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Titlebook: Mathematical Transformations and Wavelet Filters for Source Coding and Signal Processing Systems; William A. Pearlman Book 2023 The Editor

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Introduction,cessing and signal (audio, image, video, scientific data) compression. They help reduce algorithmic complexity and computation time, increase the efficiency of digital processing in signal estimation and restoration, and substantially reduce transmission rate and storage requirements. This introduct
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Block Transforms,rce samples and encoders and decoders of the transformed blocks. We derive the optimal allocation of rate and distortion for encoding a Gaussian source using the mean squared error distortion criterion. We derive a formula for . for an arbitrary transform and the optimal Karhunen-Loève Transform.
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,Transforms via Filter Banks,transformed blocks using a bank of filters followed by downsampling. The reconstruction is realized with a filter bank performing upsampling and filtering. Here we present the details of how this is done.
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Subband Transforms,nsform, as we shall see, is just a particular kind of subband transform. The source sequence is fed to a bank of bandpass filters which are contiguous and cover the full frequency range. The set of output signals are the subband signals and can be recombined without degradation to produce the origin
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