## 857 Citations

A comparative example of cyclostationary description of a non-stationary random process

- Computer ScienceJournal of Physics: Conference Series
- 2019

It is shown that two significantly different random processes appear to be characterized by exactly the same autocorrelation function while their two-dimensional autoc orrelation functions provide outlook where the difference between processes of two above-mentioned classes becomes much clearer.

How to detect the cyclostationarity in heavy-tailed distributed signals

- Computer ScienceSignal Process.
- 2020

On characterization and application of oscillatory almost-cyclostationary processes

- Physics2017 25th European Signal Processing Conference (EUSIPCO)
- 2017

The problem of statistical function measurements is addressed for the special case of amplitude-modulated time-warped almost-cyclostationary processes and these processes are shown to be a suitable model for the electrocardiogram.

MISSING DATA ANALYSIS IN CYCLOSTATIONARY MODELS

- Computer Science
- 2014

This paper proposes to use EM algorithms to extend estimation for situation when some observations are missing to fill the gap in systematic research on cyclostationary time series modeling.

Generalized almost-cyclostationary processes and spectrally correlated processes: Two extensions of the class of the almost-cyclostationary processes

- Mathematics2007 9th International Symposium on Signal Processing and Its Applications
- 2007

In this paper, two recently introduced classes of nonstationary processes are reviewed: The class of the generalized almost-cyclostationary (GACS) processes and the class of the spectrally correlated…

Covariance of Replicated Modulated Cyclical Time Series

- Computer Science
- 2012

The application of the inference methods developed for the modulated cyclostationary model to EEG data demonstrates that the proposed model captures statistically significant cross-frequency interactions, that ought to be further examined by neuroscientists.

Decomposing Statistical Periodicities

- Mathematics2007 IEEE/SP 14th Workshop on Statistical Signal Processing
- 2007

Nonstationary random symbolic sequences are investigated for cyclostationarity and decomposition into constituent cyclostationary sources. Since the symbolic sources do not admit an algebraic…

Algorithms for analysis of signals with time-warped cyclostationarity

- Engineering2016 50th Asilomar Conference on Signals, Systems and Computers
- 2016

Two philosophically different approaches to the analysis of signals with imperfect cyclostationarity or polycy-clostationarity of the autocorrelation function due to warping are presented. The first…

## References

SHOWING 1-10 OF 1,036 REFERENCES

Cyclostationarity in communications and signal processing

- Computer Science
- 1994

This book brings together the latest work in the field by the foremost experts and presents it in a tutorial fashion, instrumental in furthering progress in understanding and using cyclostationarity in all fields where it arises.

EOFs of One-Dimensional Cyclostationary Time Series: Computations, Examples, and Stochastic Modeling

- Environmental Science
- 1996

Abstract Many climatic time series seem to be a mixture of unpredictable fluctuations and changes that occur at a known frequency, as in the case of the annual cycle. Such a time series is called a…

Representation and Estimation of Cyclostationary Processes

- Environmental Science
- 1972

Abstract : Random signal processes which have been subjected to some form of repetitive operation such a sampling, scanning or multiplexing will usually exhibit statistical properties which vary…

On the spectral coherence of nonstationary processes

- PhysicsIEEE Trans. Signal Process.
- 1991

It is concluded that spectral correlation measurements on single time series are of highly questionable value for detection and characterization of nonstationarity, except in the special cases of cyclostationarity.

Linear time-variant transformations of generalized almost-cyclostationary signals.II. Development and applications

- MathematicsIEEE Trans. Signal Process.
- 2002

The usefulness of considering the linear filtering problem within the class of the GACS signals is clarified, and several pitfalls arising from continuing to adopt for the observed time-series the ACS model when an increase in the data-record length makes the GacS model more appropriate are pointed out.

Spectral representation of a periodic nonstationary random process

- MathematicsIEEE Trans. Inf. Theory
- 1971

This paper deals with the periodic nonstationary process, the mean value and the correlation function of which are invariant under shift by a multiple of a certain period and are represented in terms of a matrix-valued spectral density that is hermitian and nonnegative definite.

Consistent estimation of the cyclic autocorrelation

- MathematicsIEEE Trans. Signal Process.
- 1994

The authors derive necessary and sufficient conditions for consistency in mean square of an estimator, which are in the form of a single sum of autocorrelation coefficients, in the forms of a double sum of Autocor correlation coefficients, and in the bifrequency domain and in terms of the average spectrum.

Fraction-of-time probability for time-series that exhibit cyclostationarity

- MathematicsSignal Process.
- 1991

Statistical tests for presence of cyclostationarity

- MathematicsIEEE Trans. Signal Process.
- 1994

Asymptotically optimal /spl chi//sup 2/ tests are developed to detect the presence of cycles in the kth-order cyclic cumulants or polyspectra, without assuming any specific distribution on the data.