Mean and Variance of the Correlation Magnitude of Random and Pseudonoise Sequences.
NAVAL RESEARCH LAB WASHINGTON D C
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The mean or expected value and the variance of the absolute value of correlation between equal-length independent random sequences have been determined and compared with the same measures for full-period pseudonoise PN sequences, which have applied extensively in spread-spectrum radio communications systems. The magnitude of correlation is often of primary interest in such applications, since a strong negative correlation is as significant as a strong positive correlation hence correlation detectors exist which function on the basis of the magnitude of correlation. The comparison reveals several advantages of the Gold codes which are due to their inherent mutual orthogonality. The study of random codes permits the performance evaluation of such detectors during periods of noise-only input and also provides a long-needed point of reference for PN system design. Author