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Tuesday, July 14, 2020 | History

2 edition of bispectrum and higher-order spectra found in the catalog.

bispectrum and higher-order spectra

P. V. Tryon

bispectrum and higher-order spectra

a bibliography

by P. V. Tryon

  • 242 Want to read
  • 19 Currently reading

Published by U.S. Dept. of Commerce, National Bureau of Standards, For sale by the Supt. of Docs., U.S. G.P.O. in Washington, D.C .
Written in English

    Subjects:
  • Spectrum analysis -- Bibliography.

  • Edition Notes

    StatementPeter V. Tryon.
    SeriesNBS technical note -- 1036.
    ContributionsUnited States. National Bureau of Standards., Center for Applied Mathematics (U.S.). Statistical Engineering Division.
    The Physical Object
    Pagination21 p. ;
    Number of Pages21
    ID Numbers
    Open LibraryOL17652396M

    Feb 01,  · The bicoherence is the normalized bispectrum. Higher order spectra (HOS) are spectral representations of moments and cumulants and can be defined for deterministic signals and random processes. They have been used to detect deviations from Gaussianity and identify non-linear systems. Downloadable! This paper investigates the performance of the conventional bispectrum (CB) method and its new variant, the modulation signal bispectrum (MSB) method, in analysing the electrical current signals of induction machines for the condition monitoring of rotor systems driven by electrical motors. Current signal models which include the phases of the various electrical and magnetic Cited by: 4.

    Sep 08,  · The only way to find out is to try it. I tend to be skeptical of higher order statistics. I've had trouble repeating results that have published and I know of others who have also. IMHO, One should never buy a used care from a higher order spectra guy. Reply Start a New Thread. Over the years, condition monitoring of rotating machines has been extensively applied for enhancing equipment reliability and maintenance cost-effectiveness, through the early detection and reliab Cited by: 9.

    This paper investigates the performance of the conventional bispectrum (CB) method and its new variant, the modulation signal bispectrum (MSB) method, in analysing the electrical current signals of induction machines for the condition monitoring of rotor systems driven by electrical motors. Current signal models which include the phases of the various electrical and magnetic quantities are Cited by: 4. Feb 01,  · Read "The new chirp-Wigner higher order spectra for transient signals with any known nonlinear frequency variation, Mechanical Systems and Signal Processing" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at .


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Bispectrum and higher-order spectra by P. V. Tryon Download PDF EPUB FB2

Get this from a library. The bispectrum and higher-order spectra: a bibliography. [P V Tryon; United States.

National Bureau of Standards.; Center for Applied Mathematics (U.S.). Higher-order spectra (HOS) are Fourier representations of cumulants or moments of a stationary random process. They are functions of more than one frequency. The bispectrum is a function of two frequencies and is the FT of the third-order cumulant, which is a function of two lag variables.

Unlike the power spectrum (which is the second order. The Fourier transform of C 3 (t 1,t 2) (third-order cumulant) is called bispectrum or bispectral density.

They fall in the category of Higher Order Spectra, or Polyspectra and provide supplementary information to the power spectrum. The third order polyspectrum (bispectrum) is the easiest to compute, and hence the most popular. As a result the bispectrum is particularly of use when the analyst wishes to detect quadratic (or other even powers of) nonlinearity.

The next in the series of higher-order spectra is the fourth-order spectra, the trispectrum. The trispectrum is particularly useful when analysing a signal for cubic (or other odd powers of) Cited by: Higher-Order Spectrum in Understanding Nonlinearity in EEG Rhythms The book specifically includes introductory remarks to this field, a survey of chaotic dynamics describing progress on evoked.

The applications of bispectrum and higher-order spectra book spectra in signal processing are discussed. View Show abstract On the Principal Domain of the Discrete Bispectrum of a Stationary Signal. Inverse Filter Reconstruction -- The Cross-Bicepstrum of Deterministic and Stochastic Signals -- Analytic Performance Evaluation of the Complex Cepstrum and Bicepstrum -- Ch.

Nonparametric Methods for Signal Recovery From Higher-Order Spectra -- Magnitude and Phase Estimation From Higher-Order Spectra -- The 3rd order polyspectrum is called the bispectrum. It is contain phase information and is a function of two independent frequencies, which could take on both positive and negative values.

