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Multicomponent Chirp Signal Detection Based on Discrete Chirp-Fourier Transform

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Abstract

This paper investigates the signal detection of multiple chirps based on the discrete chirp-Fourier transform (DCFT). The detection method based on signal energy is proposed and the detection performance is analyzed. Firstly, the relationship of signal energy in both the time and DCFT domain is analyzed. An important property is presented, that is, the total energy of the signal in the time domain is equal to the sum of energy along the direction of constant frequency in the DCFT domain. The detection decision threshold of the multicomponent chirp signal is derived in ideal noiseless environment. Secondly, by analyzing the characters of the additive independent identical distribution Gaussian white noise in the DCFT domain, the modified detection decision threshold of the multicomponent chirp signal is determined in noisy environment. Finally, the simulation results show the effectiveness of the proposed method.

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Acknowledgements

The authors would like to thank the reviewers for their detailed reviews and constructive comments, which have helped improve the quality of this paper. This research was supported by the National Natural Science Foundation of China under Grant No. 61271299,China Postdoctoral Science Foundation funded project under Grant No. 2014M562372 and the 111 Project under Grant No. B08038.

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Authors and Affiliations

  1. State Key Laboratory of Integrated Service Networks, Xidian University, Xi’an, Shaanxi, 710071, China

    Junfang Li, Bingbing Li & Mingqian Liu

  2. School of Electronic Engineering, Xidian University, Xi’an, Shaanxi, 710071, China

    Zixun Guo

  3. The National Research Institute of Radio Spectrum Management, Xi’an, Shaanxi, 710061, China

    Yongming Guo

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  1. Junfang Li
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  2. Bingbing Li
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  3. Zixun Guo
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  4. Mingqian Liu
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Correspondence to Mingqian Liu.

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Li, J., Li, B., Guo, Z. et al. Multicomponent Chirp Signal Detection Based on Discrete Chirp-Fourier Transform. Wireless Pers Commun 96, 4385–4397 (2017). https://doi.org/10.1007/s11277-017-4392-z

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