컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0304 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | Analysis (real / complex / harmonic analysis) (SS-08) |
| 영문제목 (Title(Eng.)) |
A continuous time-frequency representation via warping |
| 저자(Author(s)) |
Christoph Wiesmeyr1, Nicki Holighaus2, Gino Angelo Velasco3 Numerical Harmonic Analysis Group, Faculty of Mathematics, University of Vienna, Austria1, Acoustics Research Institute, Austrian Academy of Sciences, Vienna, Austria2, Institute of Mathematics, College of Science, University of the Philippines, Diliman, Quezon City Philippines3 |
| 초록본문(Abstract) | In this work we present a generalization of the widely used and well estab- lished short-time Fourier and wavelet transforms. The proposed transform offers time or frequency adaptivity and can produce time-frequency decompositions adapted to a large class of different frequency scales. The construction is based on a system of translates, warped by a coordinate transform. Therefore the time-frequency representation is adapted to the chosen warping. We show that, under certain restrictions on the coordinate transform, the corresponding signal representation is continuous and orthogonality relations similar to Moyal’s formula for the short-time Fourier transform hold. |
| 분류기호 (MSC number(s)) |
42C15, 42C40 |
| 키워드(Keyword(s)) | wavelet, gabor, short-time Fourier transform, time-frequency, adaptivity |
| 강연 형태 (Language of Session (Talk)) |
English |