Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation

Chenchen LIU; Wenyi ZHANG; Xiaoni DU

doi:10.1587/transfun.2023SDL0003

この記事には本公開記事があります。本公開記事を参照してください。
引用する場合も本公開記事を引用してください。

Pairs of Ternary Perfect Sequences with Three-Valued Cross-Correlation

Chenchen LIU, Wenyi ZHANG, Xiaoni DU

著者情報

キーワード: Cross-correlation, Decimation, Exponential sum, Ternary perfect sequence

ジャーナルフリー早期公開

論文ID: 2023SDL0003

DOI https://doi.org/10.1587/transfun.2023SDL0003

この記事には本公開記事があります。

The final version of this article is now available: Vol. E106.A (2023), No. 12 pp. 1521-1524

詳細

抄録

The calculation of cross-correlation between a sequence with good autocorrelation and its decimated sequence is an interesting problem in the field of sequence design. In this letter, we consider a class of ternary sequences with perfect autocorrelation, proposed by Shedd and Sarwate (IEEE Trans. Inf. Theory, 1979, DOI: 10.1109/TIT.1979.1055998), which is generated based on the cross-correlation between m-sequence and its d-decimation sequence. We calculate the cross-correlation distribution between a certain pair of such ternary perfect sequences and show that the cross-correlation takes three different values.

責任著者(Corresponding author)

J-STAGEへの登録はこちら（無料）