The Discrete Structure of the Zeros and Poles Location in the z-Plane of the Arbitrary Order IIR Digital Filters with a Finite Word Length
Vladislav A. Lesnikov, Tatiana V. Naumovich, Alexander V. Chastikov, Alexander Metelyov · 2019
It is known that the resolved positions of the zeros and poles of the second order IIR digital filters with finite wordlength form a discrete structure called in this paper the topography of a discretized z-plane. In the publications of the authors, the z-plane topography was described in detail. This paper is devoted to the definition of equations describing plane algebraic curves on which the allowed positions for the zeros and poles of filters of arbitrary order are located.