Number Theory in Digital Signal Processing
Number Theory in Digital Signal Processing
Digital Signal Processing (4th Edition)
Digital Signal Processing (4th Edition)
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The paper considers the first wavelet transform -- Haar one, and its connection with the orthogonal bases of the null spaces of cyclic endomorphisms -- filters. It is presented a new transform connected with the Haar transform through a bit-reversal matrix. This approach gives new possibilities of constructing fast transforms, especially a Fourier one.