Wavelet Transform

A representation of a function or signal by coefficients obtained from inner products with a family of localized, dilated and translated basis functions (wavelets), encoding both scale and location information.

A multiresolution linear transform that represents signals or functions by superposing localized basis functions (wavelets) obtained from dilations (scales) and translations of a mother wavelet; provides time-frequency localization and sparse representation for multiscale phenomena.

A time–frequency transform that represents functions or signals using translates and dilates of a mother wavelet, providing localized analysis in both time and scale (frequency) and producing continuous or discrete coefficient sets depending on sampling.