Home
Authors Papers Year of conference Themes Organizations To MES conference
Biquad digital filters with noncanonical zplane topography of poles 


Authors 
 Lesnikov V.A. 
 Naumovich T.V. 
 Chastikov A.V. 
Date of publication 
 2014 

Abstract 
 If we consider that the digital filter coefficients have a finite word length, it can be argued that it is not any point in the zplane can be zero or a pole of the transfer function. All possible positions of the poles (zeros) form the topography of the zplane. We say that z plane sampled due to quantization of the coefficients of the digital filter. Topography sampled z plane depends on the degree of algebraic numbers , which belongs to the subset of the set of possible poles (zeros), and the length of the fractional part of the coefficients of the canonical structure of the corresponding order . For most structures of digital filters coefficients are mutually independent. At the same time, the known structure, the coefficients are coupled by an equation, for example, coupled structure. The paper shows how the topography of the zplane in the presence of the coefficients for equality constraints. 
Keywords 
 digital filter, poles, zeros,quantized coefficients, sampling of zplane,topography of sampled zplane, coupled biquad 
Library reference 
 Lesnikov V.A., Naumovich T.V., Chastikov A.V. Biquad digital filters with noncanonical zplane topography of poles // Problems of Perspective Micro and Nanoelectronic Systems Development  2014. Proceedings / edited by A. Stempkovsky, Moscow, IPPM RAS, 2014. Part 4. P. 129132. 
URL of paper 
 http://www.mesconference.ru/data/year2014/pdf/D143.pdf 

