| Presentation | 2003/1/9 Time-Frequency Subspace Projection for an Alias-Free Diserete Time-Frequency Analysis Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | 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. We also presents a generalization of Moyal's formula, an inner product preservation law between Wigner distributions and signals, to the discrete distributions. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Time-frequency analysis / coben's class / Discrete time & frequency / Linear time-varying filtering / Moyal's formula |
| Paper # | DSP2002-166,SAT2002-116,RCS2002-235 |
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| Conference Information | |
| Committee | SAT |
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| Conference Date | 2003/1/9(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Satellite Telecommunications (SAT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Time-Frequency Subspace Projection for an Alias-Free Diserete Time-Frequency Analysis |
| Sub Title (in English) | |
| Keyword(1) | Time-frequency analysis |
| Keyword(2) | coben's class |
| Keyword(3) | Discrete time & frequency |
| Keyword(4) | Linear time-varying filtering |
| Keyword(5) | Moyal's formula |
| 1st Author's Name | Hiroshi HASEGAWA |
| 1st Author's Affiliation | Dept. of Communications Integated Systems tokyo Institute of Technology() |
| 2nd Author's Name | Isao YAMADA |
| 2nd Author's Affiliation | Dept. of Communications Integated Systems tokyo Institute of Technology |
| 3rd Author's Name | Kohichi SAKANIWA |
| 3rd Author's Affiliation | Dept. of Communications Integated Systems tokyo Institute of Technology |
| Date | 2003/1/9 |
| Paper # | DSP2002-166,SAT2002-116,RCS2002-235 |
| Volume (vol) | vol.102 |
| Number (no) | 547 |
| Page | pp.pp.- |
| #Pages | 5 |
| Date of Issue | |