Optimizing FIR Approximation for Discrete-Time IIR Filters
Date
2003
Authors
Yamamoto, Yutaka
Anderson, Brian
Nagahara, Masaaki
Koyanagi, Yoko
Journal Title
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Volume Title
Publisher
Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
Finite-impulse response (FIR) filters are often preferred to infinite-impulse response (IIR) filters because of their various advantages in respect of stability, phase characteristic, implementation, etc. This letter proposes a new method to approximate an IIR filter by an FIR filter, which directly yields an optimal approximation with respect to the H∞ error norm. We show that this design problem can be reduced to a linear matrix inequality. We will also make a comparison via a numerical example with an existing method, known as the Nehari shuffle.
Description
Keywords
Keywords: Electric network synthesis; IIR filters; Linear control systems; Markov processes; Matrix algebra; Optimization; Poles and zeros; Discrete-time infinite impulse response filters; Finite-impulse response filter approximation; Linear matrix inequality; FIR Finite-impulse response (FIR) filter approximation; H8 optimization; Linear matrix inequality
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Source
IEEE Signal Processing Letters
Type
Journal article
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2037-12-31