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Higher-Order Statistics, 1997., Proceedings of the IEEE Signal Processing Workshop on

Date 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
  • Covariance of finite-sample cumulants in array-processing

    Publication Year: 1997, Page(s):306 - 310
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (456 KB)

    In this paper we provide explicit formulas for the covariances of second-third-, and fourth-order sample cumulants as used in narrowband array processing. These covariances provide a basis for analysing the performance of cumulant based algorithms for finite-sample length, which is in contrast to usual asymptotic performance analyses. The use of these formulas, which consist of several thousand te... View full abstract»

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  • Identification of multivariable stochastic linear systems using integrated polyspectrum given noisy input-output data

    Publication Year: 1997, Page(s):239 - 243
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    The problem considered is that of identification of unknown parameters of multivariable, linear “errors-in-variables” models, i.e., linear systems where measurements of both input and output of the system are noise contaminated. Attention is focused on frequency-domain approaches where the integrated polyspectrum (bispectrum or trispectrum) of the input and the integrated cross-polyspe... View full abstract»

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  • DOA estimation using blind separation of sources

    Publication Year: 1997, Page(s):311 - 315
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    We propose a new approach for the estimation of DOA for polarized EM waves using blind separation of sources. In this approach we use a vector-sensor, a sensor whose output is a complete set of the EM field components of the irradiating wave and we reconstruct the waveforms of all the original signals; that is, all the EM components of the source's field. The blind separation of sources is made it... 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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  • Blind system identification using fourth order spectral analysis of complex signals

    Publication Year: 1997, Page(s):189 - 193
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (392 KB)

    In this paper we give an analytic optimal solution to the identification problem of non minimum phase systems using the fourth order spectra. We show that this solution is in first approximation equivalent to the solution given by the well-known kurtosis maximization method. The proposed solution gives the phase of the system transfer function, the modulus can be obtained from the second order sta... View full abstract»

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  • Comparison between asymmetric generalized Gaussian (AGG) and symmetric-α-stable (SαS) noise models for signal estimation in non Gaussian environments

    Publication Year: 1997, Page(s):259 - 263
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (464 KB)

    This paper focuses on the problem of multilevel digital signal estimation in the presence of generic noise in a communication system. Noise is assumed unimodal, independent identically distributed, generically non Gaussian, that is eventually asymmetric, impulsive or not. The proposed solution is based on a previously developed estimator which requires the analytical probability density function m... View full abstract»

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  • Impact of blind versus non-blind channel estimation on the BER performance of GSM receivers

    Publication Year: 1997, Page(s):62 - 66
    Cited by:  Papers (10)  |  Patents (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (544 KB)

    We investigate in this paper whether the HOS-based blind channel estimation method EVI (eigenvector approach to blind identification) can compete with the nonblind cross-correlation-based scheme used in state-of-the-art GSM receivers (Global System for Mobile communication). For blind, non-blind, and ideal estimates of COST-207 mobile radio channels, we give simulated bit error rates (BER) after V... View full abstract»

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  • Towards non symmetrical optimal source separation contrasts

    Publication Year: 1997, Page(s):368 - 372
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (312 KB)

    We consider the problem of sources separation and particularly criteria based approaches. A generalized definition of contrast function is given in order to consider non symmetrical and/or non scale invariant functions. Two generalized contrasts involving high-order cumulants are proposed. In the case of two sources, we derive the optimal non symmetrical coefficient by minimizing a performance ind... View full abstract»

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  • Improving the threshold performance of higher-order direction finding methods via pseudorandomly generated estimator banks

    Publication Year: 1997, Page(s):285 - 289
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (428 KB)

    A recently reported estimator bank approach (see IEEE SP Lett., vol.4, p.54, 1997) is extended below to the fourth-order direction finding algorithms. The essence of our approach is to exploit “parallel” underlying eigenstructure based estimators for removing the outliers and improving the direction finding performance in the threshold domain. The pseudorandomly generated weighted four... 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 (7)
    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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  • Time-varying third-order cumulant spectra and its application to the analysis and diagnosis of phonocardiogram

    Publication Year: 1997, Page(s):24 - 28
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (332 KB)

    Time-varying third-order cumulant spectra for analyzing phonocardiographic signals has been proposed as an effective tool to detect and quantity the temporal quadratic nonlinear interactions. The cumulant-based Wigner bispectra (CWB) are applied to investigate the nonstationarity and non-Gaussianity of both actual normal and clinical phonocardiograms. Significant time-varying bispectral structure ... View full abstract»

