## 864 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.

### Generalized almost-cyclostationary signals

- MathematicsCyclostationary Processes and Time Series
- 2020

### 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…

## References

SHOWING 1-10 OF 1,035 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.

### 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.

### Linear time-variant transformations of generalized almost-cyclostationary signals .I. Theory and method

- MathematicsIEEE Trans. Signal Process.
- 2002

The problem of linear time-variant filtering is addressed in the fraction-of-time (FOT) probability framework and the new concept of expectation in the FOT probability framework of the impulse-response function of a system is introduced.