Cyclostationary Processes and Time Series

Cyclostationary Processes and Time Series

Theory, Applications, and Generalizations

1st Edition - October 24, 2019

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  • Author: Antonio Napolitano
  • eBook ISBN: 9780081027370
  • Paperback ISBN: 9780081027080

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Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology. Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features.

Key Features

  • Presents the foundations and developments of the second- and higher-order theory of cyclostationary signals
  • Performs signal analysis using both the classical stochastic process approach and the functional approach for time series
  • Provides applications in signal detection and estimation, filtering, parameter estimation, source location, modulation format classification, and biological signal characterization
  • Includes algorithms for cyclic spectral analysis along with Matlab/Octave code
  • Provides generalizations of the classical cyclostationary model in order to account for relative motion between transmitter and receiver and describe irregular statistical cyclicity in the data


Researchers and graduate students in electronic engineering, Stochastic Processes, Harmonic analysis, and Applied Mathematics

Table of Contents

    1. Characterization of Stochastic Processes
    2. Characterization of Time-Series
    3 Almost-Cyclostationary Signal Processing
    4. Higher-Order Cyclostationarity
    5. Ergodic Properties and Measurement of Characteristics
    6. Quadratic Time-Frequency Distributions
    7. Manufactured Signals
    8. Detection and Cycle Frequency Estimation
    9. Communications Systems
    10. Selected Topics and Applications

    11. Limits of the Almost-Cyclostationary Model
    12. Generalized Almost-Cyclostationary Signals
    13. Spectrally Correlated Signals
    14. Oscillatory Almost-Cyclostationary Signals
    15. The Big Picture

    A. Nonstationary Signal Analysis
    B. Almost-Periodic Functions
    C. Sampling and Replication
    D. Hilbert Transform, Analytic Signal, and Complex Envelope
    E. Complex Random Vectors, Quadratic Forms, and Chi Squared Distribution
    F. Bibliographic Notes

Product details

  • No. of pages: 626
  • Language: English
  • Copyright: © Academic Press 2019
  • Published: October 24, 2019
  • Imprint: Academic Press
  • eBook ISBN: 9780081027370
  • Paperback ISBN: 9780081027080

About the Author

Antonio Napolitano

Antonio Napolitano is Full Professor of Telecommunications at the University of Napoli Parthenope (Italy). In 1995 he received the Best Paper of the Year Award from the European Association for Signal Processing (EURASIP) for a paper on higher-order cyclostationarity. In 2007 was recipient of the EURASIP Best Paper Award for a paper on the functional approach in signal analysis. In 2008 he received from Elsevier the Most Cited Paper Award for a review article on cyclostationarity. In 2016 he became an IEEE Fellow. He has been Associate Editor of the IEEE Transactions on Signal Processing and is on the Editorial Board of Signal Processing (Elsevier) and Digital Signal Processing (Elsevier). He has been in the Signal Processing Theory and Methods Technical Committees (SPM-TC) and is now in the Sensor Array and Multichannel Technical Committee (SAM-TC) of the IEEE Signal Processing Society.

Affiliations and Expertise

Full Professor of Telecommunications at the University of Napoli Parthenope (Italy).

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  • Professor G. Sat Nov 30 2019

    Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations

    Words that leap to mind regarding this tome and its author: Encyclopedic, Erudite, Exemplary Scholarship. This is unquestionably today's Definitive work on Cyclostationarity, which now pervades both the engineering fields and the sciences. Congratulations are due to Professor Antonio Napolitano.