Abstract: In order to derive the performance of the ambiguity function in the linear canonical transform (LCT) domain algorithm for parameters estimation of quadratic modulated frequency (QFM) signal, the feasibility of the algorithm in noisy environment was discussed at first and the signal to noise radio (SNR) threshold was analyzed by simulation experiments. The advantages of the algorithm were given out as well. The product ambiguity function in the LCT domain was proposed in order to further improve the estimation precision of the QFM signal. Theory analysis and simulation experiments show that the algorithm has good estimation performance in low SNR. And the mean square error (MSE) of each parameter is more and more close to its Cramer-Rao lower bound with the increase of the SNR. The algorithm can estimate three parameters at one time, so it has high efficiency and small error transmission.