By Topic

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

21-23 July 1997

Filter Results

Displaying Results 1 - 25 of 95
  • Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics

    Publication Year: 1997
    Request permission for commercial reuse | PDF file iconPDF (423 KB)
    Freely Available from IEEE
  • Author index

    Publication Year: 1997, Page(s):469 - 471
    Request permission for commercial reuse | PDF file iconPDF (131 KB)
    Freely Available from IEEE
  • Fourier series based nonminimum phase model for second- and higher-order statistical signal processing

    Publication Year: 1997, Page(s):395 - 399
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    In the paper, a parametric Fourier series based model (FSBM) for or as an approximation to an arbitrary nonminimum-phase linear time-invariant (LTI) system is proposed for statistical signal processing applications where a model for LTI systems is needed. Based on the FSBM, a (minimum-phase) linear prediction error (LPE) filter for amplitude estimation of the unknown LTI system together with the C... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • High-order properties of M-band wavelet packet decompositions

    Publication Year: 1997, Page(s):430 - 433
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    In many applications it is necessary to characterize the statistical properties of the wavelet/wavelet packet coefficients of a stationary random signal. This problem is typically encountered in denoising methods using wavelet packets. Then, in a stationary non-Gaussian noise scenario, it may be useful to determine the high-order statistics of the wavelet packet coefficients. In this work, we prov... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Factorizability of complex signals higher (even) order spectra: a necessary and sufficient condition

    Publication Year: 1997, Page(s):385 - 389
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    This communication presents a necessary and sufficient condition for the factorizability of higher order spectra of complex signals. This condition is based on the symmetries of higher order spectra and on an extension of a formula proposed by Marron, Sanchez and Sullivan for unwrapping phases of third order spectra (see J. Opt. Soc. Am. A, vol.7, p.14-20, 1990). It is an identity between products... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Isolated word recognition using high-order statistics and time-delay neural networks

    Publication Year: 1997, Page(s):57 - 61
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    In this paper, two isolated word recognition methods based on high-order statistics and a time-delay neural network (TDNN) for recognition of Farsi spoken digits have been studied. The adopted speech recognition system consists of four modules, namely, a preprocessor, endpoints' detector, feature extractor and classifier. The first method estimates the AR parameters of speech based on the third- a... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • System reconstruction from selected HOS regions

    Publication Year: 1997, Page(s):224 - 228
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (456 KB)

    System reconstruction from arbitrarily selected slices of the n-th order output spectrum is considered. We establish that unique identification of the impulse response of a system can be performed, up to a scalar and a circular shift, based on any two horizontal slices of the discretized n-th order output spectrum, (n⩾3), as long as the distance between the slices and the grid size satisfy a s... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On representation for nonGaussian ARMA processes

    Publication Year: 1997, Page(s):380 - 384
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (324 KB)

    A generalised predictor space representation (of nonlinearity order two and memory M) for nonGaussian and nonminimum phase ARMA processes is proposed here, by expanding the underlying Hilbert space of finite L2 norm random variables, which is now composed of linear combinations of linear as well as second order nonlinear terms of the process samples. Here the higher order statistical in... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Zero-order statistics: a signal processing framework for very impulsive processes

    Publication Year: 1997, Page(s):254 - 258
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    Techniques based on conventional higher-order statistics fail when the underlying processes become impulsive. Although methods based on fractional lower-order statistics (FLOS) have proven successful in dealing with heavy-tailed processes, they fail in general when the noise distribution has very heavy algebraic tails, i.e., when the algebraic tail constant is close to zero. In this paper we intro... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Application of the positive alpha-stable distribution

    Publication Year: 1997, Page(s):420 - 424
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (372 KB)

    Many physical phenomena are non-Gaussian and if the observed data have frequently occurring extreme values, then the phenomena may be modeled as a random process with an alpha-stable distribution. When positive and negative outcomes are equally likely, then the process would be symmetric alpha-stable (SαS); however when only positive outcomes are possible, then the process would be positive ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Tracking nonlinear systems using higher order moments

    Publication Year: 1997, Page(s):52 - 56
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    A sub-optimal nonlinear time-recursive filter is developed which considers an arbitrary number of moments of the conditional density. The filter assumes a quadratic truncation of the system dynamics and measurement functions and retains N moments, thus requiring knowledge of up to 2N+2 a priori moments and N+1 moments of the measurement noise process, which may be non-Gaussian. Prediction and upda... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Combination of HOS based blind equalization algorithms for use in mobile communications

    Publication Year: 1997, Page(s):219 - 223
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (388 KB)

    Mobile communication links require adaptive equalization with a fast rate of convergence while keeping computational effort at reasonable levels. In this paper we propose to combine known algorithms for blind equalization in order to exploit their desirable properties to reach this goal. A switching criterion is proposed which is based on the change in the equalizer impulse response between iterat... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Narrow band source separation in wide band context applications to array signal processing

    Publication Year: 1997, Page(s):373 - 376
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB)

    Blind source separation is now a well known problem. Various methods have been proposed for instantaneous and convolutive mixtures of sources. Conventional antenna array processing techniques are based on the use of second order statistics but rest on restrictive assumptions. Thus, when a priori informations about the propagation or the geometry of the array are not available, the model can be gen... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Blind identification methods applied to Electricite de France's civil works and power plants monitoring

    Publication Year: 1997, Page(s):82 - 86
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (408 KB)

    In this article, the authors present results obtained on industrial data with source separation techniques in an instantaneous mix. They introduce three applications developed to perform the monitoring of Electricite de France civil works and power plants. The first application concerns the monitoring of nuclear power plants. Each internal component generates specific vibration modes and “ne... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Recursive estimation algorithm for FIR systems using the 3rd and 4th order cumulants

    Publication Year: 1997, Page(s):248 - 251
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (252 KB)

    A recursive estimation algorithm for FIR systems is proposed using the 3rd and 4th order cumulants. From the 3rd and 4th order cumulants relationship, we construct a certain matrix form whose entry consists of the system output sequence. Using this matrix form, the proposed recursive algorithm is developed by the overdetermined recursive instrumental variable (ORIV) method. The proposed algorithm ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Robust time-frequency representations for signals in α-stable noise using fractional lower-order statistics

    Publication Year: 1997, Page(s):415 - 419
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (412 KB)

    Characterizing signals jointly in the time and frequency domains through time-frequency representations (TFRs) such as the Wigner-Ville distribution (WVD) is a natural extension of Fourier analysis and gives a more complete representation of signal behavior particularly in the case of non-stationary signals. In the presence of additive impulsive noise, TFRs quickly break down and any information a... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • 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»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Classification of linear modulations by a combination of different orders cyclic cumulants

    Publication Year: 1997, Page(s):47 - 51
    Cited by:  Papers (14)
    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»

    Full text access may be available. Click article title to sign in or learn about subscription options.