**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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