Entropy encoding, Hilbert space, and Karhunen-Loève transforms
نویسندگان
چکیده
منابع مشابه
Entropy encoding, Hilbert space, and Karhunen-Loève transforms
Historically, the Karhunen-Loève KL decomposition arose as a tool from the interface of probability theory and information theory see details with references inside the paper . It has served as a powerful tool in a variety of applications, starting with the problem of separating variables in stochastic processes, say, Xt, and processes that arise from statistical noise, for example, from fracti...
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Most orthogonal signal decompositions, including block transforms, wavelet transforms, wavelet packets, and perfect reconstruction filterbanks in general, can be represented by a paraunitary system matrix. Here, we consider the general problem of finding the optimal P x P paraunitary transform that minimizes the approximation error when a signal is reconstructed from a reduced number of compone...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2793569