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

S. J. Li, K. L. Teo, Xiaoqi Yang, Soon Yi Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)299-319
Number of pages21
JournalOptimization and Engineering
Volume8
Issue number3
DOIs
Publication statusPublished - 1 Sept 2007

Keywords

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

ASJC Scopus subject areas

  • Software
  • Civil and Structural Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

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