NDLI: Modulated filter banks with arbitrary system delay: efficient implementations and the time-varying case

Content Provider	IEEE Xplore Digital Library
Author	Schuller, G.D.T. Karp, T.
Copyright Year	1991
Abstract	We present a new method for the design and implementation of modulated filter banks with perfect reconstruction. It is based on the decomposition of the analysis and synthesis polyphase matrices into a product of two different types of simple matrices, replacing the polyphase filtering part in a modulated filter bank. Special consideration is given to cosine-modulated as well as time-varying filter banks. The new structure provides several advantages. First of all, it allows an easy control of the input-output system delay, which can be chosen in single steps of input sampling rate, independent of the filter length. This property can be used in audio coding applications to reduce pre-echoes. Second, it results in a structure that is nearly twice as efficient as performing the polyphase filtering directly. Perfect reconstruction is a structurally inherent feature of the new formulation, even for nonlinear operations or time-varying coefficients. Hence, the structure is especially suited for the design of time-varying filter banks where both the number of bands as well as the prototype filters can be changed while maintaining perfect reconstruction and critical sampling. Further, a proof of effective completeness is given, and the design of equal magnitude-response analysis and synthesis filter banks is described. Filter design can be performed by nonconstrained optimization of the matrix coefficients according to a given cost function. Design and audio-coding application examples are given to show the performance of the new filter bank.
Sponsorship	IEEE Signal Processing Society
Starting Page	737
Ending Page	748
Page Count	12
File Size	260762
File Format	PDF
ISSN	1053587X
Volume Number	48
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Filter bank Delay systems Matrix decomposition Filtering Sampling methods Design methodology Control system synthesis Control systems Audio coding Prototypes
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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