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- W3021717425 abstract "Publisher SummaryThis chapter highlights the use of wavelets and wavelet transforms as an alternative method of spectral analysis. It also discusses a number of common wavelets and introduces Wavelet Toolbox of the MATLAB® software. A wavelet is a function that satisfies at least the following two criteria: the integral of the function O(x) over all x is 0 and the square of O(x) has integral 1. Fulfilling the first criterion mandates that the wavelet function have an equal area above and below zero. Fulfilling the second criterion mandates that the function approach zero at positive and negative infinity. Because of this second criterion, the function decays away from the origin, unlike sinusoidal or other infinite waves. The continuous wavelet transform (CWT) is analogous to the continuous Fourier transform." @default.
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- W3021717425 date "2009-01-01" @default.
- W3021717425 modified "2023-09-24" @default.
- W3021717425 title "Wavelets" @default.
- W3021717425 doi "https://doi.org/10.1016/b978-0-12-374551-4.00009-9" @default.
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