A Matrix-based Algorithm for the Minimax Design of 2-D FIR Filters with Frequency Constraints

An efficient algorithm is proposed for the minimax design of two-dimensional (2-D) linear-phase FIR filters with frequency inequality constraints. The method converts the constrained minimax design problem into a series of unconstrained weighted minimax design problems, where the weighting function...

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Bibliographic Details
Published in:Chinese Control Conference pp. 4077 - 4080
Main Authors: Zhang, Xiaoxue, Zhao, Ruijie
Format: Conference Proceeding
Language:English
Published: Technical Committee on Control Theory, Chinese Association of Automation 01.07.2018
Subjects:
2-D FIR filters
Finite impulse response filters
frequency inequality constraints
Iterative algorithms
Linear matrix inequalities
Matrix converters
matrix-based algorithm
minimax design
Optimization
Passband
Two dimensional displays
ISSN:1934-1768
Online Access:Get full text
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Summary:An efficient algorithm is proposed for the minimax design of two-dimensional (2-D) linear-phase FIR filters with frequency inequality constraints. The method converts the constrained minimax design problem into a series of unconstrained weighted minimax design problems, where the weighting function is appropriately updated in each iteration. Further, these unconstrained weighted minimax design problems are solved efficiently using a matrix-based iterative reweighted least-squares (IRLS) algorithm. Moreover, the proposed algorithm is guaranteed to converge to the optimal solution provided it exists. Finally, a design example and comparison with existing method are provided to demonstrate the effectiveness and efficiency of the proposed method.
ISSN:1934-1768
DOI:10.23919/ChiCC.2018.8483449