A generation method of orthogonal periodic complex number sequence sets with lowest peak of cross-correlation for any period based on chirp sequences
| العنوان: | A generation method of orthogonal periodic complex number sequence sets with lowest peak of cross-correlation for any period based on chirp sequences |
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| المؤلفون: | Kenji Ohue |
| المصدر: | Electronics and Communications in Japan (Part III: Fundamental Electronic Science). 87:1-11 |
| بيانات النشر: | Wiley, 2004. |
| سنة النشر: | 2004 |
| مصطلحات موضوعية: | Set (abstract data type), Combinatorics, Sequence, Dimension (vector space), Mathematical analysis, Chirp, Periodic sequence, Polyphase system, Electrical and Electronic Engineering, Complex number, Discrete Fourier transform, Mathematics |
| الوصف: | In this paper, we propose a new generation method of orthogonal periodic complex number sequence sets based on chirp sequences that can derive the orthogonal periodic complex number sequence set having the minimum cross-correlation peak for any period. First, we use the Ohue–Okahisa Conjecture that is proven in a practical range related to the orthogonal periodic polyphase sequence obtained by taking the inverse discrete Fourier transform of a chirp sequence to derive the relationship between the period N having the minimum peak of the cross-correlation and the chirp sequence parameter R, and clearly explain a generation method of an orthogonal periodic complex number sequence pair having the minimum cross-correlation peak for any period. Next, we present a generation method of the orthogonal periodic complex number sequence set having the minimum cross-correlation peak for any two sequences in the set. The dimension of this set is clearly equal to the minimum prime factor of the period N. Furthermore, we present a generation method of the orthogonal periodic polyphase sequence set having the minimum cross-correlation peak for any period and show that the dimension of this set becomes a value 1 less than the minimum prime factor of period N. We show that this generation method can derive the orthogonal periodic complex number sequence set having the minimum cross-correlation peak for periods that could not be generated by conventional techniques and can derive the orthogonal periodic polyphase sequence set demonstrated previously. Finally, we present a generation example of the orthogonal periodic sequence set having the minimum cross-correlation peak and clearly show that the orthogonal periodic complex number sequence set and orthogonal periodic polyphase sequence set having the minimum cross-correlation peak can be generated. © 2004 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 87(5): 1–11, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.10129 |
| تدمد: | 1520-6440 1042-0967 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::60b3845e58f5c01a4eff28c5b0dc37ed https://doi.org/10.1002/ecjc.10129 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........60b3845e58f5c01a4eff28c5b0dc37ed |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15206440 10420967 |
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