On the Autocorrelation Distributions of Sidel'nikov Sequences 


Vol. 30,  No. 8, pp. 735-741, Aug.  2005


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  Abstract

In this paper, we derived the autocorrelation distributions, i.e., the values and the number of occurrences of each value of the autocorrelation function of Sidel'nikov sequences. The frequency of each autocorrelation value of an M -ary Sidel'nikov sequence is expressed in terms of the cyclotomic numbers of order M . It is also pointed out that the total number of distinct autocorrelation values is dependent not only on M but also on the period of the sequence, but always less than or equal to (M/2)+1 .

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  Cite this article

[IEEE Style]

Y. Kim, J. Chung, J. No, H. Chung, K. Kim, "On the Autocorrelation Distributions of Sidel'nikov Sequences," The Journal of Korean Institute of Communications and Information Sciences, vol. 30, no. 8, pp. 735-741, 2005. DOI: .

[ACM Style]

Young-Sik Kim, Jung-Soo Chung, Jong-Seon No, Habong Chung, and Kyung-ah Kim. 2005. On the Autocorrelation Distributions of Sidel'nikov Sequences. The Journal of Korean Institute of Communications and Information Sciences, 30, 8, (2005), 735-741. DOI: .

[KICS Style]

Young-Sik Kim, Jung-Soo Chung, Jong-Seon No, Habong Chung, Kyung-ah Kim, "On the Autocorrelation Distributions of Sidel'nikov Sequences," The Journal of Korean Institute of Communications and Information Sciences, vol. 30, no. 8, pp. 735-741, 8. 2005.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880