An adaptive-kernel design method based on ambiguity domain

In bilinear time-frequency distributions (TFD), cross-terms resulting from multi-components are suppressed by choosing or designing appropriate kernels. With years of study, signal-adaptive kernels are becoming more promising for time-frequency analysis of different kinds of signals than fixed ones. An adaptive-kernel design method is proposed with respect to LFM (linear frequency-modulated) signals by use of signal ambiguity functions. The estimation of adaptive parameters is discussed, and its corresponding time-frequency distribution called adaptive exponential distribution (AED) is analyzed. Computer simulation with synthetic data shows satisfactory effect of AED in suppressing cross-terms and preserving good resolution of signal-terms