Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics

21-23 July 1997

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  • Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics

    Publication Year: 1997
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    Freely Available from IEEE
  • Author index

    Publication Year: 1997, Page(s):469 - 471
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    Freely Available from IEEE
  • Linear algebraic approaches for (almost) periodic moving average system identification

    Publication Year: 1997, Page(s):112 - 116
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (340 KB)

    This paper addresses the problem of (almost) periodic moving average (APMA) system identification. Two normal equations are established by using time varying higher order cumulants of the measurements, from which two new linear algebraic algorithms are presented for parameter estimation. Simulation examples are given to demonstrate the performance of these new approaches View full abstract»

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  • Minimum entropy approach for multisensor data fusion

    Publication Year: 1997, Page(s):336 - 339
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (268 KB)

    In this paper, we present a minimum entropy fusion approach for multisensor data fusion in non-Gaussian environments. We represent the fused data in the form of the weighted sum of the multisensor outputs and use the varimax norm as the information measure. The optimum weights are obtained by maximizing the varimax norm of the fused data. The minimum entropy fusion solution only depends on the emp... View full abstract»

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  • Deblurring two-tone images by a joint estimation approach using higher-order statistics

    Publication Year: 1997, Page(s):108 - 111
    Cited by:  Papers (5)  |  Patents (4)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (332 KB)

    A method is proposed for the restoration of linearly blurred two-tone images without requiring the knowledge of the blur parameters. The method jointly estimates the original image and the blur parameters based on some statistical parameters at the output of an inverse filter. Unlike some other blind image restoration procedures, the proposed method does not require the estimation or modeling of t... View full abstract»

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  • Identifiability of the superimposed signals using third-order cumulants

    Publication Year: 1997, Page(s):331 - 335
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (304 KB)

    The paper deals with the variance analysis estimating the third-order cumulant of the MA system output signal which was excited with Bernoulli distributed white noise on the input. These scheme was used to simulate the superimposed systems, or signals, which often arise in the practical approaches (EMG signal decomposition). The equations were derived which show dependencies of the variances of th... View full abstract»

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  • Texture classification using third order correlation tools

    Publication Year: 1997, Page(s):171 - 175
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (368 KB)

    This study presents a new method for textures classification based on higher order statistics (HOS). We propose the use of third order correlation tools for texture analysis. We compare the performance of three different tools: the bicorrelation in the spatial domain, the bispectrum in the frequency domain and the bicorspectrum which is a spatial/frequency representation in that case. We test clas... View full abstract»

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  • Exploring lag diversity in the high-order ambiguity function for polynomial phase signals

    Publication Year: 1997, Page(s):103 - 106
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (300 KB)

    High-order ambiguity function (HAF) is an effective tool for retrieving coefficients of polynomial phase signals (PPS). The lag choice is dictated by conflicting requirements: a large lag improves estimation accuracy but drastically limits the range of the parameters that can be estimated. By using two (large) co-prime lags and solving linear Diophantine equations using the Euclidean algorithm, we... View full abstract»

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  • Classification of linear modulations by a combination of different orders cyclic cumulants

    Publication Year: 1997, Page(s):47 - 51
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (340 KB)

    The search for discriminating features is a crucial point when a modulation classification task is aimed. This paper introduces new features based on a combination of fourth- and second-order temporal cyclic cumulants. Such a combination enhances the theoretical discrimination that can be achieved by a single stationary cumulant, and moreover, the cyclic parameters become discriminating whereas it... View full abstract»

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  • Blind separation of convolutive mixtures: a Gauss-Newton algorithm

    Publication Year: 1997, Page(s):326 - 330
    Cited by:  Papers (1)  |  Patents (6)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (416 KB)

    This paper addresses the blind separation of convolutive mixtures of independent and non-Gaussian sources. We present a block-based Gauss-Newton algorithm which is able to obtain a separation solution using only a specific set of output cross-cumulants and the hypothesis of soft mixtures. The order of the cross-cumulants is chosen to obtain a particular form of the Jacobian matrix that ensures con... View full abstract»

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  • Stochastic resonance in a discrete time nonlinear SETAR (1,2,0,0) model

    Publication Year: 1997, Page(s):166 - 170
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (304 KB)

    We present in this paper the stochastic resonance phenomenon in a discrete time context. Indeed, stochastic resonance has been commonly investigated in continuous-time. Analytical results given by a simple bistable nonlinear SETAR (1,2,0,0) are studied. Then, the ability of such a system to be used in signal processing is discussed View full abstract»

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  • Higher-order statistics and extreme waves

    Publication Year: 1997, Page(s):98 - 102
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (412 KB)

    A sparse second-order time-domain Volterra model is used to decompose a random (sea) wave train into its first- and second-order components. Extreme waves are shown to result from short-term phase locking of the first- and second-order components. The feasibility of using a wavelet-based bicoherence “spectrum” to detect the strong, but short lived, phase coupling is investigated. The r... View full abstract»

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  • Discrimination of local seismic events in Panama by means of higher order statistics

    Publication Year: 1997, Page(s):14 - 19
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (380 KB)

    The analysis of seismicity need to be restricted to earthquakes. The estimated seismic energy release and the spatial distribution of seismic events will be erroneous and biased if the data catalogue includes artificial events such as explosions. Therefore, it is necessary to separate earthquakes and explosions prior to the compilation of the seismicity in a particular region. In the canal area of... View full abstract»

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  • Behaviour of higher order blind source separation methods in the presence of cyclostationary correlated multipaths

