e178-04L10

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

This preview shows pages 1–11. Sign up to view the full content.

Wavelets: a preview February 5, 2004 Acknowledgements : Material compiled from the MATLAB Wavelet Toolbox UG.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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.
02/6/03 ECE 178: a wavelet tour 3 Gabor s proposal

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
02/6/03 ECE 178: a wavelet tour 4 Fourier Gabor Wavelet
02/6/03 ECE 178: a wavelet tour 5 Sinusoid with a small discontinuity

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
02/6/03 ECE 178: a wavelet tour 6 in the transform domain
02/6/03 ECE 178: a wavelet tour 7 Localization (or the lack of it)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
02/6/03 ECE 178: a wavelet tour 8 Fourier decomposition = + +
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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
02/6/03 ECE 178: a wavelet tour 10 Wavelet decomposition
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/28/2011 for the course ECE 178 taught by Professor Manjunath during the Fall '08 term at UCSB.

### Page1 / 34

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

This preview shows document pages 1 - 11. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online