Abstract:

A new kind of perfect discrete signal with good odd-periodic correlation function is presented. It is odd-periodic perfect almost binary sequence pair. The elements of each sequence in odd-periodic perfect almost binary sequence pair are “1” or “-1” with exception of a single zero element, and odd-periodic perfect almost binary sequence pair possess a perfect odd-autocorrelation function. The transformation features and Fourier spectrum of odd-periodic perfect almost binary sequence pair are studied. Some combined admissibility conditions are also given out. It is found that odd-periodic perfect almost binary sequence pair spreads the existing range of odd-periodic perfect almost binary sequence and odd-periodic perfect almost binary sequence is a special case when the two sequences in the odd-periodic perfect almost binary sequence pair are same.

Key words: perfect signal, sequence pair, odd-periodic, correlation