2019
DOI: 10.1002/jnm.2692
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Two‐dimensional FIR filters model order reduction and frequency transformation: Maximum error invariance

Abstract: This paper presents a numerical study of the maximum error in model order reduction (MOR) for finite impulse response (FIR) 2‐D digital filter under frequency transformation, which is based on the Roesser state‐space formulation. This study discuss the maximum error obtained from the 2‐D balanced truncation method after and before using the frequency transformation. Several numerical examples are realized to show the invariant of the maximum error in all frequency transformation cases (single variable, two‐var… Show more

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Cited by 3 publications
(1 citation statement)
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“…) hN . The transfer function can be expressed as(Song et al 2020;Bouhamla et al 2020) He  and ()  are the magnitude response and the phase response, respectively.If the ideal frequency response for the FIR digital filter is | ( of the square error between the amplitude of the designed filter | (…”
mentioning
confidence: 99%
“…) hN . The transfer function can be expressed as(Song et al 2020;Bouhamla et al 2020) He  and ()  are the magnitude response and the phase response, respectively.If the ideal frequency response for the FIR digital filter is | ( of the square error between the amplitude of the designed filter | (…”
mentioning
confidence: 99%