Learn more in: Epilepsy Recognition by Higher Order Spectra Analysis of EEG Signals. Feb 13,  · spectrum. Higher-order spectra which are defined in terms of the higher-order moments or cumulants of a signal, contain this additional information. The Higher-Order Spectral Analysis (HOSA) Toolbox provides comprehensive higher-order spectral analysis capabilities for Reviews: Discover Book Depository's huge selection of Peter Tryon books online.

Free delivery worldwide on over 20 million titles. Key Terms in this Chapter. Bicoherence: Is a squared normalized version of the bispectrum.

Higher Order Spectra: (HOS): Refers to functions which use the third or higher power of a sample, as opposed to more conventional techniques of lower-order statistics, which use constant, linear, and quadratic terms. Bispectrum: The 3rd order polyspectrum is called the astonmartingo.com by: 1. In response to the recent growth of interest in polyspectra, this timely text provides an introduction to signal processing methods that are based on polyspectra and cumulants concepts.

The emphasis of the book is placed on the presentation of signal processing tools for use in situations where the more common power spectrum estimation techniques fall short. In statistical theory, one long-established approach to higher-order statistics, for univariate and multivariate distributions is through the use of cumulants and joint cumulants.

In time series analysis, the extension of these is to higher order spectra, for example the bispectrum and trispectrum. The HRV signal is analyzed using different higher order spectra (also known as polyspectra) that are spectral representations of higher order moments or cumulants of a signal.

In particular, this paper studies features related to the third order statistics of the signal, namely the astonmartingo.com by: Order statistical measures (skew and kurtosis) and higher order spectra (the bispectrum) are applicable to the analysis of electrochemical noise data.

In particular occasional unidirectional transients will give a non-zero skew and kurtosis, and a normalized bispectrum with structure. These methods. Cardiac state diagnosis using higher order spectra of heart rate variability J Med Eng Tech ; 32(2): ].

They have proposed different bispectrum and bicoherence plots. In this paper, we derived features from the HOS and used them for astonmartingo.com by: Jul 17,  · Some History Of The Study Of Higher-order Moments And Spectra. Workshop on Higher-Order Spectral Analysis, The Identification Of Certain Cited by: Oct 22,  · Higher order spectral analysis of vibration signals is an efficient tool in condition monitoring and fault detection and diagnosis of rotating machinery.

In this paper, features extracted from vibration bispectrum are used in fault classification of critical rotating components in the AHD helicopter tail rotor drive train astonmartingo.com by: 1. Higher-Order Spectra (HOS) (of order greater than 2), which are defined in terms of higher-order cumulants of the data, do contain such information [35].

The third order spectrum is commonly referred to as bispectrum and the fourth-order as trispectrum. The Use of Higher-Order Spectrum for Fault Quantification of Industrial Electric Motors. Authors; Authors and affiliations Collis, W.B., White, P.R., Hammond, J.K.: Higher order spectra: the bispectrum and trispectrum.

Mech. Syst. Treetrong J. () The Use of Higher-Order Spectrum for Fault Quantification of Industrial Electric MotorsCited by: 6. This paper presents an application based on higher order spectra (HOS) for fault pattern extraction of induction motors.

The focus was put on one of major HOS measures, the bispectrum in particular. The bispectrum is the third-order frequency domain measure, which contains information that conventional spectral analysis techniques cannot astonmartingo.com by: 3.Feb 27,  · Earlier studies suggest that bispectrum analysis is a good tool for detecting and distinguishing rotor-related faults in rotating machines, with a significantly reduced number of vibration sensors.

Now, the trispectrum analysis is also applied to the measured vibration data, so as to explore the usefulness of this analysis in the astonmartingo.com by: 9.In this study, an effective autism diagnostic system using electroencephalogram (EEG) signals, which are generated from electrical activity in the brain, was developed and characterized.

The pre-processed signals were converted to two-dimensional images using the higher-order spectra (HOS) astonmartingo.com: The-Hanh Pham, Jahmunah Vicnesh, Joel Koh En Wei, Shu Lih Oh, N. Arunkumar, Enas W. Abdulhay, Edward.