IEICE TRANSACTIONS on Fundamentals
Indirect Approach for Designing Low-Order Linear-Phase IIR Filters Using the Rational Arnoldi Method with Adaptive Orders
Summary :
A new indirect approach for designing low-order linear-phase IIR filters is presented in this paper. Given an FIR filter, we utilize a new Krylov subspace projection method, called the rational Arnoldi method with adaptive orders, to synthesize an approximated IIR filter with small orders. The synthesized IIR filter can truly reflect essential dynamical features of the original FIR filter and indeed satisfies the design specifications. Also, from simulation results, it can be observed that the linear-phase property in the passband is stilled retained. This indirect approach is accomplished using the state-space realization of FIR filters, multi-point Pade approximations, the Arnoldi algorithm, and an intelligent scheme to select expansion points in the frequency domain. Such methods are quite efficient in terms of computational complexity. Fundamental developments of the proposed method will be discussed in details. Numerical results will demonstrate the accuracy and the efficiency of this two-step indirect method.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.8 pp.2018-2028
- Publication Date
- 2004/08/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
- Category
- Filter Design
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Herng-Jer LEE, Chia-Chi CHU, Wu-Shiung FENG, "Indirect Approach for Designing Low-Order Linear-Phase IIR Filters Using the Rational Arnoldi Method with Adaptive Orders" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 8, pp. 2018-2028, August 2004, doi: .
Abstract: A new indirect approach for designing low-order linear-phase IIR filters is presented in this paper. Given an FIR filter, we utilize a new Krylov subspace projection method, called the rational Arnoldi method with adaptive orders, to synthesize an approximated IIR filter with small orders. The synthesized IIR filter can truly reflect essential dynamical features of the original FIR filter and indeed satisfies the design specifications. Also, from simulation results, it can be observed that the linear-phase property in the passband is stilled retained. This indirect approach is accomplished using the state-space realization of FIR filters, multi-point Pade approximations, the Arnoldi algorithm, and an intelligent scheme to select expansion points in the frequency domain. Such methods are quite efficient in terms of computational complexity. Fundamental developments of the proposed method will be discussed in details. Numerical results will demonstrate the accuracy and the efficiency of this two-step indirect method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_8_2018/_p
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@ARTICLE{e87-a_8_2018,
author={Herng-Jer LEE, Chia-Chi CHU, Wu-Shiung FENG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Indirect Approach for Designing Low-Order Linear-Phase IIR Filters Using the Rational Arnoldi Method with Adaptive Orders},
year={2004},
volume={E87-A},
number={8},
pages={2018-2028},
abstract={A new indirect approach for designing low-order linear-phase IIR filters is presented in this paper. Given an FIR filter, we utilize a new Krylov subspace projection method, called the rational Arnoldi method with adaptive orders, to synthesize an approximated IIR filter with small orders. The synthesized IIR filter can truly reflect essential dynamical features of the original FIR filter and indeed satisfies the design specifications. Also, from simulation results, it can be observed that the linear-phase property in the passband is stilled retained. This indirect approach is accomplished using the state-space realization of FIR filters, multi-point Pade approximations, the Arnoldi algorithm, and an intelligent scheme to select expansion points in the frequency domain. Such methods are quite efficient in terms of computational complexity. Fundamental developments of the proposed method will be discussed in details. Numerical results will demonstrate the accuracy and the efficiency of this two-step indirect method.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - Indirect Approach for Designing Low-Order Linear-Phase IIR Filters Using the Rational Arnoldi Method with Adaptive Orders
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2018
EP - 2028
AU - Herng-Jer LEE
AU - Chia-Chi CHU
AU - Wu-Shiung FENG
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2004
AB - A new indirect approach for designing low-order linear-phase IIR filters is presented in this paper. Given an FIR filter, we utilize a new Krylov subspace projection method, called the rational Arnoldi method with adaptive orders, to synthesize an approximated IIR filter with small orders. The synthesized IIR filter can truly reflect essential dynamical features of the original FIR filter and indeed satisfies the design specifications. Also, from simulation results, it can be observed that the linear-phase property in the passband is stilled retained. This indirect approach is accomplished using the state-space realization of FIR filters, multi-point Pade approximations, the Arnoldi algorithm, and an intelligent scheme to select expansion points in the frequency domain. Such methods are quite efficient in terms of computational complexity. Fundamental developments of the proposed method will be discussed in details. Numerical results will demonstrate the accuracy and the efficiency of this two-step indirect method.
ER -
English
