A general method for generating odd-shift orthogonal sequences
| العنوان: | A general method for generating odd-shift orthogonal sequences |
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| المؤلفون: | Kenji Ohue |
| المصدر: | Electronics and Communications in Japan (Part III: Fundamental Electronic Science). 78:24-31 |
| بيانات النشر: | Wiley, 1995. |
| سنة النشر: | 1995 |
| مصطلحات موضوعية: | Sequence, Complementary sequences, Mathematical analysis, Autocorrelation, Generating function, Orthogonal functions, Function (mathematics), Electrical and Electronic Engineering, Halton sequence, Algorithm, Fourier series, Mathematics |
| الوصف: | In general, it is difficult to derive a finite sequence which minimizes the sidelobe of the autocorrelation function. However, it is shown that there exist the evenshift orthogonal sequences, i.e., the finite sequences for which the even-shift autocorrelation function takes the zero value. the generation method also is shown. On the other hand, there has not been known the general method for generating the odd-shift orthogonal sequences, for which the odd-shift autocorrelation takes the zero value. Neither have the properties of such sequences been analyzed. This paper presents the general method for deriving the odd-shift orthogonal sequences, using the complex function as the generating function and constructing the numerical sequence from the Fourier expansion coefficients. First, the one- and two-dimensional odd-shift orthogonal complex sequences and odd-shift orthogonal real sequences are defined from their autocorrelation functions. Then, it is shown that those numerical sequences are odd-shift orthogonal sequences if they are skew-symmetrical sequences. Finally, the properties of the generating functions that derive those odd-shift orthogonal sequences are shown, together with the generation algorithm. |
| تدمد: | 1520-6440 1042-0967 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::1c2d9327133747c0ca07f7bab3a1ddde https://doi.org/10.1002/ecjc.4430780103 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........1c2d9327133747c0ca07f7bab3a1ddde |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15206440 10420967 |
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