NDLI: Jointly Optimal High-Order Error Feedback and Realization for Roundoff Noise Minimization in 1-D and 2-D State-Space Digital Filters

Content Provider	IEEE Xplore Digital Library
Author	Hinamoto, T. Doi, A. Wu-Sheng Lu
Copyright Year	1991
Abstract	Joint optimization of high-order error feedback and state-space realization for minimizing roundoff noise at filter output subject to l₂-scaling constraints is investigated for one- and two-dimensional state-space digital filters. Linear algebraic techniques that convert the problems at hand into an unconstrained optimization problem are explored, and an efficient quasi-Newton algorithm is then applied to solve the unconstrained optimization problem iteratively. In this connection, closed-form formulas are derived for fast and accurate gradient evaluation. Finally, case studies are presented to demonstrate that the high-order error feedback does offer much improved performance and that the proposed joint optimization is superior relative to a sequentially optimized system where the state-space coordinate transformation and high-order error feedback matrices are optimized separately.
Sponsorship	IEEE Signal Processing Society
Starting Page	5893
Ending Page	5904
Page Count	12
File Size	4484532
File Format	PDF
ISSN	1053587X
Volume Number	61
Issue Number	23
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise Vectors Optimization State-space methods Feedforward neural networks Minimization Signal processing algorithms roundoff noise $l_{2}$-scaling constraints 1-D state-space digital filter 2-D state-space digital filter high-order error feedback joint optimization no overflow oscillation quantization error quasi-Newton method realization Roesser's model
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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