Structure and Performance Evaluation of Fractional Lower-Order Covariance Method in Alpha-Stable Noise Environments

Author(s): Areeb Ahmed*, Ferit Acar Savaci

Journal Name: Recent Advances in Electrical & Electronic Engineering
Formerly Recent Patents on Electrical & Electronic Engineering

Volume 12 , Issue 1 , 2019

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Graphical Abstract:


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.

Keywords: Alpha-stable noise, fractional lower-order covariance, noise signal processing, noise based systems, covert communications, random communication systems.

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Article Details

Year: 2019
Published on: 19 April, 2018
Page: [40 - 44]
Pages: 5
DOI: 10.2174/2352096511666180419143436
Price: $25

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