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Efficient Detection of Chirp Signals Based on the Fourth-Order Origin Moment of Fractional Spectrum

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Abstract

A novel detection algorithm for chirp signals based on the fourth-order origin moment of fractional spectrum (OMFrS) is presented. The fourth-order OMFrS of a chirp signal in discrete form is first deduced. By using the rough search result and the symmetric property of the fourth-order OMFrS of the chirp signal, the difference between the theoretical optimal transform angle and the detected result is calculated, and a more accurate estimation is obtained. Compared to the existing one-step search and two-step search methods, the proposed algorithm achieves better accuracy with high detection speed. Simulation results were given to prove the advantages of this new approach.

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Acknowledgement

The authors would like to thank Dr. Bu-Chin Wang for his help in improving this work. They also thank the reviewers for their constructive comments and suggestions. This work is supported by the National Natural Science Fund of China under Grant No. 60872003 and No. 61172056, the Doctoral Fund of the Ministry of Education of China under Grant No. 20093201110005, and the Foundation of Chinese National Defense Technology Key Laboratory under Grant No. 9140C1301031001.

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Soochow University, Suzhou, 215006, P.R. China

    Rong Chen & Yiming Wang

  2. National Laboratory of Information Control Technology for Communication System, Jiaxing, 314001, P.R. China

    Rong Chen & Yiming Wang

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  1. Rong Chen
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  2. Yiming Wang
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Correspondence to Yiming Wang.

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Chen, R., Wang, Y. Efficient Detection of Chirp Signals Based on the Fourth-Order Origin Moment of Fractional Spectrum. Circuits Syst Signal Process 33, 1585–1596 (2014). https://doi.org/10.1007/s00034-013-9700-6

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  • DOI: https://doi.org/10.1007/s00034-013-9700-6

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