A Design Algorithm of Fractional Delay Filter based on Second-order Cone Programming

To flexibly control the approximation error of the filter frequency response, a fractional delay filter design algorithm based on second-order cone programming (SCP) is proposed in this paper. On the basis of the weighted least squares (WLS) algorithm, the magnitude and phase frequency response appr...

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Bibliographic Details
Published in2021 7th International Conference on Computer and Communications (ICCC) pp. 1092 - 1096
Main Authors Kexin, Jia, Rubin, Zhang
Format Conference Proceeding
LanguageEnglish
Published IEEE 10.12.2021
Subjects
Approximation algorithms
Approximation error
Convex functions
Filtering algorithms
Fractional Delay Filter
Frequency response
Magnitude-Phase Error
Programming
Second-order Cone Programming
Transforms
Weighted Least Squares
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DOI10.1109/ICCC54389.2021.9674398

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Summary:To flexibly control the approximation error of the filter frequency response, a fractional delay filter design algorithm based on second-order cone programming (SCP) is proposed in this paper. On the basis of the weighted least squares (WLS) algorithm, the magnitude and phase frequency response approximation constraints of the filter are firstly added. Then the proposed algorithm models the filter design as a second cone programming based convex optimization problem by linearizing magnitude and phase frequency response approximation constraints, and obtains the global optimal solution of the fractional delay filter coefficient. The simulation examples are presented to show the effectiveness of proposed algorithm.
DOI:10.1109/ICCC54389.2021.9674398