A method for optimizing the ambiguity function concentration
| Autor: | Feichtinger, H. G., Darian Onchis M., Ricaud, B., Torrésani, B., Wiesmeyr, C. |
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| Přispěvatelé: | Numerical Harmonic Analysis Group, Faculty of Mathematics (NuHAG), Universität Wien, Laboratoire d'Analyse, Topologie, Probabilités (LATP), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Torrésani, Bruno |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT]
[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing time-frequency localization [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] iterative diagonalization [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT] [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT] STFT multiplier [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing ambiguity function [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing |
| Zdroj: | Proceedings of EUSIPCO 2012 EUSIPCO 2012, European Signal Processing Conference EUSIPCO 2012, European Signal Processing Conference, Aug 2012, Bucarest, Romania. pp.804-808 Scopus-Elsevier |
| Popis: | International audience; In the context of signal analysis and transformation in the time-frequency (TF) domain, controlling the shape of a waveform in this domain is an important issue. Depending on the application, a notion of optimal function may be defined through the properties of the ambiguity function. We present an iterative method for providing such optimal functions under a general concentration constraint of the ambiguity function. At each iteration, it follows a variational approach which maximizes the ambiguity localization via a user-defined weight function F . Under certain assumptions on this latter function, it converges to a waveform which is optimal according to the localization criterion defined by F . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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