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Published January 1995 | Published
Journal Article Open

Blind channel identification based on second-order statistics: a frequency-domain approach

Abstract

In this communication, necessary and sufficient conditions are presented for the unique blind identification of possibly nonminimum phase channels driven by cyclostationary processes. Using a frequency domain formulation, it is first shown that a channel can be identified by the second-order statistics of the observation if and only if the channel transfer function does not have special uniformly spaced zeros. This condition leads to several necessary and sufficient conditions on the observation spectra and the channel impulse response. Based on the frequency-domain formulation, a new identification algorithm is proposed.

Additional Information

© 1995 IEEE. Reprinted with permission. Manuscript received May 2, 1993; revised May 17, 1994. This paper was presented at the International Symposium on Information Theory, San Antonio, TX, 1993. This research was supported in part by the Army Research Office under Grant DAAL03-90-G-0108, and in part by the Advanced Research Projects Agency of the Department of Defense, monitored by the Air Force Office of Scientific Research under Contract F4999620-90-C-0014, and in part by the Naval Research Laboratory under Contact N00014-94-1-G0003. This manuscript is submitted for publication with the understanding that the US. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein. The views and conclusions in this document are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Army Research Office, the Advanced Research Projects Agency, or the U.S. Government. The authors wish to thank H. Liu at the University of Texas at Austin for his comments.

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August 22, 2023
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