Electronic Theses and Dissertations

Date of Award


Document Type


Degree Name

M.S. in Engineering Science

First Advisor

John N. Daigle

Second Advisor

Lei Cao

Third Advisor

Allen W. Glisson

Relational Format



The objective of this thesis is to analyze wavelet based alternatives for orthogonal frequency division multiplexing (OFDM) and find whether a better system performance is achieved when compared to the discrete Fourier transform (DFT)-based OFDM. We analyze DFT, discrete wavelet transform (DWT), and dual tree complex wavelet transform (DT-CWT) based systems in an additive white Gaussian noise (AWGN) channel. The analysis is verified by Monte Carlo simulation. The results in the thesis indicate that the bit error probability (BEP) performance is the same for all types of systems. This confirms some results presented in the literature but differs from others. Some report better BEP performance for the DWT based system than for the DFT based system, and some report worse. In addition, the literature reports better BEP performance for DT-CWT-based system than both DFT-based and DWT-based systems. We compare the peak to average power ratio (PAPR) for the alternatives. The results show improvement in PAPR for the wavelet based system. That is, the DT-CWT performs the best, then the DWT, and the worst is for the DFT based system.


Electrical Engineering



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