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

다국어 초록 (Multilingual Abstract)

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

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