Application of Infinite Dimensional Linear Programming to FIR Filter Design with Time Domain Constraints

Document type: Conference Papers
Peer reviewed: Yes
Author(s): Sven Nordebo, Zhuquan Zang
Title: Application of Infinite Dimensional Linear Programming to FIR Filter Design with Time Domain Constraints
Conference name: International Conference on Acoustics, Speech and Signal Processing, ICASSP98
Year: 1998
Pagination: 1297-1300
Publisher: IEEE
City: Seattle
Organization: Blekinge Institute of Technology
Department: Department of Telecommunications and Signal Processing (Institutionen för telekommunikation och signalbehandling)
Department of Telecommunications and Signal Processing S-372 25 Ronneby
+46 455 38 50 00
Language: English
Abstract: Previously the envelope-constrained filtering problem was formulated as designing an FIR filter such that the filter's L2 norm is minimized subject to the constraint that its response to a specified input pulse lies within a prescribed envelope. In this paper, we recast this filter design problem as a frequency-domain L infinity optimization problem with time-domain constraints. Motivations for solving this problem are given. Then recently developed infinite dimensional linear programming techniques are used for the design of the required FIR filter. For illustration, we apply the approach to a numerical example which deals with the design of an equalization filter for a digital transmission channel.
Subject: Signal Processing\Filter Design
Keywords: Linear programming, Constraint theory, Optimization, Signal filtering and prediction, Algorithms
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