Translations:Two-length wavelets/13/en

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it follows that . We recall that we wrote the expression for the root of the minimum-delay wavelet. Hence, the root of the corresponding maximum-delay two-length wavelet is . Thus, the magnitude of the root of the maximum-delay wavelet is the reciprocal of the magnitude of the root of the corresponding minimum-delay wavelet. Because the root of the minimum-delay wavelet lies outside (or on) the unit circle, it follows that the root of the maximum-delay wavelet lies inside (or on) the unit circle. It is important to observe that both the roots have the same angular frequency (Figure 3).