A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis
Summary :
In this paper, we propose a novel higher order time-frequency distribution (GDH) for a discrete time signal. This distribution is defined over the original discrete time-frequency grids through a delicate discretization of an equivalent expression of a higher order distribution, for a continuous time signal, in [4]. We also present a constructive design method, for the kernel of the GDH, by which the distribution satisfies (i) the alias free condition as well as (ii) the marginal conditions. Numerical examples show that the proposed distributions reasonably suppress the artifacts which are observed severely in the Wigner distribution and its simple higher order generalization.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.8 pp.1774-1780
- Publication Date
- 2002/08/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
- Category
- Theory of Signals
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Hiroshi HASEGAWA, Yasuhiro MIKI, Isao YAMADA, Kohichi SAKANIWA, "A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 8, pp. 1774-1780, August 2002, doi: .
Abstract: In this paper, we propose a novel higher order time-frequency distribution (GDH) for a discrete time signal. This distribution is defined over the original discrete time-frequency grids through a delicate discretization of an equivalent expression of a higher order distribution, for a continuous time signal, in [4]. We also present a constructive design method, for the kernel of the GDH, by which the distribution satisfies (i) the alias free condition as well as (ii) the marginal conditions. Numerical examples show that the proposed distributions reasonably suppress the artifacts which are observed severely in the Wigner distribution and its simple higher order generalization.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_8_1774/_p
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@ARTICLE{e85-a_8_1774,
author={Hiroshi HASEGAWA, Yasuhiro MIKI, Isao YAMADA, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis},
year={2002},
volume={E85-A},
number={8},
pages={1774-1780},
abstract={In this paper, we propose a novel higher order time-frequency distribution (GDH) for a discrete time signal. This distribution is defined over the original discrete time-frequency grids through a delicate discretization of an equivalent expression of a higher order distribution, for a continuous time signal, in [4]. We also present a constructive design method, for the kernel of the GDH, by which the distribution satisfies (i) the alias free condition as well as (ii) the marginal conditions. Numerical examples show that the proposed distributions reasonably suppress the artifacts which are observed severely in the Wigner distribution and its simple higher order generalization.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1774
EP - 1780
AU - Hiroshi HASEGAWA
AU - Yasuhiro MIKI
AU - Isao YAMADA
AU - Kohichi SAKANIWA
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2002
AB - In this paper, we propose a novel higher order time-frequency distribution (GDH) for a discrete time signal. This distribution is defined over the original discrete time-frequency grids through a delicate discretization of an equivalent expression of a higher order distribution, for a continuous time signal, in [4]. We also present a constructive design method, for the kernel of the GDH, by which the distribution satisfies (i) the alias free condition as well as (ii) the marginal conditions. Numerical examples show that the proposed distributions reasonably suppress the artifacts which are observed severely in the Wigner distribution and its simple higher order generalization.
ER -
English
