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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.
| Advisor: | Levine, Stacey |
| Commitee: | Toews, Carl |
| School: | Duquesne University |
| Department: | Computational Mathematics |
| School Location: | United States -- Pennsylvania |
| Source: | MAI 48/05M, Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Applied Mathematics, Engineering |
| Keywords: | Audio restoration, Band replication, Bandwidth extension, Fourier analysis, Open source software, Signal processing |
| Publication Number: | 1475403 |
| ISBN: | 9781109737929 |
