By Bernard Widrow
A accomplished and useful remedy of adaptive sign processing that includes common use of examples.
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Similar definitions give us addition, multiplication by a scalar, dilation, translation, and multiplication by a polynomial. , fn—*f in Sf if (/ n , Θ) —> (/, Θ) for each Θ e
The following corollary of the above theorem is easy to verify, where we recall that all of the entries of a flat wavelet matrix have the same absolute value. Corollary 14. The tensor products of two ßat Haar wavelets matrices is a ûat Haar wavelet matrix. 4. Examples of Haar wavelet matrices In this subsection we want to illustrate the wide variety of Haar wavelet matrices which have already appeared in the literature in a number of special cases. We will expand on some of these examples as they will be useful in applications, but for the moment will concentrate on special cases of the general concept of a Haar wavelet matrix.
50 P. Heller et al. 22. Walsh, J. , A closed set of orthogonal functions, Amer. J. Math. 45 (1923), 5-24. 23. , R. , Parametrizing smooth compactly supported wavelets, Trans. Amer. Math. Soc, 1991, to appear. This material is based upon work supported by AFOSR under grant number 90-0334 which was funded by DARPA, and by Aware, Inc. Peter N. Heller Aware, Inc. University Place 124 Mt. Auburn Street Cambridge, MA 02138 Howard L. Resnikoff Aware, Inc. University Place 124 Mt. Auburn Street Cambridge, MA 02138 Raymond O.
Adaptive Signal Processing by Bernard Widrow
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