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Restoration of clipped sound signals -a weighted Fourier series and AR approach
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

Sound signals can be distorted in many dierent ways, one of them is called

clipping. A clipped sound signal diers from a non-clipped signal in the way

that the amplitudes of the sound wave that are higher than a certain amplitude

threshold has been partially lowered or completely lowered to the threshold,

the latter is called hard clipping. Since data is lost when a signal is clipped,

there is an interest in restoring the signal. For a hard clipped signal, it is often

impossible to perfectly restore the signal.

In this thesis two dierent methods for partially restoring a symmetrically hard

clipped signal are suggested. The two methods considered are a weighted Fourier

series (WFS) t and an autoregressive (AR) model approach. Both methods

attempt to restore the signal by solving optimization problems designed to min-

imize the errors of the respective model.

Evaluation and comparison of the two methods showed that the AR method

typically performed better than the WFS method. The AR method was eec-

tive at restoring the signal, while the WFS method stuck close to the clipped

signal, which might be due to dierences in their optimization problems.

Place, publisher, year, edition, pages
2013. , 41 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-133464OAI: diva2:661737
Available from: 2013-11-04 Created: 2013-11-04 Last updated: 2013-11-04Bibliographically approved

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