Defense Date

5-5-2010

Graduation Date

Summer 2010

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

Stacey Levine

Committee Member

Carl Toews

Keywords

audio restoration, band replication, bandwidth extension, fourier analysis, open source software, signal processing

Abstract

The scope of this work is to introduce a conceptually simple yet effective algorithm for blind high-frequency bandwidth extension of audio signals, a means of improving perceptual quality for sound which has been previously low-pass filtered or downsampled (typically due to storage considerations). The algorithm combines an application of the modulation theorem for discrete Fourier transform to regenerate the missing high-frequency end of the signal spectrum with a linear-regression-driven approach to shape the spectral envelope for the regenerated band. The results are graphically and acoustically compared to those obtained with existing audio restoration software for a variety of input signals. The source code and Windows binaries of the resulting algorithm implementation are also included.

Format

PDF

Language

English

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