Research on Odd-Periodic Perfect Almost Binary Sequence Pair
Weixia Zou
Abstract
Weixia Zou
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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 concepts: Periodic sequence, Pseudorandom binary sequence, Sequence (biology), Binary number, Mathematics, Complementary sequences, Combinatorics, Autocorrelation