Study of Multi-State PN Sequences and Their Application to Communication Systems.
Gold,Robert · Defense Technical Information Center (DTIC) · 1976
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.