Use of the Geometry of Partial Sums in Digital
Randol R. Read, C.S. Burrus · 1972
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.