Nonstationary Higher Order Spectral Analysis
Nonstationary Higher Order Spectral Analysis

Author:

Publisher:

Published: 1991

Total Pages: 58

ISBN-13:

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This report discusses the detection performance of a variety of higher order spectra for a variety of signals. Of particular significance is the introduction of a new type of higher order spectra called nonstationary higher order spectra. Nonstationary higher order spectra are not the stationary higher order spectral representations of nonstationary process, but are in fact different spectra which contain the stationary higher order spectra as a subset of their domain. It is shown quantitatively through theoretical predictions and simulations that these type of spectra perform better at detecting nonstationary signals than do the traditional stationary spectra. For the first time, small sample statistics have been derived and applied to the detection performance rather than asymptotic statistics, resulting in a more accurate performance prediction for typical sample sizes for nonstationary signals.

Generalizations of Cyclostationary Signal Processing
Generalizations of Cyclostationary Signal Processing

Author: Antonio Napolitano

Publisher: John Wiley & Sons

Published: 2012-12-07

Total Pages: 452

ISBN-13: 1118437918

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The relative motion between the transmitter and the receiver modifies the nonstationarity properties of the transmitted signal. In particular, the almost-cyclostationarity property exhibited by almost all modulated signals adopted in communications, radar, sonar, and telemetry can be transformed into more general kinds of nonstationarity. A proper statistical characterization of the received signal allows for the design of signal processing algorithms for detection, estimation, and classification that significantly outperform algorithms based on classical descriptions of signals.Generalizations of Cyclostationary Signal Processing addresses these issues and includes the following key features: Presents the underlying theoretical framework, accompanied by details of their practical application, for the mathematical models of generalized almost-cyclostationary processes and spectrally correlated processes; two classes of signals finding growing importance in areas such as mobile communications, radar and sonar. Explains second- and higher-order characterization of nonstationary stochastic processes in time and frequency domains. Discusses continuous- and discrete-time estimators of statistical functions of generalized almost-cyclostationary processes and spectrally correlated processes. Provides analysis of mean-square consistency and asymptotic Normality of statistical function estimators. Offers extensive analysis of Doppler channels owing to the relative motion between transmitter and receiver and/or surrounding scatterers. Performs signal analysis using both the classical stochastic-process approach and the functional approach, where statistical functions are built starting from a single function of time.

Higher-order Spectra Analysis
Higher-order Spectra Analysis

Author: Chrysostomos L. Nikias

Publisher: Prentice Hall

Published: 1993

Total Pages: 570

ISBN-13:

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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.

Measurement of Power Spectra for Nonstationary Random Signals
Measurement of Power Spectra for Nonstationary Random Signals

Author: P. T. Schoenemann

Publisher:

Published: 1962

Total Pages: 24

ISBN-13:

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The use of standard techniques for measuring the power spectra of stationary phenomena in the treatment of nonstationary physical phenomena can lead to erroneous results. Some of the tools available for the analysis of nonstationary random phenomena are outlined in this report and the applicability of these tools to some practical engineering problems is discussed.

Spectral Analysis
Spectral Analysis

Author: Francis Castanié

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 186

ISBN-13: 1118614275

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This book deals with these parametric methods, first discussing those based on time series models, Capon’s method and its variants, and then estimators based on the notions of sub-spaces. However, the book also deals with the traditional “analog” methods, now called non-parametric methods, which are still the most widely used in practical spectral analysis.

Digital Signal Processing and Spectral Analysis for Scientists
Digital Signal Processing and Spectral Analysis for Scientists

Author: Silvia Maria Alessio

Publisher: Springer

Published: 2015-12-09

Total Pages: 909

ISBN-13: 3319254685

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This book covers the basics of processing and spectral analysis of monovariate discrete-time signals. The approach is practical, the aim being to acquaint the reader with the indications for and drawbacks of the various methods and to highlight possible misuses. The book is rich in original ideas, visualized in new and illuminating ways, and is structured so that parts can be skipped without loss of continuity. Many examples are included, based on synthetic data and real measurements from the fields of physics, biology, medicine, macroeconomics etc., and a complete set of MATLAB exercises requiring no previous experience of programming is provided. Prior advanced mathematical skills are not needed in order to understand the contents: a good command of basic mathematical analysis is sufficient. Where more advanced mathematical tools are necessary, they are included in an Appendix and presented in an easy-to-follow way. With this book, digital signal processing leaves the domain of engineering to address the needs of scientists and scholars in traditionally less quantitative disciplines, now facing increasing amounts of data.

Digital Spectral Analysis
Digital Spectral Analysis

Author: Francis Castanié

Publisher: John Wiley & Sons

Published: 2013-02-04

Total Pages: 297

ISBN-13: 1118601831

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Digital Spectral Analysis provides a single source that offers complete coverage of the spectral analysis domain. This self-contained work includes details on advanced topics that are usually presented in scattered sources throughout the literature. The theoretical principles necessary for the understanding of spectral analysis are discussed in the first four chapters: fundamentals, digital signal processing, estimation in spectral analysis, and time-series models. An entire chapter is devoted to the non-parametric methods most widely used in industry. High resolution methods are detailed in a further four chapters: spectral analysis by stationary time series modeling, minimum variance, and subspace-based estimators. Finally, advanced concepts are the core of the last four chapters: spectral analysis of non-stationary random signals, space time adaptive processing: irregularly sampled data processing, particle filtering and tracking of varying sinusoids. Suitable for students, engineers working in industry, and academics at any level, this book provides a rare complete overview of the spectral analysis domain.

Nonstationary Spectral Analysis for Linear Dynamic Systems
Nonstationary Spectral Analysis for Linear Dynamic Systems

Author: William R Davis (Jr)

Publisher:

Published: 1973

Total Pages: 117

ISBN-13:

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R REPRESENTATIONS OF SECOND-ORDER STATISTICS OF NONSTATIONARY PROCESSES ARE STUDIED WITH EMPHASIS ON 'INSTANTANEOUS' AND EVOLUTIONARY SPECTRAL DENSITIES. An integrated procedure for the time dependent spectral response calculation for linear systems with digital analysis of input data is presented for excitation processes which are formed from the product of deterministic envelopes and stationary random processes. Linear response is approximated using finite sum Fourier series for the input envelope, the Fourier coefficients being estimated directly from input time records. Bounds on the spectral density of the underlying stationary excitation process are calculated using discrete Fourier transform techniques which take advantage of the fast Fourier transform algorithm. Both the data analysis and linear response relations offer advantages over previous methods in simplicity and computational effort. Examples using pyrotechnic shock time histories and artificial earthquake motions illustrate the procedure. (Author).