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  • No evidence of stable distributions in radar clutter

    Publication Year: 1997, Page(s):264 - 267
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (312 KB)

    The alpha-stable distribution is a theoretical model for impulsive noise that currently enjoys wide success. In this paper, we test its applicability to high resolution radars that are capable of resolving fine structure of the sea surface. The received sea clutter signal by such systems is not well modeled by a Gaussian process, and we expected that stable distributions may provide better descrip... View full abstract»

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  • TDE, DOA and related parameter estimation problems in impulsive noise

    Publication Year: 1997, Page(s):273 - 277
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (492 KB)

    We address the problem of time-delay estimation (TDE) and direction-of-arrival (DOA) estimation in the presence of symmetric alpha-stable noise. We show that these problems can be handled by conventional correlation or cumulant based techniques, provided that the noisy signals are first passed through a generic zero-memory non-linearity. This pre-processing is also useful in the detection context.... View full abstract»

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  • Asymptotic distribution of the Hermite normality test

    Publication Year: 1997, Page(s):425 - 429
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (364 KB)

    This paper presents some asymptotical results of the Hermite normality test previously introduced. We show that the Hermite statistic SH is distributed under the null hypothesis as a quadratic form of normal variates and under the nonnull hypothesis as normal. The special case of tests with two polynomials is studied in detail. Finally, we give some considerations for the choice of the ... View full abstract»

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  • The estimation of stable distribution parameters

    Publication Year: 1997, Page(s):390 - 394
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    This paper concerns the estimation of the parameters that describe a stable distribution. Stable distributions are characterised by four parameters which can be estimated using a number of methods and although approximate maximum likelihood estimation (MLE) techniques do exist, they are computationally intensive. There are a number of techniques that are much faster than MLE and these are the focu... View full abstract»

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  • Time-frequency representations and their structure

    Publication Year: 1997, Page(s):88 - 92
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    This paper explores the structure of time-frequency representations (TFR) in a discrete time setting. We define a proper TFR to be a function of the signal that has natural time- and frequency-shift properties. We then derive the basic structure of a proper TFR and argue for a quadratic TFR as the simplest form of a proper TFR 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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  • Sampling jitter detection using higher-order statistics

    Publication Year: 1997, Page(s):448 - 452
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (356 KB)

    The spectrum of a signal subjected, to sampling jitter can be significantly different from the spectrum of the same signal sampled without jitter. The first part of the paper shows that the spectrum of a continuous Gaussian signal can be reconstructed from a combined use of the sampled (with jitter) signal second and fourth-order statistics. This spectral reconstruction is then used to detect the ... View full abstract»

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  • MUSICs and Cramer-Rao bound in fourth-order cumulant domain

    Publication Year: 1997, Page(s):290 - 294
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (368 KB)

    A unifying asymptotic performance analysis of a class of MUSIC algorithms for direction-of-arrival (DOA) estimation in fourth-order cumulant domain (FOCD-MUSIC) is presented in this paper. A simple and explicit formula for the asymptotic variances of DOA estimation by FOCD-MUSIC's is given. The Cramer-Rao bound for DOA estimation in fourth-order cumulant domain (FOCD-CRB) is also derived. The perf... View full abstract»

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  • Adaptive separation of an unknown number of sources

    Publication Year: 1997, Page(s):295 - 299
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    The problem of separation of mixed sources is addressed in this paper. To solve this problem, at least as many observations as sources are needed. In particular, the number of sources can be unknown. The separation system is a linear network updated with a stochastic descent algorithm to minimize some separation criterion. A first algorithm separates sources with positive kurtosises while a second... 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 (12)
    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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  • On the identifiability of bilinear stochastic systems

    Publication Year: 1997, Page(s):176 - 180
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (332 KB)

    Bilinear systems are useful to model nonlinear time series. They can be described by a nonlinear recursive equation involving a finite number of parameters. Their analysis and particularly the estimation of the parameters is of central interest. In this paper we establish difference equations between lagged moments and cumulants up to third-order of a simple bilinear model, and show how to use the... View full abstract»

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  • On the optimality of Bussgang and super exponential blind deconvolution methods

    Publication Year: 1997, Page(s):244 - 247
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    In this contribution, a generalization of the super exponential blind deconvolution method is discussed. The generalization consists in the definition of a “spikyness” criterion involving nonlinearities rather than only powers. This allows to rephrase Bussgang deconvolution in the framework of super exponential deconvolution using a spikyness criterion which takes into account the pdf ... View full abstract»

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