NDLI: A Sequential Partial Optimization Algorithm for Design of Near Linear-Phase IIR Digital Differentiators

Content Provider	IET Digital Library
Author	G, Hailong M E N I, Xiaoping L A I, Huoping Y
Abstract	The linear phase is a major characteristic of digital differentiators in many signal processing applications. This study presents a sequential partial optimization method for designing a fullband infinite impulse response digital differentiator with a near linear phase. To achieve a near linear phase, the group delay is treated as an optimization variable, and the maximum phase error is minimized within a constrained domain. During each iteration of the algorithm, in addition to the whole numerator and group delay, only one secondorder denominator factor is optimized. The necessary and sufficient stability triangles are applied to insure the stability of the differentiators, and the Gauss-Newton strategy is used to handle the nonconvexity of the design problems. Design examples show that the proposed method outperforms several state-of-the-art methods in terms of the maximum phase deviation from the desired linear phase.
Starting Page	968
Ending Page	977
Page Count	10
ISSN	10224653
Volume Number	28
e-ISSN	20755597
Issue Number	Issue 5, Sep (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/cje/28/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/cje.2019.06.017
Journal	Chinese Journal of Electronics
Publisher Date	2019-09-01
Access Restriction	Open
Rights Holder	© Chinese Institute of Electronics
Subject Keyword	Concave Programming Differentiation Fullband Infinite Impulse Response Digital Differentiator Gauss-Newton Strategy Group Delay Interpolation And Function Approximation Iterative Method Maximum Phase Deviation Error Near Linear-phase IIR Digital Differentiators Newton Method Numerical Analysis Numerical Integration And Differentiation Optimisation Technique Optimization Variable Sequential Estimation Sequential Partial Optimization Algorithm Sequential Partial Optimization Method Signal Processing Signal Processing And Detection Signal Processing Application Signal Processing Theory Statistics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Electrical and Electronic Engineering

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