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Research on theory of binary-third-order cyclic autocorrelation sequences

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3 Author(s)
Yi Zhong ; Key Lab. of Universal Wireless Commun., Beijing Univ. of Posts & Telecommun., Beijing, China ; Zheng Zhou ; Yutong Wang

Because higher-order cumulant (HOC) is insensitive to the adding Gaussian noise and symmetry non-Gaussian noise, a new kind of perfect discrete signal with good periodic correlation function is presented. This paper proposes a new concept of perfect binary-third-order cyclic autocorrelation sequences (PBTOCAS), and defines the quasi-perfect binary-third-order cyclic autocorrelation sequences (QPBTOCAS) and the almost perfect binary-third-order cyclic autocorrelation sequences (APBTOCAS). Then, the properties of these binary sequences are studied, and we theoretically prove that binary-third-order cyclic autocorrelation sequences can effectively suppress colored Gaussian noise. Finally, some quasi-perfect binary-third-order cyclic autocorrelation sequences and almost perfect binary-third-order cyclic autocorrelation sequences with short lengths by computer searching are listed. From the observation of the perfect binary-third-order cyclic autocorrelation sequences, we can see that it can well suits engineering applications, remedying the defect of the current Pseudo-noise (PN) code used in very low signal-noise-ratio (SNR) environments.

Published in:

Communications and Information Technologies (ISCIT), 2012 International Symposium on

Date of Conference:

2-5 Oct. 2012

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