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Using two information channels for solving the problem of discrete signal recognition in additive noise

Authors: Troitskii I.I., Basarab M.A., Matveev V.A.  Published: 03.09.2015
Published in issue: #4(103)/2015  
DOI: 10.18698/0236-3933-2015-4-106-112

 
Category: Informatics, Computer Engineering and Control | Chapter: Theoretical Computer Science, Cybernetics  
Keywords: signal recognition, noise compensation, variance, signal-to-noise ratio

The paper describes a method for discrete signal recognition in the presence of additive noise using the second information channel containing only noise. In some cases, if the second communication channel does not exist, it is possible to introduce it artificially. The proposed method is based on the correlation of noises in two transmission channels. To solve the problem of noise compensation, the linear correlation function between the noses is chosen and its parameter is determined on the basis of the signal-to-noise ratio maximum. Both the signal-to-noise ratio for the first channel and the ratio resulting from the noise compensation are identified. It is proved that the advantage is achieved in all cases, when the noises are correlated. The greatest advantage in the signal-to-noise ratio is possible, if the absolute value of the noise correlation coefficient equals either one or minus one. For a combination of normal noises, the probability of correct recognition of a discrete signal after compensation is defined.

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