite impulse response (FIR) filters with modified coefficients. The filter impulse response is represented with a minimum number of non-zero coefficients through the use of a modification and optimization algorithm. The motivation behind using this algorithm with DA technique is that the number of computational arithmetic, i.e. the addition operation, needed to get the filter output is reduced to the maximum limit. With this algorithm, the online DA look-up table (LUT), is used with a minimum number of non-zero locations. Therefore, the filter output is obtained with as minimum number of arithmetic operations as possible. The application of DA technique to design the modified filters coefficients results in a powerful design with high speed and much less needed hardware when compared with implementing the same filters with their original coefficients