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 |
| _version_ | 1828875333205491712 |
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| author | Li Shidong |
| author_facet | Li Shidong |
| author_sort | Li Shidong |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-13T07:57:06Z |
| format | Article |
| id | doaj.art-c44f65458eac44ebb3c003fd332e42f8 |
| institution | Directory Open Access Journal |
| issn | 1687-6172 1687-6180 |
| language | English |
| last_indexed | 2024-12-13T07:57:06Z |
| publishDate | 2004-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-c44f65458eac44ebb3c003fd332e42f82022-12-21T23:54:31ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802004-01-01200417846084Proportional Nonuniform Multi-Gabor ExpansionsLi Shidong<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>http://dx.doi.org/10.1155/S1110865704408178nonuniform time-frequency shiftsmulti-Gabor representationstime-frequency analysisframesdual frames |
| spellingShingle | Li Shidong Proportional Nonuniform Multi-Gabor Expansions EURASIP Journal on Advances in Signal Processing nonuniform time-frequency shifts multi-Gabor representations time-frequency analysis frames dual frames |
| title | Proportional Nonuniform Multi-Gabor Expansions |
| title_full | Proportional Nonuniform Multi-Gabor Expansions |
| title_fullStr | Proportional Nonuniform Multi-Gabor Expansions |
| title_full_unstemmed | Proportional Nonuniform Multi-Gabor Expansions |
| title_short | Proportional Nonuniform Multi-Gabor Expansions |
| title_sort | proportional nonuniform multi gabor expansions |
| topic | nonuniform time-frequency shifts multi-Gabor representations time-frequency analysis frames dual frames |
| url | http://dx.doi.org/10.1155/S1110865704408178 |
| work_keys_str_mv | AT lishidong proportionalnonuniformmultigaborexpansions |