Title :
Perfect Gaussian Integer Sequences of Odd Prime Length
Author :
Yang, Yang ; Tang, Xiaohu ; Zhou, Zhengchun
Author_Institution :
Provincial Key Lab. of Inf. Coding & Transm., Southwest Jiaotong Univ., Chengdu, China
Abstract :
A Gaussian integer is a complex number whose real and imaginary parts are both integers. A Gaussian integer sequence is called perfect (odd perfect) if the out-of-phase values of the periodic (odd periodic) autocorrelation function are equal to zero. In this letter, for any odd prime p, using the cyclotomic classes of order 2 and 4 with respect to GF(p), we propose perfect and odd perfect Gaussian integer sequences of length p. Several examples are also given.
Keywords :
Gaussian processes; cyclotomic classes; odd perfect; odd periodic; odd prime length; out-of-phase values; perfect Gaussian integer sequences; periodic autocorrelation function; Correlation; Cryptography; Educational institutions; Indexes; Peak to average power ratio; Quadrature amplitude modulation; Autocorrelation; Gaussian integer; cyclotomy; odd perfect sequence; perfect sequence;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2012.2209642
