Zero Extraction and Separation Technique for Surface Acoustic Wave and Digital Signal Processing FIR (Finite Impulse Response) Filter Implementation

摘要

Presented is a new method of separating the zeros of a Finite Impulse Response (FIR) filter producing an optimal digital filter or surface acoustic wave (SAW) design implementation. Overviews of zero extraction algorithms and of FIR design using the Remez Exchange algorithm are presented (McClellan et al. 1973). The computer aided design (CAD) procedure presented allows the designer to specify the general filter characteristic which the Remez algorithm translates to FIR time domain coefficients. These coefficients are readily translated to the frequency (z) domain, producing an Nth order polynomial in z. The characteristic polynomial is factoried to determine all roots or zeros using a three-stage factoring program presented by M.A. Jenkins (1975). The roots are optimally separated into two groups, each of which is recombined to form mutually exclusive functions. The two functions are then implemented as transducers of a SAW device or as a two-processor digital filter. The concept may be extended to more than two subgroups for multi-processor digital filter designs. (Author)