Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets
Wavelets: a tutorial in theory and applications
Adapted wavelet analysis from theory to software
Adapted wavelet analysis from theory to software
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Smooth local trigonometric bases along with wavelet packet bases have provided a natural setup for the best basis algorithm of Coifman and Wickerhauser. We consider a best basis algorithm for local trigonometric bases with a cost function that only depends on the local behavior of the signal near the points where the local trigonometric functions overlap. The benefit is that the complexity of the algorithm is much lower than using a standard cost function in the best basis algorithm. We compare the performance of the algorithm to the best basis algorithm using an l1-norm as cost function on several test signals.