DocumentCode :
3162045
Title :
Necessary and sufficient conditions for mean square stabilization over MIMO SNR-constrained channels
Author :
Vargas, Francisco J. ; Jie Chen ; Silva, Eduardo I.
Author_Institution :
Dept. de Electron., Univ. Tec. Federico Santa Maria, Valparaiso, Chile
fYear :
2012
fDate :
10-13 Dec. 2012
Firstpage :
26
Lastpage :
31
Abstract :
This paper studies mean square stabilization of MIMO discrete-time linear time-invariant systems over a parallel MIMO additive white noise (AWN) channel. Such channel consists of multiple independent SISO AWN channels subject to independent input power constraints. We derive dynamic output feedback stabilization conditions subject to such constraints, for minimum phase plants that have relative degree one. Consequently, these conditions are also valid for general plants provided that state feedback is employed. Our results show that necessary and sufficient condition for stabilization can be determined by studying the feasibility of a constrained algebraic Riccati equation. These results are also extended to stabilization problems subject to channel capacity constraints.
Keywords :
AWGN channels; MIMO communication; MIMO systems; Riccati equations; channel capacity; discrete time systems; linear systems; stability; state feedback; AWN channel; MIMO; SISO; SNR; additive white noise channel; channel capacity constraint; constrained algebraic Riccati equation; discrete time system; dynamic output feedback stabilization; linear time-invariant system; mean square stabilization; necessary and sufficient condition; power constraint; state feedback; Downlink; MIMO; Signal to noise ratio; Transfer functions; Uplink; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
ISSN :
0743-1546
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
Type :
conf
DOI :
10.1109/CDC.2012.6425963
Filename :
6425963
Link To Document :
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