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Mean Square Detectability of LTI Systems over Finite-State Digital Block-Fading Channels

Wei Chen, Yuanyuan Zou*, Nan Xiao, and Yugang Niu
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.498-505, 2017

Abstract : "This paper studies the mean square quadratic (MSQ) detectability for multi-output networked systems over finite-state digital block-fading channels. The packet-loss rate of each digital fading channel depends on the channel power gain, as well as packet length and power level used for transmission. A finite-state random process is introduced to model time-varying fading channels, which characterizes various configurations of physical communication environment and/or different channel fading amplitudes. Necessary and sufficient conditions for MSQ detectability over finite-state Markov digital block-fading channels are given in the form of algebraic Riccati equations or linear matrix inequalities (LMIs). The estimation gain is given as a function of estimated/observed channel state. In addition, explicit conditions on network for MSQ detectability over finite-state independent identically distributed (i.i.d.) digital block-fading channels are presented in terms of the unstable poles of the multi-output plant. Finally, an application to Gilbert-Elliott channels (GECs) is provided to demonstrate the derived results."

Keyword : Digital communication, finite-state block-fading channels, LTI systems, MSQ detectability

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