Skip to main content
Log in

A new synthesis filter for filter bank systems with transmission delay

  • Published:
Annals of Telecommunications Aims and scope Submit manuscript

Abstract

In this paper, a new synthesis filter is designed for filter bank systems with transmission delay by adapting random time delay or data-missing situations in the communication network. Firstly, we formulate a mathematical description of the data transmission delay and a measurement model. Secondly, the state model and the measurement model are adapted into new forms by expanding their dimensions. In this way, non-white noise can be converted to white noise, which can be dealt with using standard Kalman filtering. Thirdly, a dimensionality reduction method is proposed to overcome the complexity generated by expanding dimensions, and then a synthesis filter is designed with dimensions equal to those of the original system. Finally, a simulation is presented to demonstrate the effectiveness and the advantages of the proposed method.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Chenglin Wen, Donghua Zhou. Multi-scale estimation theory and its application [M], Tsinghua University press

  2. Wen T, Ge Q-b (2012) Research on real-time block Kalman filtering estimation methods for the un-modeled system based on output measurement [J]. Chin J Electron 40(10):1958–1964

    MathSciNet  Google Scholar 

  3. Xu L-z, Feng X-l, Wen C-l (2014) Sequential fusion filtering for networked multi-sensor systems based on noise estimation [J]. Chin J Electron 42(1):160–167

    Google Scholar 

  4. Wen C, Wang Z, Liu Q et al (2016) Recursive distributed filtering for a class of state-saturated systems with fading measurements and quantization effects. IEEE Transactions on Systems, Man, and Cybernetics: Systems 99:1–12

    Google Scholar 

  5. Lin C-W, Chen B-S (1995) State space model and noise filtering design in transmultiplexer systems [J]. Signal Process 43(1):65–78

    Article  MATH  Google Scholar 

  6. Chen B-S, Lin C-W, Chen Y-L (1995) Optimal signal reconstruction in noisy filter bank systems: multirate Kalman synthesis filtering approach [J]. IEEE Trans Signal Process 43(11):2496–2504

    Article  Google Scholar 

  7. Chen B-S, Hou W-S (1997) Deconvolution filter design for fractal signal transmission systems: a multiscale kalman fiter bank approach [J]. IEEE Trans Signal Process 45(5):1359–1363

    Article  Google Scholar 

  8. Chen B-S, Chen L-M (2000) Optimal reconstruction in multirate transmultiplexer systems under channel noise: winner separation filtering approach [J]. Signal Process 80:637–657

    Article  MATH  Google Scholar 

  9. Chen B-S, Tsai C-L, Chen Y-F (2001) Mixed H 2 /H filtering design in multirate transmultiplexer systems: LMI approach [J]. IEEE Trans Signal Process 49(11):2693–2701

    Article  Google Scholar 

  10. Shao Yu, Chip-Hong Chang. A Kalman filter based on wavelet filter-bank and psychoacoustic modeling for speech enhancement. Circuits and systems [J]. IEEE International Symposium on Circuits and Systems, Kos, Greece, May 2006: 121–124

  11. Chang D-C, Wu W-R (2001) Maneuvering target tracking with high-order correlated noise—a multirate Kalman filtering approach [J]. Wirel Pers Commun 17:103–123

    Article  Google Scholar 

  12. Chai L, Zhang J, Zhang C et al (2007) Frame-theory-based analysis and design of oversampled filter banks: direct computational method [J]. IEEE Trans Signal Process 55(2):507–519

    Article  MathSciNet  Google Scholar 

  13. Yang X-d, Wen C-l, Liu R-l (2008) Noise filtering design for a class of transmultiplexer system [J]. Journal of Hangzhou Dianzi University 28(3):67–71

    Google Scholar 

  14. Wahls S, Boche H (2010) Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks [J]. IEEE Trans Signal Process 58(6):3008–3016

    Article  MathSciNet  Google Scholar 

  15. Rahimi S, Champagne B (2013) Oversampled perfect reconstruction DFT modulated filter banks for multi-carrier transceiver systems [J]. Signal Process 93:2942–2955

    Article  Google Scholar 

  16. Kai S, Xiang J, Ling Z et al (2014) Time-domain modified DFT modulated filter banks for multi-carrier transceiver systems [J]. The Journal of China Universities of Posts and Telecommunications 21(2):57–62

    Article  Google Scholar 

  17. Bindiya TS, Elias E (2015) Design of totally multiplier-less sharp transition width tree structured filter banks for non-uniform discrete multitone system [J]. Int J Electron Commun 69:655–665

    Article  Google Scholar 

  18. Li P, Yan Y, Guo Y (2015) Modified IFIR-NPR design of prototype filter [J]. Journal of Chongqing University of Posts and Telecommunications (Natural Science Edition) 27(2):197–203

    Google Scholar 

  19. Li XR, Zhu Y, Wang J, Han C (2003) Optimal linear estimation fusion. I. Unified fusion rules. IEEE Trans Inf Theory 49(9):2192–2208

    Article  MATH  Google Scholar 

  20. Wang W, Li D, Jiang L (2016) Best linear unbiased estimation algorithm with Doppler measurements in spherical coordinates. J Syst Eng Electron 27(1):128–139

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China, No. 61503123, U1504616 and sponsored by the Program for Science & Technology Innovation Talents in Universities of Henan Province under Grant 17HASTIT021.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chenglin Wen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, L., Wen, C. A new synthesis filter for filter bank systems with transmission delay. Ann. Telecommun. 72, 483–490 (2017). https://doi.org/10.1007/s12243-017-0573-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12243-017-0573-8

Keywords

Navigation