Communication-Inspired Sensing

Wenshu Zhang, Liuqing Yang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Information theory, and particularly the mutual information (MI) has provided fundamental guidance for communications research. In [1], the MI was first applied to radar waveform design. However, the practical meaning of MI in the sensing context remains unclear. Recently, [6] shows that under the white noise assumption, the water-filling scheme simultaneously maximizes the MI and minimizes the minimum MSE (MMSE). Such an equivalence disappears when the target parameter statistics are not perfectly known [7]. To further the understanding of the practical meaning of MI and to establish a connection between MI and commonly adopted MSE measures for sensing, this paper takes a fresh look at the target estimation problem, by considering the general colored noise, incorporating the normalized MSE (NMSE), and establishing joint robust designs for both the transmitter (waveforms) and the receiver (estimator) under various target and noise uncertainty levels. Our results show that: i) the optimum waveform designs resulted from the MI, MMSE and NMSE criteria are all different; and ii) compared to MMSE, the NMSE-based designs share more similarities with the MI-based ones, especially when the target and noise statistics are not perfectly known.

Original languageEnglish (US)
Title of host publication2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
Pages193-197
Number of pages5
DOIs
StatePublished - 2008
Externally publishedYes
Event2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008 - Pacific Grove, CA, United States
Duration: Oct 26 2008Oct 29 2008

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
ISSN (Print)1058-6393

Other

Other2008 42nd Asilomar Conference on Signals, Systems and Computers, ASILOMAR 2008
CountryUnited States
CityPacific Grove, CA
Period10/26/0810/29/08

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