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Semi-Infinite Linear Programming: A Unified Approach to Digital Filter Design with Time- and Frequency-domain Specifications
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1999 (English)In: IEEE transactions on circuits and systems. 2, Analog and digital signal processing (Print), ISSN 1057-7130, E-ISSN 1558-125X, Vol. 46, no 6, 765-775 p.Article in journal (Refereed) Published
Abstract [en]

Using the recently developed semi-infinite linear programming techniques and Caratheodory's dimensionality theory, we present a unified approach to digital filter design with time and/or frequency-domain specifications. Through systematic analysis and detailed numerical design examples, we demonstrate that the proposed approach exhibits several salient features compared to traditional methods: 1) using the unified approach, complex responses can be handled conveniently without resorting to discretization; 2) time-domain constraints can be included easily; and 3) any filter structure, recursive or nonrecursive, can be employed, provided that the frequency response can be represented by a finite-complex basis. More importantly, the solution procedure is based on the numerically efficient simplex extension algorithms. As numerical examples, a discrete-time Laguerre network is used in a frequency-domain design with additional group-delay specifications, and in a H-infinity-optimal envelope constrained filter design problem. Finally, a finite impulse response phase equalizer is designed with additional frequency domain H-infinity, robustness constraints.

Place, publisher, year, edition, pages
IEEE , 1999. Vol. 46, no 6, 765-775 p.
Keyword [en]
igital filter design, Laguerre filters, linear programming, semi-infinite programming
National Category
Signal Processing
URN: urn:nbn:se:bth-9815ISI: 000080907100010Local ID: diva2:837766
Available from: 2012-09-18 Created: 2002-11-11 Last updated: 2015-06-30Bibliographically approved

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IEEE transactions on circuits and systems. 2, Analog and digital signal processing (Print)
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