Open AccessCoefficient quantization effects on new filters based on Chebyshev fourth-kind polynomials
Author(s) -
Biljana Stošić
Publication year - 2021
Publication title -
facta universitatis. series electronics and energetics/facta universitatis. series: electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee2102291s
Subject(s) - chebyshev filter , chebyshev polynomials , mathematics , quantization (signal processing) , digital filter , network synthesis filters , orthogonal polynomials , algorithm , chebyshev nodes , chebyshev equation , linear phase , control theory (sociology) , filter (signal processing) , classical orthogonal polynomials , computer science , mathematical analysis , electronic engineering , engineering , artificial intelligence , computer vision , control (management)
The aim of this paper is to construct non-recursive filters, extensively used type of digital filters in digital signal processing applications, based on Chebyshev orthogonal polynomials. The paper proposes the use of the fourth-kind Chebyshev polynomials as functions in generating new filters. In this kind, low-pass filters with linear phase responses are obtained. Comprenhansive study of the frequency response characteristics of the generated filter functions is presented. The effects of coefficient quantization as one type of quantization that influences a filter characteristic are investigated here also. The quantized-coefficient errors are considered based on the number of bits and the implementation algorithms.