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Condition number-constrained matrix approximation with applications to signal estimation in communication systems

Journal Article


Abstract


  • This letter introduces condition number-constrained approximation to matrices used for signal estimation and detection. Under a Frobenius norm criterion, the closed-form solution to the optimal approximation is derived, which can be found efficiently for arbitrary condition number constraints. The resulting approximation techniques are applied to the imperfectly estimated covariance and channel matrices used for estimating transmit signals in communication systems. With an appropriately chosen value of condition number, the robustness of the linear and decision-feedback estimators (DFE) against model mismatch can be significantly improved.

Publication Date


  • 2014

Citation


  • J. Tong, Q. Guo, S. Tong, J. Xi & Y. Yu, "Condition number-constrained matrix approximation with applications to signal estimation in communication systems," IEEE Signal Processing Letters, vol. 21, (8) pp. 990-993, 2014.

Scopus Eid


  • 2-s2.0-84901004262

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2900

Has Global Citation Frequency


Number Of Pages


  • 3

Start Page


  • 990

End Page


  • 993

Volume


  • 21

Issue


  • 8

Place Of Publication


  • United States

Abstract


  • This letter introduces condition number-constrained approximation to matrices used for signal estimation and detection. Under a Frobenius norm criterion, the closed-form solution to the optimal approximation is derived, which can be found efficiently for arbitrary condition number constraints. The resulting approximation techniques are applied to the imperfectly estimated covariance and channel matrices used for estimating transmit signals in communication systems. With an appropriately chosen value of condition number, the robustness of the linear and decision-feedback estimators (DFE) against model mismatch can be significantly improved.

Publication Date


  • 2014

Citation


  • J. Tong, Q. Guo, S. Tong, J. Xi & Y. Yu, "Condition number-constrained matrix approximation with applications to signal estimation in communication systems," IEEE Signal Processing Letters, vol. 21, (8) pp. 990-993, 2014.

Scopus Eid


  • 2-s2.0-84901004262

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2900

Has Global Citation Frequency


Number Of Pages


  • 3

Start Page


  • 990

End Page


  • 993

Volume


  • 21

Issue


  • 8

Place Of Publication


  • United States