R. Gribonval, Emmanuel Bacry, Stéphane Mallat, P. Depalle, Xavier Rodet
{"title":"Analysis of sound signals with high resolution matching pursuit","authors":"R. Gribonval, Emmanuel Bacry, Stéphane Mallat, P. Depalle, Xavier Rodet","doi":"10.1109/TFSA.1996.546702","DOIUrl":"https://doi.org/10.1109/TFSA.1996.546702","url":null,"abstract":"Sound recordings include transients and sustained parts. Their analysis with a basis expansion is not rich enough to represent efficiently all such components. Pursuit algorithms choose the decomposition vectors depending upon the signal properties. The dictionary among which these vectors are selected is much larger than a basis. Matching pursuit is fast to compute, but can provide coarse representations. Basis pursuit gives a better representation but is very expensive in terms of calculation time. This paper develops a high resolution matching pursuit: it is a fast, high time-resolution, time-frequency analysis algorithm, that makes it likely to be used far musical applications.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127089356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tracking of frequency in a time-frequency representation","authors":"W. Roguet, N. Martin, A. Chéhikian","doi":"10.1109/TFSA.1996.547483","DOIUrl":"https://doi.org/10.1109/TFSA.1996.547483","url":null,"abstract":"For non-stationary signals, the evolution of frequency characteristics with time may bring useful information to approach the underlying physical process. Time-frequency representations may facilitate such an interpretation. Here, we consider a representation obtained by the ARCAP method, which is adapted to narrow band signals. At the end of the analysis, at each sampling date, the signal is characterized by a set of two component vectors: a characteristic frequency and the signal power at that frequency. The problem is to track automatically these sparse points to obtain the evolution along time for each modulation. The originality of the proposed method is to track the points of the ARCAP representation thanks to a Kalman filter, based on a frequency modulation model. After a brief presentation of the theoretical methods, we show the results obtained on various signals.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131543012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Directional image compression with brushlets","authors":"François G. Meyer, R. Coifman","doi":"10.1109/TFSA.1996.547213","DOIUrl":"https://doi.org/10.1109/TFSA.1996.547213","url":null,"abstract":"We construct a new adaptive basis that provide precise frequency localization and good spatial localization. We develop a compression algorithm that exploits this basis to obtain the most economical representation of the image in terms of textured patterns with different orientations, frequencies, sizes, and positions. The technique directly works in the Fourier domain and has potential applications for highly textured images.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"29 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132537590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A prospective way for nonlinear blind deconvolution and deblurring","authors":"J. Le Caillec, R. Garello","doi":"10.1109/TFSA.1996.550069","DOIUrl":"https://doi.org/10.1109/TFSA.1996.550069","url":null,"abstract":"Blind deconvolution became an important field of interest for higher order moments application during the two last decades due to the capacity of these moments to reconstruct mixed phase systems. On the other hand, nonlinear systems detection and identification have been also studied with methods using polyspectra. We present in this paper a method to restore white or unskewed data sequences passing through a nonlinear system based on a set of mixed higher order moments equations.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131953404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Overcomplete expansions and robustness","authors":"Zoran Cvetkovic, Martin Vetterli","doi":"10.1109/TFSA.1996.547479","DOIUrl":"https://doi.org/10.1109/TFSA.1996.547479","url":null,"abstract":"The motivation for the development of the theory of time-frequency and time-scale expansions towards wavelet and Weyl-Heisenberg frames stems mainly from the design freedom which is usually attained with overcomplete expansions. Also, it has been observed that for a given accuracy of representation overcomplete expansions allow for a progressively coarser quantization provided that the redundancy is increased. Increased robustness of overcomplete expansions compared to nonredundant ones is manifested for two primary sources of degradation, white additive noise and quantization. Reconstruction from expansion coefficients adulterated by an additive noise reduces the noise effect by a factor proportional to the expansion redundancy. We conjecture that the effect of the quantization error can be reduced inversely to the square of the expansion redundancy and prove that result in two particular cases, Weyl-Heisenberg expansions and oversampled A/D conversion.