Skip to main content

FPGA Implementation of Optimal PN_Sequences by Time_Multiplexing Technique

  • Conference paper
  • First Online:
Advances in Engineering Research and Application (ICERA 2019)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 104))

Included in the following conference series:

Abstract

In this paper, FPGA implementation of a LFSR and PSEUDO_NOISE(PN) sequences are designed and carried out for many purposes. The motivation for that is multifold: LFSR and related PN sequences are indispensable building blocks not only for cipher sequence used in cryptography, steganography but also for BIST (build in self test system), scrambler. There have been a lot of attempts to develop specific circuit and sequences for these applications. However, the interleaving approach renders the optimal products in term of sequences length, statistical properties (distributions, autocorrelation function(ACF) and linear complexity (LC). It will be shown that the Interleaving structure can be easily expressed in time-multiplexing technique (namely Delay operation-D-transform). The equivalence between the D-transform and other well-known methods will be also highlighted in this contribution. Furthermore, the interleaving structure with outstanding LC will be given.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Chi, Q.L., et al.: A hardware oriented method to generate and evaluate nonlinear interleaved sequences with desired properties. J. Inf. Eng. Appl. 6(7), 1–12 (2016)

    Google Scholar 

  2. Hieu, L.M., Quynh, L.C.: Design and analysis of sequences with interleaved structure by D-Transform. IETE J. Res. 51, 61–67 (2005)

    Article  Google Scholar 

  3. He, J.: Interleaved sequences over Finite Field PhD thesis Carleton University Ottawa, Ontario (2013)

    Google Scholar 

  4. Stroud, C.E.: A Designer’s Guide to Built-In Self-Test. Kluwer Academic Publisher (2002)

    Google Scholar 

  5. Zhang (Marvell), J.: EPOC scrambler EEE 802.3bn EPoC TF Meeting November, pp. 1–14 (2013)

    Google Scholar 

  6. Meng, R., Yan, T.: New constructions of binary interleaved sequences with low autocorrelation. Int. J. Netw. Secur. 19(4), 546–550 (2017)

    Google Scholar 

  7. Solomon, S., Gong, G.: Signal Design for Good Correlation for Wireless Communication, Cryptography. Cambridge University (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dao Huy Du .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Son, N.V., Quynh, L.C., Kien, T.V., Du, D.H., Hoa, D.K. (2020). FPGA Implementation of Optimal PN_Sequences by Time_Multiplexing Technique. In: Sattler, KU., Nguyen, D., Vu, N., Tien Long, B., Puta, H. (eds) Advances in Engineering Research and Application. ICERA 2019. Lecture Notes in Networks and Systems, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-030-37497-6_44

Download citation

Publish with us

Policies and ethics