Optimal FIR approximate inverse of linear periodic filters

Jwo-Yuh Wu; Ching-An Lin

doi:10.1109/ICASSP.2004.1326190

Optimal FIR approximate inverse of linear periodic filters

Jwo-Yuh Wu^*, Ching-An Lin

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

We propose a method for constructing FIR approximate inverse for discrete-time causal FIR periodic filters in the presence of measurement noise. The objective function to be minimized is the sum of the error variance over one period. The optimization problem is formulated based on the matrix impulse response of the multi-input multi-output (MMO) time-invariant representation of periodic filter as one that minimizes the sum of equation errors of a set of over-determined linear equations. It is shown that the problem is equivalent to a set of least squares problems and a simple closed-form solution is obtained. Numerical examples are used to illustrate the performance of the proposed FIR approximate inverse.

Original language	English
Article number	1326190
Pages (from-to)	45-48
Number of pages	4
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
DOIs	https://doi.org/10.1109/ICASSP.2004.1326190
State	Published - 17 May 2004
Event	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada Duration: 17 May 2004 → 21 May 2004

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abstract = "We propose a method for constructing FIR approximate inverse for discrete-time causal FIR periodic filters in the presence of measurement noise. The objective function to be minimized is the sum of the error variance over one period. The optimization problem is formulated based on the matrix impulse response of the multi-input multi-output (MMO) time-invariant representation of periodic filter as one that minimizes the sum of equation errors of a set of over-determined linear equations. It is shown that the problem is equivalent to a set of least squares problems and a simple closed-form solution is obtained. Numerical examples are used to illustrate the performance of the proposed FIR approximate inverse.",

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AU - Lin, Ching-An

PY - 2004/5/17

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N2 - We propose a method for constructing FIR approximate inverse for discrete-time causal FIR periodic filters in the presence of measurement noise. The objective function to be minimized is the sum of the error variance over one period. The optimization problem is formulated based on the matrix impulse response of the multi-input multi-output (MMO) time-invariant representation of periodic filter as one that minimizes the sum of equation errors of a set of over-determined linear equations. It is shown that the problem is equivalent to a set of least squares problems and a simple closed-form solution is obtained. Numerical examples are used to illustrate the performance of the proposed FIR approximate inverse.

AB - We propose a method for constructing FIR approximate inverse for discrete-time causal FIR periodic filters in the presence of measurement noise. The objective function to be minimized is the sum of the error variance over one period. The optimization problem is formulated based on the matrix impulse response of the multi-input multi-output (MMO) time-invariant representation of periodic filter as one that minimizes the sum of equation errors of a set of over-determined linear equations. It is shown that the problem is equivalent to a set of least squares problems and a simple closed-form solution is obtained. Numerical examples are used to illustrate the performance of the proposed FIR approximate inverse.

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M3 - Conference article

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JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 1326190

T2 - Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing

Y2 - 17 May 2004 through 21 May 2004

ER -

Optimal FIR approximate inverse of linear periodic filters

Abstract

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