Borges, Vinicius and Nepomuceno, Erivelton and Tutueva, Aleksandra V. and Karimov, Artur I. and Duque, Carlos and Karimov, Timur I. (2020) Analysis of IIR Filters by Interval Response. In: 2020 Moscow Workshop on Electronic and Networking Technologies (MWENT). IEEE, pp. 1-5. ISBN 978-1-7281-2572-5

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Abstract

The classical theory of signal processing assumes that the designed IIR filters are continuous and have infinitely accurate coefficients. However, when developing filters for real-world digital signal processing tasks, it is necessary to take into account the finite precision of the coefficients representation, especially considering the fixed-point arithmetic. In this paper, we propose a new approach, which we call the interval size approach, making it easy to evaluate the actual digital filter response for various fixed-point arithmetic parameters. We provide Illustrative examples to demonstrate the frequency response bounds evolution as an order, cutoff frequency, and signal frequency are varying. We show that the interval size can be used as a well-suited accuracy factor of a digital filter.

Item Type:	Book Section
Keywords:	signal processing; digital filters; quantization; interval size;
Academic Unit:	Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID:	16857
Identification Number:	https://doi.org/10.1109/MWENT47943.2020.9067455
Depositing User:	Erivelton Nepomuceno
Date Deposited:	16 Jan 2023 16:34
Publisher:	IEEE
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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