Abstract：A fast algorithm based on the effective FrFT is proposed to realize the detection and parameter estimation of Linear Frequency Modulation (LFM) signal, since the traditional algorithms have a great computational burden. The effective FrFT is first analyzed, and pointed out to have problems in choosing the rotation angles, being easily affected by initial frequency, and poor anti-noise performance. Faced with the above problems, a modified power spectrum smooth filtering method is used to improve the effective FrFT algorithm. The theoretical analysis indicates that the proposed method based on effective FrFT can realize the detection and parameter estimation of LFM signal in low SNR condition with only three rotation angles. Furthermore, the computational cost is greatly reduced under the guarantee of the same parameter estimation accuracy compared to traditional FrFT. The simulation results verify the effectiveness of the proposed algorithm.
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