{"title":"Blind identification of a linear-quadratic mixture: application to quadratic phase coupling estimation","authors":"M. Krob, M. Benidir","doi":"10.1109/HOST.1993.264537","DOIUrl":"https://doi.org/10.1109/HOST.1993.264537","url":null,"abstract":"The authors perform blind identification of a linear-quadratic mixture of independent and circular random components using the singular value decomposition of a third-order output cumulants matrix. As an application, they propose a new method to obtain degrees of quadratic phase coupling once bifrequencies have been estimated.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"54 73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127097534","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":"Identification of linear systems with noisy input using fourth-order cumulants","authors":"Y. Inouye, Y. Suga","doi":"10.1109/HOST.1993.264607","DOIUrl":"https://doi.org/10.1109/HOST.1993.264607","url":null,"abstract":"An identification method is presented for estimating the parameters of a discrete-time linear dynamic system excited by non-Gaussian input signals using the fourth-order cumulants of the input and output signals, both of which are contaminated by additive Gaussian noise. Two types of estimators of the fourth-order cumulants of the input and output signals are proposed for this method. The first one is conventional. The second one, which is new, only allows the use of a recursive algorithm for computing the parameter estimators. The parameter estimators obtained by this algorithm are shown to be strongly consistent under certain weak conditions.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130984063","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":"On parametrically phase-coupled random harmonic processes","authors":"K. Baugh","doi":"10.1109/HOST.1993.264538","DOIUrl":"https://doi.org/10.1109/HOST.1993.264538","url":null,"abstract":"Presents the concept of a parametrically phase-coupled random harmonic process. It is argued that such processes will be present in the vibration signature of a simple mechanical system, and as such would be of interest in the analysis of vibrations for condition-based maintenance. It is shown that conventional higher-order spectral (HOS) techniques reveal only limited features of parametrically phase-coupled processes and would prove of limited utility in the analysis of such signals. A modified second order cumulant spectrum is then introduced, which has the advantage of revealing all parametric phase relationships in the signal of interest. The results of testing using simulated vibration signals are presented.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122856106","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":"Nonlinear systems and higher-order statistics","authors":"K. Lii","doi":"10.1109/HOST.1993.264608","DOIUrl":"https://doi.org/10.1109/HOST.1993.264608","url":null,"abstract":"The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time stationary process sampled by a random point process. A set of specific nonlinear models is used to demonstrate the use of higher order statistics to discriminate among competing models.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132263343","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":"Applying the symmetry properties of third order cumulants in the identification of non-Gaussian ARMA models","authors":"A. Hashad, C. Therrien","doi":"10.1109/HOST.1993.264588","DOIUrl":"https://doi.org/10.1109/HOST.1993.264588","url":null,"abstract":"The third order cumulant of the output of an ARMA (p,q) model, driven by unobservable non-Gaussian i.i.d. noise, is used to identify the model parameters. The model is assumed to be causal and stable but need not be minimum-phase. The symmetry properties of the third order cumulant are applied to use the cumulant values in the first non-redundant region, where it is proved that the matrices used to solve for the AR parameters are of full rank and have a transpose equivalence that can be used to enhance the efficiency of the estimation process. The estimated AR parameters are then used to estimate the MA order and parameters. The simulation results also show that the AR model order can be estimated from the scattering of the estimated poles in the complex Z-plane.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133550600","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":"Application of ICA to airport surveillance","authors":"É. Chaumette, P. Comon, D. Muller","doi":"10.1109/HOST.1993.264565","DOIUrl":"https://doi.org/10.1109/HOST.1993.264565","url":null,"abstract":"As air traffic gets more and more dense, it becomes very difficult to locate and recognize planes in the neighborhood of civil airports. The technique proposed resorts to a particular device, the monopulse radar, and to a tool called independent component analysis (ICA), in order to separate messages falling in the same radar beam. The algorithms utilized to compute the ICA use second and fourth order cumulants of the observed signals.