Skip to main content

System Model and Channel Sparsification

  • Chapter
  • First Online:
  • 250 Accesses

Part of the book series: SpringerBriefs in Electrical and Computer Engineering ((BRIEFSELECTRIC))

Abstract

In C-RAN, only a small fraction of the entries in the channel matrix have reasonably large amplitudes, because a user is only close to a small number of RRHs in its neighborhood, and vice versa. Thus, ignoring the small entries in the channel matrix would significantly sparsify the matrix, which can potentially lead to significant reduction in the computational complexity and channel estimation overhead. The question is to what extent can the channel matrix be sparsified without substantially compromising the system performance. In this chapter, we attempt to address this question. In particular, we propose a threshold-based channel matrix sparsification method, where the matrix entries are ignored according to the distance between the users and RRHs. We derive a closed-form expression describing the relationship between the threshold and the SINR loss due to channel spasification. The analysis serves as a convenient guideline to set the threshold subject to a tolerable SINR loss.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.99
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

Learn about institutional subscriptions

Notes

  1. 1.

    Theorem 2.2 still holds even when ζ is an odd integer. We omit the details here to save space.

References

  1. C. Fan, Y. J. Zhang, and X. Yuan, “Dynamic nested clustering for parallel PHY-layer processing in cloud-RANs,” IEEE Transactions on Wireless Communications, vol. 15, no. 3, pp. 1881–1894, 2016.

    Article  Google Scholar 

  2. D. Moltchanov, “Distance distributions in random networks,” Ad Hoc Networks, vol. 10, no. 6, pp. 1146–1166, Mar. 2012.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhang, YJ.A., Fan, C., Yuan, X. (2019). System Model and Channel Sparsification. In: Scalable Signal Processing in Cloud Radio Access Networks. SpringerBriefs in Electrical and Computer Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-15884-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-15884-2_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-15883-5

  • Online ISBN: 978-3-030-15884-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics