Kernel Design of bilinear TFD for multiple LFM signals with unbalanced amplitudes

This paper presents a novel method for kernel design of a bilinear time frequency distribution (TFD) for multiple linear frequency modulated (LFM) signals with unbalanced amplitudes. The kernel is constructed from the product ambiguity function (AF), which suppresses cross terms and noise in the ambiguity domain. An algorithm is developed to determine the angles and distances of the radically distributed contents of the auto terms in the ambiguity domain. To reduce the residual signals and error propagation effect, an iterative approach is implemented. Simulation results validate the method and demonstrate cross terms and noise suppression and high resolution in the time frequency domain