Implementation of the Notch Filters Using Subband Decomposition

Yung-Yi WANG; Ying LU

doi:10.1093/ietfec/e90-a.6.1224

Implementation of the Notch Filters Using Subband Decomposition

Yung-Yi WANG, Ying LU

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The design of the finite impulse response (FIR) notch filter with controlled null width is expressed as a derivatively contrained quadratic optimization problem. The problem is transformed into an unconstrained one by choosing a null matrix orthogonal to the derivative constraint matrix. In this paper, subband decomposition using wavelet filters is employed to construct the null matrix. Taking advantage of the vanishing moment property of the wavelet filters, the proposed method can adjust the null width of the notch filter for eliminating the intractable iterference by controlling the regularity of the wavelet filters. Simulation results show that the new method can offer comparable performance as those of the existing full-rank-based ones and thus provides a promising alternative to the existing works.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.6 pp.1224-1227

Publication Date: 2007/06/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e90-a.6.1224

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Yung-Yi WANG, Ying LU, "Implementation of the Notch Filters Using Subband Decomposition" in IEICE TRANSACTIONS on Fundamentals, vol. E90-A, no. 6, pp. 1224-1227, June 2007, doi: 10.1093/ietfec/e90-a.6.1224.
Abstract: The design of the finite impulse response (FIR) notch filter with controlled null width is expressed as a derivatively contrained quadratic optimization problem. The problem is transformed into an unconstrained one by choosing a null matrix orthogonal to the derivative constraint matrix. In this paper, subband decomposition using wavelet filters is employed to construct the null matrix. Taking advantage of the vanishing moment property of the wavelet filters, the proposed method can adjust the null width of the notch filter for eliminating the intractable iterference by controlling the regularity of the wavelet filters. Simulation results show that the new method can offer comparable performance as those of the existing full-rank-based ones and thus provides a promising alternative to the existing works.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.6.1224/_p

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@ARTICLE{e90-a_6_1224,
author={Yung-Yi WANG, Ying LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Implementation of the Notch Filters Using Subband Decomposition},
year={2007},
volume={E90-A},
number={6},
pages={1224-1227},
abstract={The design of the finite impulse response (FIR) notch filter with controlled null width is expressed as a derivatively contrained quadratic optimization problem. The problem is transformed into an unconstrained one by choosing a null matrix orthogonal to the derivative constraint matrix. In this paper, subband decomposition using wavelet filters is employed to construct the null matrix. Taking advantage of the vanishing moment property of the wavelet filters, the proposed method can adjust the null width of the notch filter for eliminating the intractable iterference by controlling the regularity of the wavelet filters. Simulation results show that the new method can offer comparable performance as those of the existing full-rank-based ones and thus provides a promising alternative to the existing works.},
keywords={},
doi={10.1093/ietfec/e90-a.6.1224},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - Implementation of the Notch Filters Using Subband Decomposition
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1224
EP - 1227
AU - Yung-Yi WANG
AU - Ying LU
PY - 2007
DO - 10.1093/ietfec/e90-a.6.1224
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2007
AB - The design of the finite impulse response (FIR) notch filter with controlled null width is expressed as a derivatively contrained quadratic optimization problem. The problem is transformed into an unconstrained one by choosing a null matrix orthogonal to the derivative constraint matrix. In this paper, subband decomposition using wavelet filters is employed to construct the null matrix. Taking advantage of the vanishing moment property of the wavelet filters, the proposed method can adjust the null width of the notch filter for eliminating the intractable iterference by controlling the regularity of the wavelet filters. Simulation results show that the new method can offer comparable performance as those of the existing full-rank-based ones and thus provides a promising alternative to the existing works.
ER -