Minimal and complete factorization for a class of paraunitary filter banks
نویسندگان
چکیده
منابع مشابه
Symmetric delay factorization: generalized framework for paraunitary filter banks
The Symmetric Delay Factorization (SDF) is introduced in 1] for synthesizing linear phase paraunitary lter banks and is applied successfully in 2] for designing Time-Varying Filter Banks (TVFB). This paper describes a minimal and complete generalized symmetric delay factorization valid for a larger class of paraunitary lter banks, and for an arbitrary (even and odd) number of channels. The appr...
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Binary tree-structured filter banks have been employed in the past to generate wavelet bases. While the relation between paraunitary filter banks and orthonormal bases is known to some extent, there are some extensions which are either not known, or not published so far. In particular it is known that a binary tree-structured filter bank with the same paraunitary polyphase matrix on all levels ...
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z In this paper, the one-dimensional principal component lter banks (PCFB's) derived in 17] are generalized to higher dimensions. As presented in 17], PCFB's minimize the mean-squared error (MSE) when only Q out of P subbands are retained. Previously, 2D PCFB's were proposed in 16]. The work in 16] was limited to 2D signals and separable resampling operators. The formulation presented here is g...
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Paraunitary lter banks are important for several signal processing tasks. In this paper, we consider the task of adapting the coeecients of a multichan-nel FIR paraunitary lter bank via gradient ascent or descent on a chosen cost function. The proposed generalized algorithms inherently adapt the system's parameters in the space of paraunitary l-ters. Modiications and simpliications of the techn...
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ژورنال
عنوان ژورنال: Sadhana
سال: 1996
ISSN: 0256-2499,0973-7677
DOI: 10.1007/bf02781788