Proportional Nonuniform Multi-Gabor Expansions
<p/> <p>A nonuniform multi-Gabor expansion (MGE) scheme is studied under proportional time and frequency (TF) shifts among different window indices <inline-formula><graphic file="1687-6180-2004-846084-i1.gif"/></inline-formula>. In particular, TF parameters fo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-01-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1110865704408178 |
| Summary: | <p/> <p>A nonuniform multi-Gabor expansion (MGE) scheme is studied under proportional time and frequency (TF) shifts among different window indices <inline-formula><graphic file="1687-6180-2004-846084-i1.gif"/></inline-formula>. In particular, TF parameters for each <inline-formula><graphic file="1687-6180-2004-846084-i2.gif"/></inline-formula> are different, but proportional and relevant to windows' TF patterns. The generation of synthesis waveforms for nonuniform MGE is generally difficult. We show constructively that there is a set of basic synthesis MGE waveforms at each window index under proportional parameter settings. Nonuniform MGE adapts to signal frequency dynamics effectively, and eliminates unnecessary overlapping redundancies of a uniform MGE. Examples of the evaluation of synthesis waveforms are provided. Efficiency comparison of TF analysis using nonuniform and uniform MGEs is also discussed.</p> |
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| ISSN: | 1687-6172 1687-6180 |