Infimal feedback capacity for a class of additive coloured Gaussian noise channels

Title: Infimal feedback capacity for a class of additive coloured Gaussian noise channels
Creator: Rojas, A. J.; Middleton, R. H.; Freudenberg, J. S.
Relation: 17th World Congress of the International Federation of Automatic Control (IFAC 2008). Proceedings of the 17th World Congress of the International Federation of Automatic Control (Seoul, Korea 6-11 July, 2008) p. 5173-5178
Relation: http://www.ifac-papersonline.net/Detailed/36582.html
Publisher: IFAC
Resource Type: conference paper
Date: 2008
Description: In this paper we consider the infimal signal-to-noise ratio (SNR) required for stabilisation of a linear time invariant (LTI) scalar unstable plant over a class of additive coloured Gaussian noise channels. We apply recent results in the literature to obtain the feedback capacity of such a class of channels. We prove that the infimal SNR constrained LTI solution, when dealing with a scalar unstable plant, does achieve a channel feedback capacity equal to the infimal rate of transmission required for stability. The optimality of such channel feedback capacity is a non trivial result since we consider additive 1st order moving average (MA) and autoregressive moving average (ARMA) coloured noise.
Subject: control over networks; control under communication constraints
Identifier: uon:6104
Identifier: http://hdl.handle.net/1959.13/802468
Identifier: ISBN:9781123478902
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