e178-04L10

e178-04L10 - Wavelets: a preview February 5, 2004...

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Wavelets: a preview February 5, 2004 Acknowledgements : Material compiled from the MATLAB Wavelet Toolbox UG.
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02/6/03 ECE 178: a wavelet tour 2 Problem with Fourier Fourier analysi s -- breaks down a signal into constituent sinusoids of different frequencies. a serious drawback In transforming to the frequency domain, time information is lost. When looking at a Fourier transform of a signal, it is impossible to tell when a particular event took place.
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02/6/03 ECE 178: a wavelet tour 3 Gabor s proposal
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02/6/03 ECE 178: a wavelet tour 4 Fourier Gabor Wavelet
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02/6/03 ECE 178: a wavelet tour 5 Sinusoid with a small discontinuity
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02/6/03 ECE 178: a wavelet tour 6 in the transform domain
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02/6/03 ECE 178: a wavelet tour 7 Localization (or the lack of it)
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02/6/03 ECE 178: a wavelet tour 8 Fourier decomposition = + +
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02/6/03 ECE 178: a wavelet tour 9 and the Wavelet decomposition Fourier transfor m: Similarly, the continuous wavelet transform (CWT) is defined as the sum over all time of the signal multiplied by scaled, shifted versions of the wavelet function ψ : The result of the CWT are many wavelet coefficients C, which are a function of scale and position.
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02/6/03 ECE 178: a wavelet tour 10 Wavelet decomposition
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This note was uploaded on 12/28/2011 for the course ECE 178 taught by Professor Manjunath during the Fall '08 term at UCSB.

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e178-04L10 - Wavelets: a preview February 5, 2004...

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