Method for calculating cross-correlation coefficient between two random signals in the presence of etheric interference

Abstract

In practice, in many cases it is necessary to measure the value of cross-correlation coefficient between two random signals. While calculating the value of cross-correlation coefficient between the two noise generators output signals at the indoor workplace there is always an etheric interference that significally distorts the measurement results. When there is no possibility to use existing methods for removing interference while making measurements, the new method for calculating cross-correlation coefficient between two random signals in the presence of etheric interference that can be used to evaluate the special properties of the noise generators is developed by the authors of this article. The first part of the article reviews existing methods of making measurements for calculating cross correlation coefficient between two random signals in the presence of etheric interference. The second part introduced the new method and gives some examples of calculating cross-correlation coefficient by this method. During the study it was found that the value of cross-correlation coefficient of the two noise generators output signals depends on the value of signal-to-noise ratio (SNR) (i.e., on the value of power of correlated part in both noise generators output signals). Practical significance of the study lies in the possibility of using the method for calculating cross-correlation coefficient between the two noise generators output signals in the presence of etheric interference when it is impossible to use EMI shielded room to make measurements.