{"title":"A new method for multiple source detection and identification from array data using cumulants and its application to shock waves propagation","authors":"M. Gaeta, C. Nikias","doi":"10.1109/HOST.1993.264560","DOIUrl":"https://doi.org/10.1109/HOST.1993.264560","url":null,"abstract":"The problem of multiple component signal estimation is addressed in both frequency and time domains using higher order statistics. A multiple component signal is defined as a superposition of independent non-Gaussian linear processes. Two algorithms are proposed to estimate the transfer function characteristics of the individual component filters: the first approach is based on an eigen-decomposition of the trispectrum matrix whereas the second on an adaptive inverse filter estimation procedure. It is shown that both techniques have the capability to resolve more input signal components than the number of sensors.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"403 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":"133599701","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":"Triple-correlation direct sequence receiver","authors":"Brian M. Sadler","doi":"10.1109/HOST.1993.264543","DOIUrl":"https://doi.org/10.1109/HOST.1993.264543","url":null,"abstract":"A self-referencing direct sequence spread spectrum receiver is presented which is based on an appropriate single lag of the auto-triple-correlation. The receiver is self-acquiring, in the sense that no local reference code is necessary. The received signal is auto-triple-correlated at a particular lag such that the transmitted code acts as its own reference. The proposed receiver is characterized by a bound on its probability of bit error in additive white Gaussian noise, and compared with a conventional coherent BPSK receiver.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"14 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":"116034694","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":"Higher-order within chaos","authors":"P. Flandrin, O. Michel","doi":"10.1109/HOST.1993.264548","DOIUrl":"https://doi.org/10.1109/HOST.1993.264548","url":null,"abstract":"Although deterministic in nature, some nonlinear systems may give rise to random-like signals. This situation, which is referred to as chaos, offers a new perspective in signal modeling and new challenges in signal analysis. The purpose of the paper is to briefly introduce key concepts related to chaos and to point out how higher-order based approaches may prove useful in the context of chaotic signal analysis.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"26 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":"123785883","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":"Local minimum redundancy representation of a system for estimating the number of its degrees of freedom","authors":"O. Michel, P. Flandrin","doi":"10.1109/HOST.1993.264539","DOIUrl":"https://doi.org/10.1109/HOST.1993.264539","url":null,"abstract":"Fractional dimension estimation is an important tool for characterizing chaotic systems. However it has been shown that a fractional dimension estimate may lead to a misinterpretation of the nature of a system. The authors present some new results on the local intrinsic dimension (LID) approach, based on a local linear minimum redundancy representation of the system, and using higher order statistics (HOS). They recall the formulation of the LID approach, and put forward a new justification of the method for autonomous by ordinary differential equations (ODE) driven systems. They present some qualitative analysis of the LID method, and justify the need of introducing HOS for discriminating stochastic from deterministic processes, via the definition of the number of degrees of freedom (DOF) involved in the system. These ideas are illustrated and discussed through examples.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"25 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":"125093230","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}
K. Kameyama, M. Sakamoto, H. Akagi, K. Jhang, T. Sato
{"title":"Robot vision system using high order correlation analysis","authors":"K. Kameyama, M. Sakamoto, H. Akagi, K. Jhang, T. Sato","doi":"10.1109/HOST.1993.264591","DOIUrl":"https://doi.org/10.1109/HOST.1993.264591","url":null,"abstract":"Object movement detection by high order correlation analysis of optical sensor array signals is introduced. The optical sensors observe the moving object surface which is assumed to be a non-uniform speckle-like texture. The measurement system is applicable to general robotic movement detection because: it employs a noncontact measurement method, the system can be made very compact, and it enables approximation of the movement trace with a sequence of arcs instead of the conventional connection of simple line segments. The authors looked into estimation of the running trace of an autonomous vehicle by observing the ground pattern.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"18 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":"129937087","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":"Multi-channel signal separation based on cross-bispectra","authors":"Daniel Yellin, Ehud Weinstein","doi":"10.1109/HOST.1993.264553","DOIUrl":"https://doi.org/10.1109/HOST.1993.264553","url":null,"abstract":"The authors consider the problem in which they want to separate two (or more) signals that are coupled to each other through an unknown multiple-input-multiple-output linear time invariant system. They prove that the signals can be decoupled, or separated, using only the condition that they are statistically independent, and find even weaker sufficient conditions involving their cross-bispectra. By imposing these conditions on the reconstructed signals, they obtain a criterion for signal separation. A computationally efficient iterative algorithm for solving the proposed criterion, that only involves the iterative solution to a linear least squares problem, is presented.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"33 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":"117160412","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":"Analytic performance evaluation of cumulant-based ARMA system identification methods","authors":"J. Fonollosa, J. Vidal","doi":"10.1109/HOST.1993.264606","DOIUrl":"https://doi.org/10.1109/HOST.1993.264606","url":null,"abstract":"The authors perform an analytic study of some cumulant-based methods for estimating the AR parameters of ARMA processes. The analysis includes new AR identifiability results for pure AR process and the analytic performance evaluation of system identification methods based on cumulants. The authors present examples of pure AR processes that are not identifiable via the normal equations based on the diagonal third-order cumulant slice. The results of the performance evaluation are illustrated graphically with plots of the variance of the estimates as a function of the parameters of the process.<<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":"122933275","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":"Analysis of QAM signals using higher-order spectra-based time-frequency distributions","authors":"J. Fonollosa, C. Nikias","doi":"10.1109/HOST.1993.264556","DOIUrl":"https://doi.org/10.1109/HOST.1993.264556","url":null,"abstract":"Under certain assumptions, simple analytical expressions can be derived for the expected value of bilinear and multilinear time-frequency representations of any quadrature-amplitude modulated communication signal (QAM). The symbol sequence should be i.i.d. and the modulation constellation should have independent and identically distributed real and imaginary parts. Initially, a characterization of QAM modulation schemes using second-order and higher-order moments and spectra-based time-frequency distributions is given. Then this characterization is exploited to derive QAM signal detection schemes. These schemes are tested in low SNR and against narrowband interference.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"2 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":"122667823","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":"Conditions for a correct application of HOS identification algorithms simulation and sampling of third order stationary random processes","authors":"J. Le Roux, D. Rossille","doi":"10.1109/HOST.1993.264604","DOIUrl":"https://doi.org/10.1109/HOST.1993.264604","url":null,"abstract":"The authors propose a method for generating a random sequence that can be interpreted as the sampling of a third order stationary band-limited analog signal corresponding to the hypotheses of Brillinger and Rosenblatt (1967). They emphasise on the difference in the effects of sampling on stationary and nonstationary signals and discuss the condition for a correct application of HOS identification algorithms.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"10 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":"128409088","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 group-theoretic approach to the triple correlation","authors":"R. Kakarala","doi":"10.1109/HOST.1993.264603","DOIUrl":"https://doi.org/10.1109/HOST.1993.264603","url":null,"abstract":"The triple correlation is a useful tool for averaging multiple observations of a signal in noise, in particular when the signal is translating by unknown amounts in between observations. What makes the triple correlation attractive for such a task are three properties: it is invariant under translation of the underlying signal; it is unbiased in additive Gaussian noise; (3) it retains enough phase information to permit recovery of the underlying signal. The author investigates the extent to which all three properties generalize to signals on arbitrary groups. He aims is to develop a theory for averaging observations of signals that are undergoing not just translation, but also rotation, scaling, or any other type of geometric transformation. To that end, he describes the basic theoretical foundations of triple correlation on groups, and also describes several uniqueness results that establish the relationship between two signals on a group that have the same triple correlation.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"27 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":"131155055","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}