A discussion on theoretical limits of zero correlation window complementary codes
Daoben Li · Journal of China Institute of Communications · 2004
A new set of zero correlation window complementary codes is introduced in this paper, it can be represented by three independent elements which are namely: a pair of complementary orthogonal codes, an orthogonal matrix and a matrix of sequence number. The theoretical limit of the sum of the square of side-lobes of the correlation functions of such zero correlation window complementary codes is discussed in this paper and few very important theorems are also given. These theorems include: sum of square of the side-lobes is the function of relative phase shift only, consistency of the zero correlation window complementary codes and invariance of sum of square of the side-lobes in column rotation or rearrangement. These theorems have strong impact on designing the zero correlation window complementary codes set.