NDLI: The Role of GTD in Optimizing Perfect Reconstruction Filter Banks

Content Provider	IEEE Xplore Digital Library
Author	Ching-Chih Weng Vaidyanathan, P.P.
Copyright Year	1991
Abstract	Filter bank optimization for specific input statistics has been of great interest in both theory and practice in many signal processing applications. In this paper we propose GTD (generalized triangular decomposition) filter banks as a subband coder for optimizing the theoretical coding gain. We focus on perfect reconstruction orthonormal GTD filter banks and biorthogonal GTD filter banks. We show that in both cases there are two fundamental properties in the optimal solutions, namely, total decorrelation and spectrum equalization. The optimal solutions can be obtained by performing the frequency dependent GTD on the Cholesky factor of the input power spectrum density matrices. We also show that in both theory and numerical simulations, the optimal GTD subband coders have superior performance than optimal traditional subband coders. In addition, the uniform bit loading scheme can, with no loss of optimality, be used in the optimal biorthogonal GTD coders, which solves the granularity problem in the conventional optimum bit loading formula. We then extend the use of GTD filter banks to wireless communication systems, where linear precoding and zero-forcing decision feedback equalization is used in frequency selective channels. We consider the quality of service (QoS) problem of minimizing the transmitted power subject to the bit error rate and total bit rate constraints. Optimal systems with orthonormal precoder and unconstrained precoder are both derived and shown to be related to the frequency dependent GTD of the channel frequency response.
Sponsorship	IEEE Signal Processing Society
Starting Page	112
Ending Page	128
Page Count	17
File Size	980613
File Format	PDF
ISSN	1053587X
Volume Number	60
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decorrelation Encoding Matrix decomposition Loading Bit rate Noise Frequency dependence transceivers Filter banks generalized triangular decomposition linear prediction subband coders
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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