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Signal Processing Commons

Open Access. Powered by Scholars. Published by Universities.®

Air Force Institute of Technology

1994

Wavelets (Mathematics)

Articles 1 - 2 of 2

Full-Text Articles in Signal Processing

Multipoint Multirate Signal Processing, Roger L. Claypoole Jr. Dec 1994

Multipoint Multirate Signal Processing, Roger L. Claypoole Jr.

Theses and Dissertations

This thesis provides a fundamentally new, systematic study of multipoint multirate signal processing systems. The multipoint multirate operators are analyzed via equivalent circuits comprised entirely of conventional multirate operators. Interconnections of the operators are demonstrated, and the multipoint noble identities are derived. The multipoint polyphase representation is presented, and the M channel multipoint multirate system with vector length N is presented as an MN channel multipoint polyphase system. The conditions sufficient for perfect reconstruction in the multipoint multirate system are derived. These conditions constrain the multipoint filter banks to be composed of comb filters generated from paraunitary sets of conventional …


Noise Reduction For Speech Enhancement Using Non-Linear Wavelet Processing, Hassan Dehmani Jun 1994

Noise Reduction For Speech Enhancement Using Non-Linear Wavelet Processing, Hassan Dehmani

Theses and Dissertations

The problem of speech enhancement presents many obstacles in the speech processing field. This thesis develops several speech de-noising systems that can be used in the time, fourier, and wavelet domains. We present two thresholding techniques soft and hard. The application of these thresholding techniques to noisy speech data is discussed. The combination of both wavelets and the Fourier domains with noisy phase restoration proves to yield the best results in terms of intelligibility. Informal listening tests were conducted in order to compare the effects and differences between the speech de-noising systems.