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Author: P. V. Tryon
Publisher:
ISBN:
Category : Spectrum analysis
Languages : en
Pages : 30
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Author: P. V. Tryon
Publisher:
ISBN:
Category : Spectrum analysis
Languages : en
Pages : 28
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Book Description
Author: Chrysostomos L. Nikias
Publisher: Prentice Hall
ISBN:
Category : Science
Languages : en
Pages : 570
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Book Description
This manual will be valuable to practicing engineers who need an introduction to polyspectra from a signal processing perspective. 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.
Author: Peter V. Tryon
Publisher: Forgotten Books
ISBN: 9780364738474
Category : Business & Economics
Languages : en
Pages : 32
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Book Description
Excerpt from The Bispectrum and Higher-Order Spectra: A Bibliography Akaike, H. Note on higher order spectra. Annals of the Institute of Statistical Mathematics, 18, 123-126. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: P. V. Tryon
Publisher:
ISBN:
Category : Spectrum analysis
Languages : en
Pages : 0
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Author: Peter V.. Tryon
Publisher:
ISBN:
Category :
Languages : en
Pages : 21
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Author:
Publisher:
ISBN:
Category : Signal processing
Languages : en
Pages : 286
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Author: Murray A. Wolinsky
Publisher:
ISBN:
Category :
Languages : en
Pages : 93
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Book Description
This bispectrum is examined from a variety of physical and mathematical perspectives. Particular stress is placed on those examples or approaches which aid intuitive understanding of the bispectrum and its properties. A key contribution of this work is the discovery and detailed development of a time series model which can reproduce any possible bispectrum. This model is used to discuss practical concerns relating to the bispectrum such as sampling and estimation issues. Keywords: Bispectrum; Cross spectrum; Frequency coupling; Higher order spectrum; Non-Guassianity; Nonlinear signals. (jhd).
Author: T.S. Rao
Publisher: Springer Science & Business Media
ISBN: 1468463187
Category : Mathematics
Languages : en
Pages : 289
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Book Description
The theory of time series models has been well developed over the last thirt,y years. Both the frequenc.y domain and time domain approaches have been widely used in the analysis of linear time series models. However. many physical phenomena cannot be adequately represented by linear models; hence the necessity of nonlinear models and higher order spectra. Recently a number of nonlinear models have been proposed. In this monograph we restrict attention to one particular nonlinear model. known as the "bilinear model". The most interesting feature of such a model is that its second order covariance analysis is ve~ similar to that for a linear model. This demonstrates the importance of higher order covariance analysis for nonlinear models. For bilinear models it is also possible to obtain analytic expressions for covariances. spectra. etc. which are often difficult to obtain for other proposed nonlinear models. Estimation of bispectrum and its use in the construction of tests for linearit,y and symmetry are also discussed. All the methods are illustrated with simulated and real data. The first author would like to acknowledge the benefit he received in the preparation of this monograph from delivering a series of lectures on the topic of bilinear models at the University of Bielefeld. Ecole Normale Superieure. University of Paris (South) and the Mathematisch Cen trum. Ams terdam.
Author: Gopalakrishnan Sundaramoorthy
Publisher:
ISBN:
Category : Signal processing
Languages : en
Pages : 154
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Book Description
"Higher order cumulants and spectra have found a variety of uses in many areas of digital signal processing. The third order spectrum, or bispectrum, is of specific interest to researchers because of some of its properties. The Bispectrum is defined as the fourier transform of the third order cumulant se quence for stochastic processes, and as a triple product of fourier transforms for deterministic signals. In the past, bispectral analysis has been used in applications such as identification of linear filters, quadratic phase coupling problems and detection of deviations from normality. This work is aimed at developing techniques for reconstructing deterministic signals in noise us ing the bispectrum. The bispectrum is zero for many noise processes, and is insensitive to linear phase shifts. The main motivation of this work is to exploit these properties of bispectrum that are potentially useful in signal re covery. The existing bispectral recovery techniques are discussed in the signal reconstruction frame work and their main limitation in handling noisy de terministic signals is brought out. New robust reconstruction procedures are provided in order to use bispectrum in such cases. The developed algorithms are tested over a range of simulated applications to bring out their robustness in handling both deterministic and stochastic signals. The new techniques are compared with existing bispectral methods in various problems. This thesis also discusses some of the tradeoffs involved in using bispectrum based reconstruction approaches against non-bispectral methods."--Abstract.
Author: Mark Lawrence Williams
Publisher:
ISBN:
Category :
Languages : en
Pages :
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