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Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming

Li, S. J. / Teo, K. L. / Yang, X. Q. / Wu, S. Y.

Abstract In this paper, the equivalence relation between a semi-infinite quadratically constrained convex quadratic programming problem and a combined semi-definite and semi-infinite programming problem is considered. Then, an efficient and reliable discretization algorithm for solving a general class of combined semi-definite and semi-infinite programming problems is developed. Both the continuous-time envelope-constrained optimal equalization filter and the corresponding robust envelope-constrained filter for a communication channel are solved by using the proposed algorithm.

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Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming

Li, S. J. / Teo, K. L. / Yang, X. Q. / Wu, S. Y.

Abstract In this paper, the equivalence relation between a semi-infinite quadratically constrained convex quadratic programming problem and a combined semi-definite and semi-infinite programming problem is considered. Then, an efficient and reliable discretization algorithm for solving a general class of combined semi-definite and semi-infinite programming problems is developed. Both the continuous-time envelope-constrained optimal equalization filter and the corresponding robust envelope-constrained filter for a communication channel are solved by using the proposed algorithm.

Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming

Li, S. J. / Teo, K. L. / Yang, X. Q. / Wu, S. Y.

Abstract In this paper, the equivalence relation between a semi-infinite quadratically constrained convex quadratic programming problem and a combined semi-definite and semi-infinite programming problem is considered. Then, an efficient and reliable discretization algorithm for solving a general class of combined semi-definite and semi-infinite programming problems is developed. Both the continuous-time envelope-constrained optimal equalization filter and the corresponding robust envelope-constrained filter for a communication channel are solved by using the proposed algorithm.

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Title:

Robust envelope-constrained filter with orthonormal bases and semi-definite and semi-infinite programming

Contributors:

Li, S. J. (author) / Teo, K. L. (author) / Yang, X. Q. (author) / Wu, S. Y. (author)

Published in:

Optimization and Engineering ; 8

Publication date:

2007

ISSN:

DOI:

https://doi.org/10.1007/s11081-007-9022-2

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Envelope constrained filter , Robust envelope constrained filter , Semi-infinite quadratically constrained convex quadratic programming , Combined semi-definite and semi-infinite programming , Discretization algorithm

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