Study of Multi-State PN Sequences and their Application to Communication Systems.
Progress rept. no. 5, 1 Jan-15 Feb 76,
ROCKWELL INTERNATIONAL NEWPORT BEACH CALIF COLLINS RADIO GROUP
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Substantial progress was made during the current reporting period which was devoted to the following areas Further correlation properties of four-state sequences, implementation of four-state sequences in systems using correlation detectors, and spectral properties of four-state sequences. The cross-correlation function of any two maximal four-state sequences was determined in terms of the cross-correlation function of the binary sequences used to represent them. Two general formulas were obtained, each of which applies depending on whether the four-state sequences being correlated are of the same or opposite category. It was shown that the cross-correlation function of two maximal four-state sequences of opposite category is real valued. The mean square value of the cross-correlation function of any two maximal four-state sequences has been determined.