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Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel

Middleton, Richard H. and Rojas, Alejandro J. and Freudenberg, James S. and Braslavsky, Julio H. (2009) Feedback Stabilization Over a First Order Moving Average Gaussian Noise Channel. IEEE Transactions on Automatic Control, 54 (1). pp. 163-167. ISSN 0018-9286

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Abstract

Recent developments in information theory by Y.-H. Kim have established the feedback capacity of a first order moving average additive Gaussian noise channel. Separate developments in control theory have examined linear time invariant feedback control stabilization under signal to noise ratio (SNR) constraints, including colored noise channels. This note considers the particular case of a minimum phase plant with relative degree one and a single unstable pole at z = ø(with |ø| >1) over a first order moving average Gaussian channel. SNR constrained stabilization in this case is possible precisely when the feedback capacity of the channel satisfies Cfb ≥ log2 |ø|. Furthermore, using the results of Kim we show that there exist linear encoding and decoding schemes that achieve stabilization within the SNR constraint precisely when Cfb ≥ log2 |ø|.

Item Type: Article
Additional Information: Copyright Notice "©2009 IEEE. Reprinted from IEEE Transactions on Automatic Control. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4749443&isnumber=4749422
Keywords: Channel capacity; Colored noise; Control over communications; Signal to noise ratio (SNR); AWGN channels; Feedback; Information theory; Linear systems; Moving average processes; Stability; Feedback capacity; First order moving average Gaussian noise channel; Linear decoding; Linear encoding; Linear time invariant feedback control stabilization; Hamilton Institute.
Subjects: Science & Engineering > Hamilton Institute
Science & Engineering > Computer Science
Item ID: 1611
Identification Number: 10.1109/TAC.2008.2007183
Depositing User: Hamilton Editor
Date Deposited: 21 Oct 2009 11:25
Journal or Publication Title: IEEE Transactions on Automatic Control
Publisher: IEEE
Refereed: Yes
URI:

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