IEVref: 103-04-12 ID: Language: en Status: Standard Term: continuous wavelet transform Synonym1: CWT Synonym2: Synonym3: Symbol: Definition: integral of the product of a function and a shifted and scaled waveletNote 1 to entry: For a function $f\left(t\right)$ and a wavelet $\psi \left(t\right)$: ${C}_{f}\left(a,b\right)={\int }_{-\infty }^{+\infty }f\left(t\right)\text{\hspace{0.17em}}{\psi }_{a,b}^{\ast }\left(t\right)\mathrm{d}t$ 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 Source: Replaces: Internal notes: 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO CO remarks: TC/SC remarks: VT remarks: Domain1: Domain2: Domain3: Domain4: Domain5: