Web Reference: The wavelets are scaled and translated copies (known as "daughter wavelets") of a finite-length or fast-decaying oscillating waveform (known as the "mother wavelet"). Wavelets are mathematical functions that cut up data into diο¬erent frequency com- ponents, and then study each component with a resolution matched to its scale. Given a mother wavelet, an orthogonal family of wavelets can be obtained by properly choosing a = af and b = nbo, where m and n are integers, a0 > 1 is a dilation parameter, and b0 > 0 is a translation parameter.
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