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133190516","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":"Linear model validation and order selection using higher-order statistics","authors":"Jitendra Tugnait","doi":"10.1109/HOST.1993.264586","DOIUrl":"https://doi.org/10.1109/HOST.1993.264586","url":null,"abstract":"There exist several methods for fitting linear models to linear stationary nonGaussian signals using higher order statistics. The models are fitted under certain assumptions on the data and the underlying (true) model. This paper is devoted to the problem of model validation, i.e., to checking if the fitted linear model is consistent with the underlying basic assumptions. Model order selection is a by-product of the solution. It provides a fairly easy to apply statistical test based upon the asymptotic properties of the bispectrum of the inverse filtered data. Computer simulation results are presented for both linear model validation and model order selection.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122214583","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":"Application of HOS to the analysis of background ELF noise by TSS-1 mission","authors":"G. Tacconi, A. Tiano, L. Minna","doi":"10.1109/HOST.1993.264569","DOIUrl":"https://doi.org/10.1109/HOST.1993.264569","url":null,"abstract":"Within the framework of the Tethered Satellite System (TSS-1) Project (bilateral cooperation between NASA and ASI, the Italian Space Agency) a measurement programme on the electromagnetic background noise has been carried out. From theoretical consideration on the cold plasma theory in the ionosphere, the expected frequency band of these emissions should be from about 1 Hz up to 60 Hz. The paper outlines some recently proposed applications of nonGaussian signal processing techniques based on higher order statistics, which can be usefully applied to ELF (extremely low frequency) electromagnetic noise characterization for detection and parameter estimation purposes.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128502618","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":"Eigensubspace algorithms for estimating the polyspectral parameters of harmonic processes","authors":"H. Parthasarathy, Surendra Prasad","doi":"10.1109/HOST.1993.264549","DOIUrl":"https://doi.org/10.1109/HOST.1993.264549","url":null,"abstract":"The polyspectral parameters of a harmonic process are defined by the locations and strengths of the polyspectral impulses in the higher dimensional frequency space. MUSIC and ESPRIT-like algorithms for extracting these parameters, when the signal is corrupted by coloured Gaussian noise of unknown statistics, are proposed. The MUSIC-like algorithm involves constructing cumulant matrices having Hermitian structures. A one to one correspondence between the locations of the polyspectral peaks and certain 'steering vectors' in the signal subspace of these cumulant matrices is then set up via the Kronecker product map. The construction of the MUSIC pseudo-polyspectrum is based on this correspondence and the orthogonal eigenstructure of the cumulant matrices. The ESPRIT-like algorithms exploit rotational invariance properties of 'shifted cumulant matrices' to extract the polyspectral parameters from their generalized eigenstructure. Apart from determining the locations of the polyspectral peaks from rank reducing numbers of cumulant matrix pencils, the information contained in the generalized eigenvectors is used to extract the strengths of the polyspectral impulses.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130817596","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":"Comparison of different order cumulants in a speech enhancement system by adaptive Wiener filtering","authors":"J. M. Salavedra, E. Masgrau, A. Moreno, X. Jove","doi":"10.1109/HOST.1993.264596","DOIUrl":"https://doi.org/10.1109/HOST.1993.264596","url":null,"abstract":"The authors study some speech enhancement algorithms based on the iterative Wiener filtering method due to Lim and Oppenheim (1978), where the AR spectral estimation of the speech is carried out using a second-order analysis. But in their algorithms the authors consider an AR estimation by means of a cumulant (third- and fourth-order) analysis. The authors provide a behavior comparison between the cumulant algorithms and the classical autocorrelation one. Some results are presented considering the noise (additive white Gaussian noises) that allows the best improvement and those noises (diesel engine and reactor noise) that leads to the worst one. And exhaustive empirical test shows that cumulant algorithms outperform the original autocorrelation algorithm, specially at low SNR.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130875051","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}