Two channel paraunitary filter banks based on linear canonical transform

TL;DR

This paper introduces a novel two-channel paraunitary filter bank based on the linear canonical transform, enabling efficient filter design using conventional methods and expanding filter bank applications beyond Fourier-based systems.

Contribution

It proposes a new LCT-based filter bank framework that simplifies design by requiring only one filter and using existing Fourier domain techniques.

Findings

LCT-based filter banks need only one filter to be designed.

Design can be performed using conventional power-symmetric filter methods.

The approach extends filter bank design beyond Fourier domain applications.

Abstract

In this paper a two channel paraunitary filter bank is proposed, which is based on linear canonical transform, instead of discrete Fourier transform. Input-output relation for such a filter bank are derived in terms of polyphase matrices and modulation matrices. It is shown that like conventional filter banks, the LCT based paraunitary filter banks need only one filter to be designed and rest of the filters can be obtained from it. It is also shown that LCT based paraunitary filter banks can be designed by using conventional power-symmetric filter design in Fourier domain.