Title :
Use of the geometry of partial sums in digital filter analysis
Author :
Read, Randol R. ; Burrus, Charles S.
Author_Institution :
Amoco Research Center, Tulsa, Okla
fDate :
8/1/1972 12:00:00 AM
Abstract :
The z transform of the truncated impulse response of a digital filter with poles is a polynomial that is important in the stability analysis of certain types of block and inverse digital filters. The geometry of partial sums is the theory that describes the behavior of the zeros of these polynomials. This paper presents specific results and also develops guidelines for use in stability analysis and design of block and inverse digital filters.
Keywords :
Digital filters; Digital systems; Discrete transforms; Filtering; Geometry; Guidelines; Poles and zeros; Polynomials; Stability analysis; Transfer functions;
Journal_Title :
Audio and Electroacoustics, IEEE Transactions on
DOI :
10.1109/TAU.1972.1162370
