Abstract
The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coefficients (except the zero) appear almost the same in number, thus, the proposed sequence is so called the well balanced sequence. This paper experimentally describes some prominent features regarding a sequence, for instance, its period, autocorrelation, and cross-correlation. The value of the autocorrelation and cross-correlation can be explicitly given by the authors formulated theorems. In addition, to ensure the usability of the proposed multi-value sequence, the authors introduce its flexibility by making it a binary sequence. Furthermore, this paper also introduces a comparison in terms of the linear complexity and distribution of bit patterns properties with their previous works. According to the comparison results, the proposed sequence holds better properties compared to our previous sequence.
| Original language | English |
|---|---|
| Pages (from-to) | 188-196 |
| Number of pages | 9 |
| Journal | Advances in Science, Technology and Engineering Systems |
| Volume | 4 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jan 1 2019 |
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Keywords
- Correlation
- Distribution of bit patterns
- Linear complexity
- Power residue symbol
- Pseudo random sequence
- Trace function
ASJC Scopus subject areas
- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)
- Management of Technology and Innovation
Cite this
Well Balanced Multi-value Sequence and its Properties over Odd Characteristic Field. / Arshad Ali, M.; Kodera, Yuta; Fazle Rabbi, M.; Kusaka, Takuya; Nogami, Yasuyuki; Uehara, Satoshi; Morelos-Zaragoza, Robert H.
In: Advances in Science, Technology and Engineering Systems, Vol. 4, No. 4, 01.01.2019, p. 188-196.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Well Balanced Multi-value Sequence and its Properties over Odd Characteristic Field
AU - Arshad Ali, M.
AU - Kodera, Yuta
AU - Fazle Rabbi, M.
AU - Kusaka, Takuya
AU - Nogami, Yasuyuki
AU - Uehara, Satoshi
AU - Morelos-Zaragoza, Robert H.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coefficients (except the zero) appear almost the same in number, thus, the proposed sequence is so called the well balanced sequence. This paper experimentally describes some prominent features regarding a sequence, for instance, its period, autocorrelation, and cross-correlation. The value of the autocorrelation and cross-correlation can be explicitly given by the authors formulated theorems. In addition, to ensure the usability of the proposed multi-value sequence, the authors introduce its flexibility by making it a binary sequence. Furthermore, this paper also introduces a comparison in terms of the linear complexity and distribution of bit patterns properties with their previous works. According to the comparison results, the proposed sequence holds better properties compared to our previous sequence.
AB - The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coefficients (except the zero) appear almost the same in number, thus, the proposed sequence is so called the well balanced sequence. This paper experimentally describes some prominent features regarding a sequence, for instance, its period, autocorrelation, and cross-correlation. The value of the autocorrelation and cross-correlation can be explicitly given by the authors formulated theorems. In addition, to ensure the usability of the proposed multi-value sequence, the authors introduce its flexibility by making it a binary sequence. Furthermore, this paper also introduces a comparison in terms of the linear complexity and distribution of bit patterns properties with their previous works. According to the comparison results, the proposed sequence holds better properties compared to our previous sequence.
KW - Correlation
KW - Distribution of bit patterns
KW - Linear complexity
KW - Power residue symbol
KW - Pseudo random sequence
KW - Trace function
UR - http://www.scopus.com/inward/record.url?scp=85071598700&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85071598700&partnerID=8YFLogxK
U2 - 10.25046/aj040423
DO - 10.25046/aj040423
M3 - Article
AN - SCOPUS:85071598700
VL - 4
SP - 188
EP - 196
JO - Advances in Science, Technology and Engineering Systems
JF - Advances in Science, Technology and Engineering Systems
SN - 2415-6698
IS - 4
ER -