IEVref:103-04-12ID:
Language:enStatus: Standard
Term: continuous wavelet transform
Synonym1: CWT
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Symbol:
Definition: integral of the product of a function and a shifted and scaled wavelet

Note 1 to entry: For a function f(t) and a wavelet ψ(t):

Cf(a,b)=+f(t)ψa,b(t)dt

where a is the scale parameter, b is the position parameter, and * denotes the complex conjugate.

Note 2 to entry: A discrete wavelet transform is obtained by choosing a finite number of values of the two parameters. The inverse transform expresses the function of time as a superposition of wavelets.


Publication date:2009-12
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
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