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An overview of recent results on the identification of sparse channels using random probes

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1 Author(s)
Romberg, J. ; Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

In this paper, we collect and discuss some of the recent theoretical results on channel identification using a random probe sequence. These results are part of the body of work known as compressive sampling, a rapidly developing field whose central message is that sparse vectors can be recovered from a set of “random” underdetermined measurements. In the context of channel estimation, if the channel's impulse response is sparse, then it can be estimated by exciting the channel with a random probing sequence and then taking a relatively small number of samples of the output. We also overview recent results in multiple channel estimation that show the channel responses in a multiple-input multiple-output (MIMO) system can be efficiently estimated by exciting all of the inputs with independent random probing signals simultaneously.

Published in:

Decision and Control (CDC), 2010 49th IEEE Conference on

Date of Conference:

15-17 Dec. 2010