TY - GEN
T1 - Research on theory of almost perfect binary-third-order cyclic autocorrelation sequences
AU - Zhong, Yi
AU - Zhou, Zheng
AU - Jiang, Ting
PY - 2012
Y1 - 2012
N2 - 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, which is the almost perfect binary-third-order cyclic autocorrelation sequences (APBTOCAS). We present the definitions of APBTOCAS and its transformation properties. Based on these properties, we search out an almost perfect binary-third-order cyclic autocorrelation sequence 667 (octal) within length 26. Then, we theoretically prove that binary-third-order cyclic autocorrelation sequences can effectively suppress colored Gaussian noise. Finally, the simulation shows that almost perfect binary-third-order cyclic autocorrelation sequences have such good periodic correlation that they can they are feasible for engineering applications as synchronization codes and multiuser codes, remedying the defect of the current Pseudo-noise (PN) code used in very low signal-noise-ratio (SNR) environments.
AB - 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, which is the almost perfect binary-third-order cyclic autocorrelation sequences (APBTOCAS). We present the definitions of APBTOCAS and its transformation properties. Based on these properties, we search out an almost perfect binary-third-order cyclic autocorrelation sequence 667 (octal) within length 26. Then, we theoretically prove that binary-third-order cyclic autocorrelation sequences can effectively suppress colored Gaussian noise. Finally, the simulation shows that almost perfect binary-third-order cyclic autocorrelation sequences have such good periodic correlation that they can they are feasible for engineering applications as synchronization codes and multiuser codes, remedying the defect of the current Pseudo-noise (PN) code used in very low signal-noise-ratio (SNR) environments.
KW - Correlation signal
KW - Higher-order cumulant
KW - Information theory
KW - Perfect signal
UR - https://www.scopus.com/pages/publications/84874130421
U2 - 10.1007/978-1-4614-5803-6_24
DO - 10.1007/978-1-4614-5803-6_24
M3 - Conference contribution
AN - SCOPUS:84874130421
SN - 9781461458029
T3 - Lecture Notes in Electrical Engineering
SP - 237
EP - 245
BT - Communications, Signal Processing, and Systems - The 2012 Proceedings of the International Conference on Communications, Signal Processing, and Systems, CSPS 2012
T2 - 2012 International Conference on Communications, Signal Processing, and Systems, CSPS 2012
Y2 - 16 October 2012 through 18 October 2012
ER -