Areeb Ahmed* and Ferit Acar Savaci Pages 40 - 44 ( 5 )
Background: All existing time delay estimation methods, i.e. correlation and covariance, depend on second or higher-order statistics which are inapplicable for the correlation of alpha-stable noise signals. Therefore, fractional lower order covariance is the most appropriate method to measure the similarity between the alpha-stable noise signals.
Methods: In this paper, the effects of skewness and impulsiveness parameters of alpha-stable distributed noise on fractional lower order covariance method have been analyzed.
Results: It has been found that auto-correlation, i.e. auto fractional lower order covariance,\ of non delayed alpha-stable noise signals follows a specific trend for specific ranges of impulsiveness and skewness parameters of alpha-stable distributed noise. The results also depict that, by maintaining the skewness and impulsiveness parameters of α-stable noise signals in a certain suggested range, better auto-correlation can be obtained between the transmitted and the received alpha-stable noise signals in the absence and presence of additive white Gaussian noise.
Conclusion: The obtained results would improve signal processing in alpha-stable noise environment which is used extensively to model impulsive noise in many noise-based systems. Mainly, it would optimize the performance of random noise-based covert communication, i.e. random communication.
Alpha-stable noise, fractional lower-order covariance, noise signal processing, noise based systems, covert communications, random communication systems.
Department of Electrical and Electronics Engineering, Faculty of Engineering, Izmir Institute of Technology, Izmir, Department of Electrical and Electronics Engineering, Faculty of Engineering, Izmir Institute of Technology, Izmir