Signal Processing Applications of Wavelets
نویسنده
چکیده
Wavelets are powerful mechanisms for analyzing and processing digital signals. The wavelet transform translates the time-amplitude representation of a signal to a time-frequency representation that is encapsulated as a set of wavelet coefficients. These wavelet coefficients can be manipulated in a frequency-dependent manner to achieve various digital signal processing effects. The inverse wavelet transform can then convert the manipulated wavelet coefficients back to the normal time-amplitude representation in order to yield a modified signal. After an overview of Fourier and wavelet transforms, the Haar wavelet and the Daubechies wavelet are described in this paper. Several signal processing and musical applications of wavelets, including denoising, wavelet filtering, and data compression, are investigated. A Java implementation of a wavelet-based effects processor is also presented.
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