Multiplierless IIR Filter Design Technique
Vladislav A. Lesnikov, Tatiana V. Naumovich, Alexander V. Chastikov · 2021
This paper proposes a technique for generating an IIR multiplierless digital filter. The technique is based on the approach developed by the authors, in which the finite word length is considered when calculating the zeros and poles of the transfer function, and the stage of structural synthesis does not distort the values of zeros and poles. At the stage of structural synthesis, a block diagram of a filter with an excessive number of multipliers is formed. This redundancy is exchanged for a decrease in the capacity of the coefficients. After obtaining the formulas connecting the values of the coefficients of the transfer function and the coefficients of the filter structure, the search for the values of the coefficients is carried out on the set of numbers that are a power of 2.