Wavelet filter

Definition: A wavelet is a waveform of limited duration that has an average value of zero. Some wavelets are defined by a mathematical expression and are drawn as continuous and infinite, called crude wavelets. Before combining with a digital signal, the crude wavelets should be first converted to wavelet filters having a finite number of discrete points. In other words, we evaluate the crude wavelet equation at the desired points in time (usually equispaced) to create the filter values at those times.Definition: A wavelet is a waveform of limited duration that has an average value of zero. Some wavelets are defined by a mathematical expression and are drawn as continuous and infinite, called crude wavelets. Before combining with a digital signal, the crude wavelets should be first converted to wavelet filters having a finite number of discrete points. In other words, we evaluate the crude wavelet equation at the desired points in time (usually equispaced) to create the filter values at those times.

Alternative definition: Wavelets are brief wave-like oscillations that are localized. A wavelet filter is a signal processing technique that enables the exclusion of short-time duration patterns captured by the used wavelet. The patterns to be filtered out depend on the wavelet family used and the number of levels of decomposition.

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