A new LFM-signal detector based on fractional Fourier transform

  • Authors:
  • Zhiping Yin;Weidong Chen

  • Affiliations:
  • Department of Electronic Engineering and Information Science, University of Science and Technology of China, HeFei, AnHui, China;Department of Electronic Engineering and Information Science, University of Science and Technology of China, HeFei, AnHui, China

  • Venue:
  • EURASIP Journal on Advances in Signal Processing - Special issue on applications of time-frequency signal processing in wireless communications and bioengineering
  • Year:
  • 2010

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Abstract

A new LFM-signal detector formulated by the integration of the 4th-power modulus of the fractional Fourier transform is proposed. It has similar performance to the modulus square detector of Radon-ambiguity transform because of the equivalence relationship between them. But the new detector has much lower computational complexity in the case that the number of the searching angles is far less than the length of the signal. Moreover, it is proved that the new detector can be generalized to the integration of the nth-power (2 ≶ n) modulus of the fractional Fourier transform via mathematical derivation. Computer simulation results have confirmed the effectiveness of the proposed detector in LFM-signal detection.