Design of Multiplier-free State-Space Digital Filters

Abstract

In this paper, a novel approach is presented for designing multiplier-free state-space digital filters. The multiplierfree design is obtained by finding power-of-2 coefficients and also quantizing the state variables to power-of-2 numbers. Expressions for the noise variance are derived for the quantized state vector and the output of the filter. A "structure-transformation matrix" is incorporated in these expressions. It is shown that quantization effects can be minimized by properly designing the structuretransformation matrix. Simulation results are very promising and illustrate the design algorithm.