Optimum Design of Discrete-Time Differentiators via Semi-Infinite Programming Approach

• Published in: IEEE transactions on instrumentation and measurement Vol. 57; no. 10; pp. 2226 - 2230
• Main Authors: Ho, C.Y.-F., Ling, B.W.-K., Yan-Qun Liu, Tam, P.K.-S., Kok-Lay Teo
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2008; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Computational efficiency; Constraint optimization; Councils; Design optimization; Differentiators; Discrete-time differentiators; dual parameterization algorithm; eigen approach; Heating; Least squares methods; Mathematical models; Mathematics; Optimization; Parametrization; peak-constrained least squares approach; Physics; Programming; Remez approach; Ripples; semi-infinite programming; semidefinite programming approach; Signal processing algorithms; Statistics; Studies; Remez approach; semidefinite programming approach; peak-constrained least squares approach; Discrete-time differentiators; semi-infinite programming; dual parameterization algorithm; eigen approach
• ISSN: 0018-9456; 1557-9662
• DOI: 10.1109/TIM.2008.922090

In this paper, a general optimum full-band, high-order discrete-time differentiator design problem is formulated as a peak-constrained least squares optimization problem. That is, the objective of the optimization problem is to minimize the total weighted square error of the magnitude response subje...