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WFILT_LEMARIE - Battle and Lemarie filters

Usage

[h,g,a]=wfilt_lemarie(N)

Input parameters

N Filter length, must be even.

Description

[h,g,a]=wfilt_lemarie(N) calculates \(N\) (even) truncated coeficients of orthonormal Battle-Lemarie wavelets. Filter coefficients are obtained by frequency domain sampling and trunctating the impulse response. Due to the truncation, the filterbank might not achieve a perfect reconstruction. The filetrs are included nevertheless since they were the original ones used in the first MRA paper.

Examples:

wfiltinfo('lemarie50');

References:

S. G. Mallat. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell., 11(7):674--693, July 1989. [ DOI | http ]