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Multiple Spectrally Null Constrained Complete Complementary Codes of Various Lengths Over Small Alphabet (2403.10644v2)

Published 15 Mar 2024 in cs.IT and math.IT

Abstract: Complete complementary codes (CCCs) are highly valuable in the fields of information security, radar and communication. The spectrally null constrained (SNC) problem arises in radar and modern communication systems due to the reservation or prohibition of specific spectrums from transmission. The literature on SNC-CCCs is somewhat limited in comparison to the literature on traditional CCCs. The main objective of this paper is to discover several configurations of SNC-CCCs that possess more flexibility in their parameters. The proposed construction utilised the existing CCCs and mutually orthogonal sequences. The proposed construction can cover almost all lengths with the smallest alphabets ${-1,0,1}$. Further, the idea of SNC-CCC is extended to multiple SNC-CCC with an inter-set zero cross-correlation zone (ZCCZ). Based on our construction, we can also control the correlation value outside the ZCCZ. The beauty of the obtained codes have aperiodic and periodic inter-set ZCCZ and low cross-correlation side-lobs.

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References (34)
  1. Marcel J. E. Golay. Static multislit spectrometry and its application to the panoramic display of infrared spectra∗∗\ast∗. J. Opt. Soc. Am., 41(7):468–472, Jul 1951.
  2. M. Golay. Complementary series. IRE Transactions on Information Theory, 7(2):82–87, 1961.
  3. P. Spasojevic and C.N. Georghiades. Complementary sequences for ISI channel estimation. IEEE Trans. Inf. Theory, 47(3):1145–1152, 2001.
  4. Efficient MIMO channel estimation using complementary sequences. IET Communications, 1:962–969(7), October 2007.
  5. An uplink control channel design with complementary sequences for unlicensed bands. IEEE Trans. Wireless Commun., 19(10):6858–6870, 2020.
  6. Nam Yul Yu. Binary Golay spreading sequences and Reed-Muller codes for uplink grant-free NOMA. IEEE Trans. Commun., 69(1):276–290, 2021.
  7. Doppler resilient Golay complementary waveforms. IEEE Trans. Inf. Theory, 54(9):4254–4266, 2008.
  8. J.A. Davis and J. Jedwab. Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes. IEEE Trans. Inf. Theory, 45(7):2397–2417, 1999.
  9. Chin-Chong Tseng and C. Liu. Complementary sets of sequences. IEEE Trans. Inf. Theory, 18(5):644–652, 1972.
  10. Doppler tolerance, complementary code sets, and generalised thue–morse sequences. IET Radar, Sonar &Amp; Navigation, 10:1603–1610, 2016.
  11. Asynchronous detection and identification of multiple users by multi-carrier modulated complementary set of sequences. IEEE Access, 6:22054–22069, 2018.
  12. K.G. Paterson. Generalized Reed-Muller codes and power control in OFDM modulation. IEEE Trans. Inf. Theory, 46(1):104–120, 2000.
  13. Kai-Uwe Schmidt. Complementary sets, generalized Reed–Muller codes, and power control for OFDM. IEEE Trans. Inf. Theory, 53(2):808–814, 2007.
  14. A direct and generalized construction of polyphase complementary sets with low PMEPR and high code-rate for OFDM system. IEEE Trans. Commun., 68(10):6245–6262, 2020.
  15. N. Suehiro and M. Hatori. N-shift cross-orthogonal sequences. IEEE Trans. Inf. Theory, 34(1):143–146, 1988.
  16. Generalized complementary coded scrambling multiple access for MIMO communications. IEEE Trans. Veh. Technol., 70(12):13047–13061, 2021.
  17. A survey on complementary-coded MIMO CDMA wireless communications. IEEE Communications Surveys & Tutorials, 17(1):52–69, 2015.
  18. Construction of doppler resilient complete complementary code in MIMO radar. IEEE Trans. Signal Process., 62(18):4704–4712, 2014.
  19. A framework to construct three-dimensional complementary codes for multiuser MIMO systems. IEEE Trans. Veh. Technol., 64(7):2861–2874, 2015.
  20. New construction of multiple complete complementary codes with inter-set zero cross-correlation zone. IEEE Signal Process. Lett., 29:1958–1962, 2022.
  21. Multiple complete complementary codes with inter-set zero cross-correlation zone. IEEE Trans. Commun., 68(3):1925–1936, 2020.
  22. IEEE standard for wireless lan medium access control (MAC) and physical layer (PHY) specifications. IEEE Std 802.11-1997, pages 1–445, 1997.
  23. New complementary sets with low PAPR property under spectral null constraints. IEEE Trans. Inf. Theory, 66(11):7022–7032, 2020.
  24. OFDM pilot design for channel estimation with null edge subcarriers. IEEE Trans. Wireless Commun., 10(10):3145–3150, 2011.
  25. Omnidirectional precoding for massive MIMO with uniform rectangular array—part I: Complementary codes-based schemes. IEEE Trans. Signal Process., 67(18):4761–4771, 2019.
  26. A. Gavish and A. Lempel. On ternary complementary sequences. IEEE Trans. Inf. Theory, 40(2):522–526, 1994.
  27. A generic complementary sequence construction and associated encoder/decoder design. IEEE Trans. Commun., 69(11):7691–7705, 2021.
  28. Radar signals with ZACZ based on pairs of D-code sequences and their compression algorithm. IEEE Signal Process. Lett., 25(10):1560–1564, 2018.
  29. Constructions of spectrally null constrained complete complementary codes via the graph of extended boolean functions. IEEE Trans. Inf. Theory, 69(9):6028–6039, 2023.
  30. Construction of spectrally-null-constrained zero-correlation zone sequences with flexible support, 2023.
  31. New correlation bound and construction of Quasi-complementary sequence sets. IEEE Trans. Inf. Theory, 70(3):2201–2223, 2024.
  32. A direct construction of type-II Z complementary code set with arbitrarily large codes, 2023.
  33. New class of optimal Z-complementary code sets. IEEE Signal Processing Letters, pages 1–1, 2022.
  34. Constructions of non-contiguous complementary sequence sets and their applications. IEEE Trans. Wireless Commun., 21(7):4871–4882, 2022.

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