Skip to main content

Distributed Estimation of IIR System’s Parameters in Sensor Network by Multihop Diffusion LMS Algorithm

  • Conference paper
  • First Online:
Book cover Advances in Intelligent Computing and Communication

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 109))

Abstract

In literature, distributed LMS algorithm for finite impulse response (FIR) systems has been studied as it is stable inherently. But infinite impulse response (IIR) systems are used in wireless sensor network (WSN) based application. Hence, adaptive IIR filter is assumed at each sensor node to estimate the parameters in the network. Diffusion mode of cooperation among the sensor nodes is incorporated. By doing this, the probability of trapping in local minima, which is the major drawback in IIR system, is reduced if each node is well connected to more number of neighbors. But the connectivity is reduced in sparse sensor network. Therefore, IIR multihop diffusion LMS (DLMS) algorithm is incorporated to the sparse sensor network. It is seen from the results of simulation that 2-hop DLMS provides best results by providing least steady-state mean square error and mean square deviation with minimum number of iterations. In order to minimize the communication overhead, block LMS is proposed.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Li Y, Thai MTE (2008) Wireless sensor networks and applications. Springer

    Google Scholar 

  2. Sayed AH (2014) Adaptive networks. Proc IEEE 102(4):460–497

    Article  Google Scholar 

  3. Nayak M, Panigrahi T, Sharma R (2015) Distributed estimation using multi-hop adaptive diffusion in sparse wireless sensor networks. In: International Conference on Microwave, Optical and Communication Engineering (ICMOCE), Dec 2015, pp 318–321

    Google Scholar 

  4. Kong J-T, Lee J-W, Kim S-E, Shin S, Song W-J (2017) Diffusion LMS algorithms with multi combination for distributed estimation: formulation and performance analysis. Dig Signal Proc 71(Supplement C), 117–130

    Google Scholar 

  5. Cattivelli FS, Sayed AH (2010) Diffusion LMS strategies for distributed estimation. IEEE Trans Signal Process 58(3):1035–1048

    Article  MathSciNet  Google Scholar 

  6. Panigrahi T, Pradhan PM, Panda G, Mulgrew B (2012) Block least-mean square algorithm over distributed wireless sensor network. J Comput Netw Commun., vol. 2012, Hindawi Publishing Corporation

    Google Scholar 

  7. Shynk JJ (1989) Adaptive IIR filtering. IEEE ASSP Mag 6(2):4–21

    Article  Google Scholar 

  8. Agrawal N, Kumar A, Bajaj V, Singh GK (2017) High order stable infinite impulse response filter design using cuckoo search algorithm. Int J Autom Comput 14(5):589–602

    Article  Google Scholar 

  9. Hu W, Tay WP (2015) Multi-hop diffusion LMS for energy-constrained distributed estimation. IEEE Trans Signal Process 63(15):4022–4036

    Article  MathSciNet  Google Scholar 

  10. Jerew O, Blackmore K (2014) Estimation of hop count in multi-hop wireless sensor networks with arbitrary node densitym. Int J Wireless Mob Comput (IJWMC) 7(3):207–216

    Article  Google Scholar 

  11. Schizas I, Mateos G, Giannakis G (2009) Distributed LMS for consensus-based in-network adaptive processing. IEEE Trans Signal Process 57(6):2365–2382

    Article  MathSciNet  Google Scholar 

  12. Nedic A, Ozdaglar A (2009) Distributed subgradient methods for multi-agent optimization. IEEE Trans Autom Control 54(1):48–61

    Article  MathSciNet  Google Scholar 

  13. Khalili, Rastegarnia A (2016) Tracking analysis of augmented complex least mean square algorithm. Int J Adapt Control Signal Proc 30(1):106–114

    Article  MathSciNet  Google Scholar 

  14. Arablouei R, Werner S, Huang Y-F, Dogancay K (2014) Distributed least mean-square estimation with partial diffusion. IEEE Trans Signal Process 62(2):472–484

    Article  MathSciNet  Google Scholar 

  15. Gharehshiran ON, Krishnamurthy V, Yin G (2013) Distributed energy-aware diffusion least mean squares: game-theoretic learning. IEEE J Select Top Signal Proc 7(5):821–836

    Article  Google Scholar 

  16. Xiao L, Boyd S, Lall S (2005) A scheme for robust distributed sensor fusion based on average consensus. In: Proceedings of 4th international symposium on information processing in sensor networks, Loss Angles, CA, pp. 63–70, Apr 2005

    Google Scholar 

  17. Scarpiniti M, Comminiello D, Parisi R, Uncini A (2015) Nonlinear system identification using IIR spline adaptive filters. Signal Process 108:30–35

    Article  Google Scholar 

  18. Majhi B, Panda G (2013) Distributed and robust parameter estimation of IIR systems using incremental particle swarm optimization. Dig Signal Proc 23(4):1303–1313

    Article  MathSciNet  Google Scholar 

  19. Panda G, Mulgrew B, Cowan CFN (1986) A self-orthogonalizing efficient block adaptive filter. IEEE Trans Acoust Speech, Signal Process 34(6): 1573–1582, Dec 1986

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Meera Dash .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Dash, M., Panigrahi, T., Sharma, R. (2020). Distributed Estimation of IIR System’s Parameters in Sensor Network by Multihop Diffusion LMS Algorithm. In: Mohanty, M., Das, S. (eds) Advances in Intelligent Computing and Communication. Lecture Notes in Networks and Systems, vol 109. Springer, Singapore. https://doi.org/10.1007/978-981-15-2774-6_3

Download citation

Publish with us

Policies and ethics