Abstract: In this paper, a fast method for parameters estimation of the multi-component linear frequency modulated (multi-LFM) signal is proposed. The proposed algorithm reduces two-dimensional searches, widely used in the time-frequency based method, FrFT and Chirp Fourier transform, into two one-dimensional searches. With utilizing the discrete FrFT along with Fast Fourier Transform (FFT) algorithm, the proposed method is a computationally fast alternative for LFM signal detection and parameters estimation. Analysis of the multi-LFM signal is performed using the Clean technique. Finally, computer simulations are provided to illustrate performances of the proposed algorithm.