{"title":"时频分布序列","authors":"S. Qian, Dapang Chen","doi":"10.1109/ICASSP.1994.390098","DOIUrl":null,"url":null,"abstract":"Using the orthogonal-like Gabor (1946) expansion, we decompose the Wigner-Ville (1932, 1948) distribution as a linear combination of localized and oscillated 2D Gaussian functions. Based on the degree of oscillation, we further group those 2D Gaussian functions into time-frequency functions P/sub d/(t,/spl omega/) and thereby obtain the so-called time-frequency distribution series (TFDS). The TFDS/sub D/ consists of up to Dth order P/sub d/(t,/spl omega/). Since the influence of P/sub d/(t,/spl omega/) on those useful properties is inversely proportional to d, by adjusting the order D of the TFDS one could easily balance the cross-term interference and the useful properties.<<ETX>>","PeriodicalId":290798,"journal":{"name":"Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"Time-frequency distribution series\",\"authors\":\"S. Qian, Dapang Chen\",\"doi\":\"10.1109/ICASSP.1994.390098\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the orthogonal-like Gabor (1946) expansion, we decompose the Wigner-Ville (1932, 1948) distribution as a linear combination of localized and oscillated 2D Gaussian functions. Based on the degree of oscillation, we further group those 2D Gaussian functions into time-frequency functions P/sub d/(t,/spl omega/) and thereby obtain the so-called time-frequency distribution series (TFDS). The TFDS/sub D/ consists of up to Dth order P/sub d/(t,/spl omega/). Since the influence of P/sub d/(t,/spl omega/) on those useful properties is inversely proportional to d, by adjusting the order D of the TFDS one could easily balance the cross-term interference and the useful properties.<<ETX>>\",\"PeriodicalId\":290798,\"journal\":{\"name\":\"Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICASSP.1994.390098\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICASSP.1994.390098","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using the orthogonal-like Gabor (1946) expansion, we decompose the Wigner-Ville (1932, 1948) distribution as a linear combination of localized and oscillated 2D Gaussian functions. Based on the degree of oscillation, we further group those 2D Gaussian functions into time-frequency functions P/sub d/(t,/spl omega/) and thereby obtain the so-called time-frequency distribution series (TFDS). The TFDS/sub D/ consists of up to Dth order P/sub d/(t,/spl omega/). Since the influence of P/sub d/(t,/spl omega/) on those useful properties is inversely proportional to d, by adjusting the order D of the TFDS one could easily balance the cross-term interference and the useful properties.<>
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