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
  • 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»

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  • 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»

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  • 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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  • 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»

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  • The estimation of stable distribution parameters

    Publication Year: 1997, Page(s):390 - 394
    Cited by:  Papers (4)
    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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  • 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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  • 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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  • 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»

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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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  • 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 (11)  |  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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  • Separation of sinusoidal sources

    Publication Year: 1997, Page(s):344 - 348
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (456 KB)

    A particular source separation problem is addressed in this paper. We mainly focus on the separation of convolutive mixtures of rotating machine noises when the rotation speeds are close. Three specific points are developed. In the first point, we study the feasibility of the separation of periodic signals, regarding the hypothesis of random and non gaussian sources. We also discuss about the hypo... 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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  • 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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  • A normalized block LMS algorithm for frequency-domain Volterra filters

    Publication Year: 1997, Page(s):152 - 156
    Cited by:  Papers (3)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (312 KB)

    The objective of the paper is to introduce a new adaptive filtering algorithm for estimating frequency-domain second-order Volterra filter coefficients. The approach rests upon the normalized LMS (NLMS) algorithm and the frequency-domain block LMS algorithm. The utilization of the normalized LMS algorithm facilitates choice of a proper step size, with which the adaptive frequency domain Volterra f... View full abstract»

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  • 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»

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  • Application of the positive alpha-stable distribution

    Publication Year: 1997, Page(s):420 - 424
    Cited by:  Papers (16)
    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»

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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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  • 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»

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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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  • Adaptive separation of an unknown number of sources

    Publication Year: 1997, Page(s):295 - 299
    Cited by:  Papers (2)
    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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  • 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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  • 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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  • 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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