FREQUENCY INTERVAL MODEL REDUCTION OF COMPLEX FIR DIGITAL FILTERS

Ahmad Jazlan; Umair Zulfiqar; Victor Sreeram; Deepak Kumar; Roberto Togneri; Hasan Firdaus Mohd Zaki

doi:10.3934/naco.2019021

FREQUENCY INTERVAL MODEL REDUCTION OF COMPLEX FIR DIGITAL FILTERS

Ahmad Jazlan, Umair Zulfiqar, Victor Sreeram, Deepak Kumar, Roberto Togneri, Hasan Firdaus Mohd Zaki

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example.

Original language	English
Pages (from-to)	319-326
Number of pages	8
Journal	Numerical Algebra, Control and Optimization
Volume	9
Issue number	3
DOIs	https://doi.org/10.3934/naco.2019021
Publication status	Published - Sept 2019

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title = "FREQUENCY INTERVAL MODEL REDUCTION OF COMPLEX FIR DIGITAL FILTERS",

abstract = "In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example.",

keywords = "Model Reduction, balanced Truncation, FIR and IIR Filters, DESIGN, SYSTEMS, DOMAIN",

author = "Ahmad Jazlan and Umair Zulfiqar and Victor Sreeram and Deepak Kumar and Roberto Togneri and Zaki, {Hasan Firdaus Mohd}",

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T1 - FREQUENCY INTERVAL MODEL REDUCTION OF COMPLEX FIR DIGITAL FILTERS

AU - Jazlan, Ahmad

AU - Zulfiqar, Umair

AU - Sreeram, Victor

AU - Kumar, Deepak

AU - Togneri, Roberto

AU - Zaki, Hasan Firdaus Mohd

PY - 2019/9

Y1 - 2019/9

N2 - In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example.

AB - In this paper, a model reduction method for FIR filters with complex coefficients based on frequency interval impulse response Gramians is developed. The advantage of the proposed method is that only one Lyapunov equation needs to be solved in order to obtain the information regarding the frequency interval controllability and observability of the system. In addition this method overcomes the limitations of using cross Gramians which are not applicable for filters with complex coefficients. The effectiveness of the proposed method is demonstrated by a numerical example.

KW - Model Reduction

KW - balanced Truncation

KW - FIR and IIR Filters

KW - DESIGN

KW - SYSTEMS

KW - DOMAIN

U2 - 10.3934/naco.2019021

DO - 10.3934/naco.2019021

M3 - Article

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JO - Numerical Algebra, Control and Optimization

JF - Numerical Algebra, Control and Optimization

IS - 3

ER -

FREQUENCY INTERVAL MODEL REDUCTION OF COMPLEX FIR DIGITAL FILTERS

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