Three new constructions of asymptotically optimal periodic quasi-complementary sequence sets with small alphabet sizes
Quasi-complementary sequence sets (QCSSs) play an important role in multi-carrier code-division multiple-access (MC-CDMA) systems. They can support more users than perfect complementary sequence sets in MC-CDMA systems. It is desirable to design QCSSs with good parameters that are a trade-off o...
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| Main Authors: | , , , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2021
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/147219 |
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| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | Quasi-complementary sequence sets (QCSSs) play
an important role in multi-carrier code-division multiple-access
(MC-CDMA) systems. They can support more users than perfect
complementary sequence sets in MC-CDMA systems. It is desirable
to design QCSSs with good parameters that are a trade-off
of large set size, small periodic maximum magnitude correlation
and small alphabet size. The main results are to construct new
infinite families of QCSSs that all have small alphabet size and
asymptotically optimal periodic maximum magnitude correlation.
In this paper, we propose three new constructions of QCSSs using
additive characters over finite fields. Notably, these QCSSs have
new parameters and small alphabet sizes. Using the properties
of characters and character sums, we determine their maximum
periodic correlation magnitudes and prove that these QCSSs are
asymptotically optimal with respect to the lower bound. |
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