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A new synthesis filter for filter bank systems with transmission delay

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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.

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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.

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Authors and Affiliations

  1. College of Electrical Engineering, Henan University of Technology, Zhengzhou, China

    Lan Wu & Chenglin Wen

  2. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, China

    Chenglin Wen

Authors
  1. Lan Wu
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  2. Chenglin Wen
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Correspondence to Chenglin Wen.

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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

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

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