A dissertation submitted in fulfllment for the
degree of Masters of Science
in the
Faculty of Science
School of Computer Science and Applied Mathematics
October 2017. / This work explores a new method of applying partial di erential equations to audio signal
processing, particularly that of noise removal. Two methods are explored and compared
to the method of noise removal used in the free software Audacity(R). The rst of these
methods uses a non-linear variation of the di usion equation in two dimensions, coupled
with a non-linear sink/source term, in order to lter the imaginary and real components
of an array of overlapping windows of the signal's Fourier transform. The second model is
that of a non-linear di usion function applied to the magnitude of the Fourier transform
in order to estimate the noise power spectrum to be used in a spectral subtraction noise
removal technique. The technique in this work features nite di erence methods to
approximate the solutions of each of the models. / LG2018
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/24988 |
| Date | January 2017 |
| Creators | Shipton, Jarrod Jay |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (xi, 59 leaves), application/pdf |
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