Positive time-frequency distributions based on joint marginal constraints
This correspondence studies the formulation of members of the Cohen-Posch class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. It is concluded that, in general, the...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1996 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1556 |
| Acceso en línea: | https://hdl.handle.net/2117/1556 |
| Access Level: | acceso abierto |
| Palabra clave: | Signal processing Mathematical analysis Information theory Cohen-Posch distributions Cross-entropy measures minimization Direction invariance criterion Fractional Fourier transform Frequency marginals Joint marginal constraints Maximum entropy methods Minimisation Positive time-frequency energy distributions Signal representation Spectral analysis Spectrogram Statistical analysis Time-frequency analysis Time-frequency plane Time marginals Processament del senyal Anàlisi matemàtica Teoria de la informació Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal |
| Sumario: | This correspondence studies the formulation of members of the Cohen-Posch class of positive time-frequency energy distributions. Minimization of cross-entropy measures with respect to different priors and the case of no prior or maximum entropy were considered. It is concluded that, in general, the information provided by the classical marginal constraints is very limited, and thus, the final distribution heavily depends on the prior distribution. To overcome this limitation, joint time and frequency marginals are derived based on a "direction invariance" criterion on the time-frequency plane that are directly related to the fractional Fourier transform. |
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