Design of Variable Fractional Delay Filter with Fractional Delay Constraints

This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak variable fractional delay error subject to restrictions on the peak variable frequency response error. An iterative algorithm is developed to solv...

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Bibliographic Details
Published in:IEEE signal processing letters Vol. 21; no. 11; pp. 1361 - 1364
Main Author: Dam, Hai Huyen
Format: Journal Article
Language:English
Published: New York IEEE 01.11.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Approximation
Delay
Delays
Digital filters
Errors
Fractional delay constraints
Frequency response
Iterative methods
Least squares approximations
Linear approximation
Mathematical models
Noise levels
Optimization
Peak frequency
second-order cone programming problem
variable fractional delay filter
ISSN:1070-9908, 1558-2361
Online Access:Get full text
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Summary:This letter develops an efficient computational procedure for the design of an odd-order variable fractional delay (VFD) digital filter with minimum peak variable fractional delay error subject to restrictions on the peak variable frequency response error. An iterative algorithm is developed to solve the formulated non-linear optimization problem where a first order linear approximation is employed for the variable fractional delay error. This results in a second-order cone programming (SOCP) problem with linear constraints. Design examples show that the peak fractional delay error can be reduced significantly from the minimax solution while maintaining approximately the same peak frequency response error. In addition, for a fixed level of peak variable frequency response error, approximately 1.61-2.09 dB improvement for the peak variable delay error can be obtained over existing methods.
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ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2014.2336662