MATLAB GUI-based toolbox for the design of modulated perfect reconstruction filter banks

Date

2004-05

Journal Title

Journal ISSN

Volume Title

Publisher

Texas Tech University

Abstract

The aim of this study is to create a Graphical User Interface (GUI) toolbox. This Matlab based toolbox will provide a number of options for designing and implementing maximally decimated cosine-modulated perfect reconstruction (PR) filter banks. Using this toolbox, people can design their own filter banks without having to understand the details of the design procedure. In this thesis, the theory of and results from cosine-modulated filter banks are reviewed. The prototype filters have arbitrary lengths, and the overall delay of the filter bank is arbitrary within a fundamental range. Necessary and sufficient conditions for PR are presented using a polyphase representation. The design is formulated as a quadratic-constrained least-squares optimization problem, where the optimized parameters are the prototype filter coefficients. Design and description of the toolbox is provided in this thesis. Several design examples are given to illustrate the tradeoff between overall system delay and stopband attenuation.

Description

Keywords

MATLAB, Mathematical optimization, Filters (Mathematics), Electric engineering, Graphical user interfaces (Computer systems)

Citation