Tianfang Liu

Publication Date

1997

Document Type

Dissertation/Thesis

First Advisor

Tahernezhadi, Mansour

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Electrical Engineering

LCSH

Digital communications--Mathematics; Signal processing--Digital techniques--Mathematics; Wavelets (Mathematics)

Abstract

Wavelet theory has been well developed over decades, and it has numerous applications. Recently, a new method, known as Wavelet Transform (WT), has been introduced in digital signal processing. This technique combines wavelet theory and multiresolution signal analysis into a single theory. It provides a very general technique in signal processing and therefore has numerous applications. In some applications, we observe pseudo-periodic signals, such as speech or music signals, or periodic signals, such as Evoked Potential (EP) and Eletroencephalogram (EEG) signals in biomedical field, with background noise. The additive noise will degrade the performance of digital signal processor. In this thesis a new class of transform called Multiplexed Wavelet Transform (MWT), based on the ordinary WT, and its application in the enhancement of such signals are introduced. Based on the wavelet decomposition with selected components, the additive noise will be suppressed and noise reduced signals will be obtained. Wavelet Transform also has applications in today’s telecommunications. In the multiple access communication systems, if wavelet sequence is chosen as the signature sequence, information at different subchannels could be transmitted simultaneously without intersymbol interference. In such a multiple access system, the error between ideal channel and practical channel is reconstructed using perfect reconstruction filter banks and used for the adaptive channel equalization. In comparison with conventional channel equalization techniques, it provides implementation possibility and reduced computation cost. The discussion and simulation results are presented in this thesis.

Comments

Includes bibliographical references (leaf [81])

Extent

viii, 80, [1] pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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