New Construction of Quadriphase Golay Complementary Pairs

Based on an arbitrarily-chosen binary Golay complementary pair (BGCP) ( c , d ) of even length N, first of all, construct quadriphase sequences a and b of length N by weighting addition and difference of the aforementioned pair with different weights, respectively. Secondly, new quadriphase sequence u is given by interleaving three sequences d , a , and − c , and similarly, the sequence v is acquired from three sequences d , b , and c . Thus, the resultant pair ( u , v ) is the quadriphase Golay complementary pair (QGCP) of length 3N. The QGCPs play a fairly important role in communications, radar, and so on.