The sampling of the z-plane due to the quantization of the digital filter coefficients

Zeros and poles of IIR digital filters, whose coefficients have finite bit width, cannot occupy an arbitrary position in the z-plane. The paper studies the process of forming the geometric place of zeros and poles in such conditions. It is taken into consideration that the zeros and poles are elemen...

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Bibliographic Details
Published in2018 7th Mediterranean Conference on Embedded Computing (MECO) pp. 1 - 4
Main Authors Lesnikov, Vladislav, Naumovich, Tatiana, Chastikov, Alexander
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2018
Subjects
algebraic numbers
Digital filters
Embedded computing
Finite element analysis
finite word length
IIR digital filters
IIR filters
Poles and zeros
Quantization (signal)
z-plane
zeros and poles
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Summary:Zeros and poles of IIR digital filters, whose coefficients have finite bit width, cannot occupy an arbitrary position in the z-plane. The paper studies the process of forming the geometric place of zeros and poles in such conditions. It is taken into consideration that the zeros and poles are elements of the set of algebraic numbers of the corresponding degree. The process under consideration is interpreted as the sampling of the z-plane.
DOI:10.1109/MECO.2018.8405962