IEICE TRANSACTIONS on Fundamentals
Discrete Time-Frequency Projection Filtering Based on an Alias-Free Discrete Time-Frequency Analysis
Summary :
In this paper, we propose a method of linear time-varying filtering of discrete time signals. The objective of this method is to derive a component, of an input signal, whose alias-free generalized discrete time-frequency distribution [Jeong & Williams 1992] concentrates on a specific region of a time-frequency plane. The method is essentially realized by computing an orthogonal projection of an input onto a subspace that is spanned by orthonormal signals, whose distributions concentrate on the region. We show that such orthonormal signals can be derived as eigenvectors of a matrix whose components are explicitly expressed by using the kernel of the distribution and the regions. This result shows that we can design such a filter prior to processing of the input if the specific region is given as a priori. This result is a generalization of [Hlawatsch & Kozek 1994], that is originally derived for the continuous Wigner distributions, to the discrete distributions.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.6 pp.1537-1545
- Publication Date
- 2004/06/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, "Discrete Time-Frequency Projection Filtering Based on an Alias-Free Discrete Time-Frequency Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 6, pp. 1537-1545, June 2004, doi: .
Abstract: In this paper, we propose a method of linear time-varying filtering of discrete time signals. The objective of this method is to derive a component, of an input signal, whose alias-free generalized discrete time-frequency distribution [Jeong & Williams 1992] concentrates on a specific region of a time-frequency plane. The method is essentially realized by computing an orthogonal projection of an input onto a subspace that is spanned by orthonormal signals, whose distributions concentrate on the region. We show that such orthonormal signals can be derived as eigenvectors of a matrix whose components are explicitly expressed by using the kernel of the distribution and the regions. This result shows that we can design such a filter prior to processing of the input if the specific region is given as a priori. This result is a generalization of [Hlawatsch & Kozek 1994], that is originally derived for the continuous Wigner distributions, to the discrete distributions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_6_1537/_p
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@ARTICLE{e87-a_6_1537,
author={Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Discrete Time-Frequency Projection Filtering Based on an Alias-Free Discrete Time-Frequency Analysis},
year={2004},
volume={E87-A},
number={6},
pages={1537-1545},
abstract={In this paper, we propose a method of linear time-varying filtering of discrete time signals. The objective of this method is to derive a component, of an input signal, whose alias-free generalized discrete time-frequency distribution [Jeong & Williams 1992] concentrates on a specific region of a time-frequency plane. The method is essentially realized by computing an orthogonal projection of an input onto a subspace that is spanned by orthonormal signals, whose distributions concentrate on the region. We show that such orthonormal signals can be derived as eigenvectors of a matrix whose components are explicitly expressed by using the kernel of the distribution and the regions. This result shows that we can design such a filter prior to processing of the input if the specific region is given as a priori. This result is a generalization of [Hlawatsch & Kozek 1994], that is originally derived for the continuous Wigner distributions, to the discrete distributions.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - Discrete Time-Frequency Projection Filtering Based on an Alias-Free Discrete Time-Frequency Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1537
EP - 1545
AU - Hiroshi HASEGAWA
AU - Isao YAMADA
AU - Kohichi SAKANIWA
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2004
AB - In this paper, we propose a method of linear time-varying filtering of discrete time signals. The objective of this method is to derive a component, of an input signal, whose alias-free generalized discrete time-frequency distribution [Jeong & Williams 1992] concentrates on a specific region of a time-frequency plane. The method is essentially realized by computing an orthogonal projection of an input onto a subspace that is spanned by orthonormal signals, whose distributions concentrate on the region. We show that such orthonormal signals can be derived as eigenvectors of a matrix whose components are explicitly expressed by using the kernel of the distribution and the regions. This result shows that we can design such a filter prior to processing of the input if the specific region is given as a priori. This result is a generalization of [Hlawatsch & Kozek 1994], that is originally derived for the continuous Wigner distributions, to the discrete distributions.
ER -
English
