Results on principal component filter banks: colored noise suppression and existence issues
نویسندگان
چکیده
منابع مشابه
Results on Principal Component Filter Banks : Colored Noise Suppression and Existence Issues 1
We have recently made explicit the precise connection between the optimization of orthonor-mal lter banks (FB's) and the principal component property: The principal component lter bank (PCFB) is optimal whenever the minimization objective is a concave function of the subband variances of the FB. This explains PCFB optimality for compression, progressive transmission and various hitherto unnotic...
متن کاملResults on principal component filter banks: Colored noise suppression and existence issues
We have recently made explicit the precise connection between the optimization of orthonormal filter banks (FBs) and the principal component property: The principal component filter bank (PCFB) is optimal whenever the minimization objective is a concave function of the subband variances of the FB. This explains PCFB optimality for compression, progressive transmission, and various hitherto unno...
متن کاملPrincipal component filter banks: existence issues, and application to modulated filter banks
Principal component lter banks (PCFB's) sequentially compress most of the input signal energy into the rst few subbands, and are mathematically de ned using the notion of majorization. In a series of recent works, we have exploited connections between majorization and convexity theory to provide a uni ed explanation of PCFB optimality for numerous signal processing problems, involving compressi...
متن کاملOn existence of FIR principal component filter banks
In this paper we have two interesting results. One is of theoretical interest and the other practical. The theoretical result is that the optimum FIR orthonormal lter bank of a xed nite degree that maximizes the coding gain does not always contain an optimum compaction lter. In other words, in general, there does not exist a principal component lter bank (PCFB) of a given nonzero degree. This i...
متن کاملThe Role of Principal Component Filter Banks in Noise Reduction
The purpose of this paper is to demonstrate the optimality properties of principal component filter-banks for various noise reduction schemes. Optimization of filter-banks (FB’s) for coding gain maximization has been carried out in the literature, and the optimized solutions have been observed to satisfy the principal component property, which has independently been studied. Here we show a stro...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2001
ISSN: 0018-9448
DOI: 10.1109/18.915656