Legendre Multiresolution Filter Coefficients
A suitable phase assignment is done so as to properly adjust the transfer function to the form
The filter coefficients, are given by:
It follows then the symmetry: . There are just non-zero filter coefficients on, so that the Legendre wavelets have compact support for every odd integer .
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- Table I - Smoothing Legendre FIR filter coefficients for =1,3,5 (N is the wavelet order.)
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| (N=1) | (N=2) | (N=3) | |
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- N.B. The minus signal can be suppressed.
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Read more about this topic: Legendre Wavelet