Periodic complementary binary sequences

Since man devised a way to count, patterns or sequences of numbers have held mathematicians' attention. However, it has only been recently that binary sequences have received so much attention due to their compatibility with computers. For the past 30 years the fields of Electrical Engineering, Computer Engineering and Mathematics have done some extensive research in this area because of its many applications in radar, sonar and the reliability and security of communication systems such as digital communications, faxes, telecommunications and electronic transfers especially in banking and finance. First discussed will be the Perfect Binary Sequence. Then the Golay Complementary Sequence and finally the general case of the Periodic Complementary Binary Sequence or PCBS.