FIR Filter Design Using Optimal Factoring: A Walkthrough and Summary of Benefits

Decomposing an FIR filter into a cascade of blocks, each representing an optimal factor of H(z), the filter?s transfer function, can start with the complex-conjugate pairs of zeros of H(z) and then creating optimal pairings of these zero-pairs. This leads to a general method for designing FIR filters having minimal hardware complexity. We illustrate this concept, further techniques, benefits, and performance improvements in this paper, highlighting the practical features of the design method. It is also shown that the resulting structure can achieve lower hardware complexity, when compared with the prior art.