Coherent Estimation of Three Positioning Measurements for Unknown Frequency-Hopping Signals in Passive Emitter Localization

  • Zhixin Liu
  • Dexiu HuEmail author
  • Yongjun Zhao
  • Rui Wang


Due to the superior anti-interception performance and inherent security features, the wide applications of frequency-hopping (FH) signals bring a great challenge to the reconnaissance and monitoring of FH emitters. This paper addresses the problem of positioning measurement estimation for unknown FH signals in passive localization, considering the range migration (RM) and Doppler frequency migration (DFM) of the maneuvering target within the observation time. A coherent range difference (RD), range rate difference (RRD) and acceleration difference (AD) estimation algorithm based on scaled Fourier transform and scaled non-uniform fast Fourier transform is proposed. This method can effectively remove RM and random DFM effects regardless of varied carrier frequency and achieve the coherent estimation of RD, RRD and AD. The whole estimation process can be easily implemented by complex multiplications combined with fast Fourier transform (FFT) and inverse FFT operations without any brute-force searching procedure. Numerical experiments demonstrate that the anti-noise performance of the proposed method is superior to several representative methods and comparable to the optimal maximum likelihood estimator with a much lower computational cost.


Frequency-hopping signals Passive localization Range difference Range rate difference Acceleration difference 



Range difference


Range rate difference


Acceleration difference


Linear range migration


Quadratic range migration


Doppler frequency migration


Frequency symmetric autocorrelation function


Scaled Fourier transform


Scaled non-uniform fast Fourier transform



The authors would like to thank the editorial board and anonymous reviewers for their careful reading and constructive comments which provide an important guidance for our paper writing and research work. This work was supported by the National Natural Science Foundation of China under Grant 61703433.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.PLA Strategic Support Force Information Engineering UniversityZhengzhouChina

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