Design of One-Dimensional Linear Phase Digital IIR Filters Using Orthogonal Polynomials

TL;DR

This paper introduces a method for designing one-dimensional linear phase IIR filters by leveraging orthogonal polynomials to control phase characteristics without altering amplitude response.

Contribution

It presents a novel approach to IIR filter design using orthogonal polynomials for precise phase manipulation while maintaining amplitude integrity.

Findings

Effective phase control achieved without amplitude distortion

Method allows flexible zero and pole placement

Design process is applicable to various filter specifications

Abstract

In the present paper, we discuss a method to design a linear phase 1-dimensional Infinite Impulse Response (IIR) filter using orthogonal polynomials. The filter is designed using a set of object functions. These object functions are realized using a set of orthogonal polynomials. The method includes placement of zeros and poles in such a way that the amplitude characteristics are not changed while we change the phase characteristics of the resulting IIR filter.