- Title
- Feedback stabilization over a first order moving average Gaussian noise channel
- Creator
- Middleton, Richard H.; Rojas, Alejandro J.; Freudenberg, James S.; Braslavsky, Julio H.
- Relation
- IEEE Transactions on Automatic Control Vol. 54, Issue 1, p. 163-167
- Publisher Link
- http://dx.doi.org/10.1109/TAC.2008.2007183
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2009
- Description
- 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 = ϕ (with |ϕ| > 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 |ϕ|. 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 |ϕ|.
- Subject
- channel capacity; colored noise; control over communications; signal to noise ratio (SNR)
- Identifier
- http://hdl.handle.net/1959.13/805695
- Identifier
- uon:6912
- Identifier
- ISSN:0018-9286
- Rights
- Copyright © 2009 IEEE. Reprinted from IEEE Transactions on Automatic Control. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Newcastle's products or services. Internal or 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 must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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