Accession Number : AD0747059

Title :   On the Cross-Correlation Functions of Maximal Linear Recurring Sequences.

Descriptive Note : Interim technical rept.,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Trachtenberg,Herbert Mitchell

Report Date : JUL 1970

Pagination or Media Count : 61

Abstract : Maximal linear sequences have been studied extensively by numerous researchers. One well-known property of such sequences is their 'ideal' autocorrelation property. Until recently, however, little has been known about the cross-correlation function of two different maximal sequences of the same period. Reports of research on this question which have appeared in the last few years have dealt exclusively with the case of binary sequences. In the work described herein, emphasis is on the cross-correlation of maximal linear sequences over the integers modulo p, where p is an odd prime. (Author)

Descriptors :   (*SEQUENCES(MATHEMATICS), THEOREMS), (*INFORMATION THEORY, SEQUENCES(MATHEMATICS)), NUMBER THEORY, CORRELATION TECHNIQUES, POLYNOMIALS, COMPLEX NUMBERS, POWER SERIES, TRANSFORMATIONS(MATHEMATICS), THESES

Subject Categories : Statistics and Probability
      Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE