General limit theorem for n phase barkersequences
Wai Ho Mow · Electronics Letters · 1996
Let NL be the total number of normalised n phase Barker sequences of length L as n → ∞. A general limit theorem describing a fundamental relationship between the existence of certain uniform Barker sequences and the finiteness of NL is presented. As a corollary, the limit theorem of Zhang and Golomb is extended from length 19 to 31. The insight gained from the author's limit theorem is that if any n phase Barker sequence of length L exists with L > 31, it is very likely that there are an infinite number of them.