Legendre sequences for periodic non-coherent pulse compression

摘要

Perfect periodic cross-correlation is achievable in non-coherent pulse compression using Legendre sequences of any prime length. This paper briefly describes the (previously known) transmit and reference signals for the = 4 - 1 case where , the sequence length, is prime and is a positive integer. It is then shown that a slight modification allows perfect periodic correlation with = 4 - 3, doubling the number of available sequences.