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New Phase of Phase

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Abstract

Year 2021 is special. It sees the renaissance of concept of phase and the birth of a phase theory for matters much beyond complex numbers and single-input single-output (SISO) linear time-invariant (LTI) systems while we celebrate the 60th birthday of Lei Guo, an exemplary research leader of our times. Here we give a short tutorial of the newly developed phase theory, as a birthday present.

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Acknowledgements

The authors would like to thank all other team members in the phase theory team: Chao Chen, Xin Mao, Qiangsheng Gao, Ding Zhang, Jiajin Liang of Hong Kong University of Science and Technology, Axel Ringh of University of Gothenburg, Di Zhao of Tongji University, independent researcher Sei Zhen Khong for their contributions in various aspects of the phase theory research.

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Authors and Affiliations

  1. Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China

    Li Qiu & Dan Wang

  2. Peking University & Beijing Innovation Center for Engineering Science and Advanced Technology, Beijing, 100871, China

    Wei Chen

Authors
  1. Li Qiu
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  2. Wei Chen
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  3. Dan Wang
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Corresponding authors

Correspondence to Li Qiu, Wei Chen or Dan Wang.

Additional information

This research was supported by Hong Kong Research Grants Council under Grant No. 16200619 and National Natural Science Foundation of China under Grant No. 62073003.

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Qiu, L., Chen, W. & Wang, D. New Phase of Phase. J Syst Sci Complex 34, 1821–1839 (2021). https://doi.org/10.1007/s11424-021-1249-z

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  • DOI: https://doi.org/10.1007/s11424-021-1249-z

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