Abstract:

A new approach based on pseudo instantaneous correlation function sandglass transform (PICF-SGT) is presented for quadratic frequency modulation (QFM) signals detection and parameters estimation. The PICF-SGT can decouple the time and square of lag time in the pseudo instantaneous correlation function of the QFM. Thus, the coherent integration for signal terms and effective suppression for cross terms can be achieved. In addition, the estimation for the chirp rate and quadratic chirp rate of QFM signals is obtained at the same time. A detailed analysis on the implement of the PICF-SGT, the interpolation error, signal focusing characteristic and the distribution of cross terms is made. And then a modified criterion of scaling factor selection is discussed. Simulation results verify the effectiveness of the proposed method.