Title
Design of IIR Digital Differentiators Using Constrained Optimization
Abstract
A new optimization method for the design of fullband and lowpass IIR digital differentiators is proposed. In the new method, the passband phase-response error is minimized under the constraint that the maximum passband amplitude-response relative error is below a prescribed level. For lowpass IIR differentiators, an additional constraint is introduced to limit the average squared amplitude response in the stopband so as to minimize any high-frequency noise that may be present. Extensive experimental results are included, which show that the differentiators designed using the proposed method have much smaller maximum phase-response error for the same passband amplitude-response error and stopband constraints when compared with several differentiators designed using state-of-the-art competing methods.
Year
DOI
Venue
2014
10.1109/TSP.2014.2302733
Signal Processing, IEEE Transactions  
Keywords
Field
DocType
IIR filters,low-pass filters,optimisation,signal processing,constrained optimization,full band IIR digital differentiator,low-pass IIR digital differentiator,maximum passband amplitude response relative error,optimization method,Digital differentiators,IIR filter design,design of filters by optimization
Passband,Differentiator,Control theory,Infinite impulse response,2D Filters,Low-pass filter,Mathematics,Approximation error,Stopband,Constrained optimization
Journal
Volume
Issue
ISSN
62
7
1053-587X
Citations 
PageRank 
References 
10
0.55
6
Authors
3
Name
Order
Citations
PageRank
Rajeev C. Nongpiur1577.06
Dale J. Shpak2100.55
A. Antoniou326730.79