    Publication Year: 1997, Page(s):363 - 367
    Cited by:  Papers (2)  |  Patents (5)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (472 KB)

    Over the last decade, higher order (HO) methods have been strongly developed in particular to blindly separate instantaneous mixtures of statistically independent stationary sources. However, in many situations of practical interest, the received sources are (quasi)-cyclostationary (digital radiocommunications) and are not always statistically independent but may be correlated to each other, which... View full abstract»

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  • Higher order statistics for detection and classification of faulty fanbelts using acoustical analysis

    Publication Year: 1997, Page(s):43 - 46
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (340 KB)

    Higher order statistics (HOS) are well suited to solving detection and classification problems because they can suppress gaussian noise and preserve some of the non-gaussian information. This paper describes the use of these methods for acoustic quality control of manufactured goods on a production line, and specifically the detection of faulty fanbelts on the drying block of a washing machine. Tw... View full abstract»

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  • Non-causal ARMA model identification by maximizing the kurtosis

    Publication Year: 1997, Page(s):234 - 238
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (340 KB)

    The problem of estimating the parameters of a noncausal ARMA system, driven by an unobservable input noise is addressed. We propose a method based on a generalized version of the prediction error minimum variance approach and on the maximum kurtosis properties. Firstly, a spectrally equivalent (SE) model is identified with the generalized minimum variance approach. Secondly, the kurtosis allows us... View full abstract»

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  • Blind source separation with noisy sources

    Publication Year: 1997, Page(s):321 - 325
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (444 KB)

    A new method of source separation with noisy observations is proposed in the case of two sensors. Each observation contains a mixture of two signals with noise. The objective is to estimate the frequency spectra of the linear filters that combine the two signals in the data stream. The main characteristic of the method is to take into account additive noises. No hypotheses on their probability den... View full abstract»

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  • Performance analysis of Volterra kernel estimators with Gaussian inputs

    Publication Year: 1997, Page(s):162 - 165
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (256 KB)

    The focus of this paper is on Volterra nonlinear system identification from input-output data. When the system is linear-quadratic and the input is Gaussian, closed-form expressions for the kernels were derived by Tick (1961) based on input-output cross-cumulants. However, there have been no known variance expressions for the kernel estimates. In this paper, we analyze the performance of the first... View full abstract»

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  • Playing with long range dependence and HOS

    Publication Year: 1997, Page(s):453 - 457
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (388 KB)

    In this paper, we consider some independent problems concerning HOS and nonGaussian long range dependent processes. We exhibit HOS for non integer FARIMA processes, showing that singularities may occur in multispectrum. A class of nonGaussian processes constructed by a multiplicative process on the dyadic tree is then considered. Finally, long range dependence problems in the Fourier transform are... View full abstract»

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  • Hybrid FM-polynomial phase signal modeling: parameter estimation and performance analysis

    Publication Year: 1997, Page(s):93 - 97
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (456 KB)

    Parameter estimation for a combination of a polynomial phase signal (PPS) and a frequency modulated (FM) signal is addressed. A novel approach is proposed that allows one to decouple estimation of the FM parameters from that of the PPS parameters, exploiting the properties of the multi-lag high-order ambiguity function (ml-HAF). Performance analysis is carried out and Cramer-Rao bounds are compare... View full abstract»

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  • Multipath time delay estimation using higher order statistics

    Publication Year: 1997, Page(s):9 - 13
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (312 KB)

    This paper addresses the problem of time delay estimation (TDE) in spatially correlated noises. Two cases are considered: (i) TDE of non-Gaussian signal in spatially correlated Gaussian noises; and (ii) TDE of Gaussian signal in spatially correlated non-Gaussian noises. For the first case, a new approach based upon the use of higher order statistics of the measurements is proposed; for the second ... View full abstract»

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  • Computational savings using nonlinear statistics in DOA estimation

    Publication Year: 1997, Page(s):359 - 362
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (328 KB)

    The computational aspects related to sample estimation of moments involving certain “piecewise” nonlinearities are addressed with application to DOA estimation. In particular, the accuracy vs. computational saving tradeoff associated to “soft-limiting” nonlinearities can be exploited to simplify the computation of sample covariances without resulting in significative accura... View full abstract»

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  • Higher-order statistics for tissue characterization from ultrasound images

    Publication Year: 1997, Page(s):72 - 76
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (416 KB)

    We model tissue as a collection of point scatterers embedded in a uniform media, and show that the higher order statistics (HOS) of the scatterer spacing distribution can be estimated from digitized RF scan line segments and be used in obtaining tissue signatures. Based on our model for tissue microstructure, we estimate resolvable periodicity and correlations among non-periodic scatterers. Using ... View full abstract»

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  • The application of non-linear Volterra type filters to television images

    Publication Year: 1997, Page(s):39 - 42
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (492 KB)

    Linear filter theory based on Wiener filtering is well understood and used widely in many fields of image and signal processing. However, the use of linear filters is generally associated with implicit approximations. Therefore, in this work a series of non-linear filters is developed based on the concepts of Volterra series and these are applied to image interpolation problems. More explicitly th... View full abstract»

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  • Blind system identification in an impulsive environment

    Publication Year: 1997, Page(s):229 - 233
    Request permission for commercial reuse | Click to expandAbstract |PDF file iconPDF (292 KB)

    A method is presented for blind system identification in an impulsive environment, where the system output is described by a symmetric α-stable (SαS) law. The method employs either the phase or the magnitude of the recently proposed α-spectrum of the system output. It is much simpler than the method proposed previously which also relies on the phase or magnitude of the α-sp... View full abstract»

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