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115861091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Automatic feature-finding for time-frequency distributions","authors":"L. Atlas, L. Owsley, J. McLaughlin, G. Bernard","doi":"10.1109/TFSA.1996.547481","DOIUrl":"https://doi.org/10.1109/TFSA.1996.547481","url":null,"abstract":"Given the detailed time and frequency resolution of time-frequency distributions, trainable automatic classifiers can easily be overwhelmed by the complexity of this input representation. This problem becomes even more severe as more advanced and higher resolution time-frequency distributions come into use. Our research is directed to making a better match to automatic classification by automatically finding a set of lower-dimensionality features within time-frequency distributions. We show the efficacy and generality of this approach to a wide variety of time-frequency distributions. A connection is also made to hidden Markov model-based classification and a comparative study is shown for this type of classifier for conventional and more advanced proper time-frequency distributions. We conclude that, when used within the context of hidden Markov model-based classification, the proper time-frequency distribution offers the best ability to reserve classes representing changes in constituents of short acoustic transients. We have developed a vector quantization technique which is a modified version of Kohonen's (1990) self-organizing feature map and then applied it to conventional time-frequency representations (the magnitude of the short-time Fourier transform), more advanced time-frequency representations (the minimum cross-entropy (MCE) proper and positive distribution), and to a proper-distribution derived measure.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"189 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116010919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Wavelet transform analysis of the seismocardiogram","authors":"W. Xu, W. Sandham, A. Fisher, M. Conway","doi":"10.1109/TFSA.1996.550097","DOIUrl":"https://doi.org/10.1109/TFSA.1996.550097","url":null,"abstract":"Seismocardiography is a new, non-invasive technique developed for recording and analyzing cardiac vibratory activity. Recent studies of seismocardiograms (SCGs) have demonstrated that they are a potential technique for detecting coronary artery disease. In this paper, wavelet analysis, based on multiresolution signal decomposition, has been used to investigate the effects of physiological conditions (isometric exercise and hyperventilation) on the SCG in different frequency sub-bands, with respect to the rest SCG. The power of the SCGs was calculated in seven frequency sub-bands. Significant differences between rest SCG, isometric SCG and hyperventilation SCG, were found in various sub-bands. The wavelet transform enabled distinctions to be made between SCGs for different physiological conditions, and showed it to be a promising analysis tool in the field of SCG analysis.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116288069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Detection and estimation of multiplicative jumps using the continuous wavelet transform","authors":"M. Chabert, J. Tourneret, F. Castanie","doi":"10.1109/TFSA.1996.547463","DOIUrl":"https://doi.org/10.1109/TFSA.1996.547463","url":null,"abstract":"This paper addresses the problem of multiplicative jump detection and estimation in the time-scale plane. The signature is derived for a multiplicative jump in the time-scale plane. The signature allows the study of two wavelet based detectors. The first detector computes the continuous wavelet transform (CWT) correlation with 2D signature. The second detector sums fixed scale slices of the CWT. For comparison purpose, the optimal Neyman-Pearson detector (NPD) is then derived. The NPD requires a priori knowledge of the jump and signal parameters. A sub-optimal detector is presented which replaces these parameters by appropriate estimates. The performance of this detector is studied.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121401810","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time-frequency tilings which best expose the non-Gaussian behavior of a stochastic process","authors":"J. B. Buckheit, D. Donoho","doi":"10.1109/TFSA.1996.546671","DOIUrl":"https://doi.org/10.1109/TFSA.1996.546671","url":null,"abstract":"We develop a new representation of non-Gaussian stochastic processes. We search a library of orthogonal bases for the basis in which the process looks the least Gaussian. When the library is a library of time-frequency atoms this has the interpretation given in the title. We give examples showing that the new representation can be more satisfactory than the classical Karhunen-Loeve expansion.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128385707","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Shamsollahi, L. Senhadji, R. Le Bouquin-Jeannes
{"title":"Detection and localization of complex SEEG patterns in epileptic seizures using time-frequency analysis","authors":"M. Shamsollahi, L. Senhadji, R. Le Bouquin-Jeannes","doi":"10.1109/TFSA.1996.546697","DOIUrl":"https://doi.org/10.1109/TFSA.1996.546697","url":null,"abstract":"The authors applied signal detection techniques based on time-frequency signal analysis on depth EEG recordings in order to detect and to localize some patterns in the time-frequency plane. This paper deals with a particular pattern representing a discharge activity in the ictal phase. Beside the detection techniques using fixed-kernel Time-Frequency Representation (Auto TFR and Cross TFR) presented here, a new technique using Signal-Dependent TFR is proposed and a comparison of results is given.","PeriodicalId":415923,"journal":{"name":"Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1996-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126374127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}