Time-frequency analysis of a complicated Doppler signal with two figure eight kernels

A Cohen´s class time-frequency analysis has high resolution on the TF plane both in time and in frequency. A complicated (nonstationary and/or nonlinear) Doppler signal was obtained from synthesized data. In order to analyze this signal, two kinds of figure eight kernels were used:(1) a figure eight kernel, and (2) a 2nd figure eight kernel. As well known conventional kernels, we used a Wigner kernel, and a Choi-Williams kernel. Using our figure eight kernels, the original signal was demodulated with high resolution. Furthermore, a 2nd figure eight kernel improved the demodulation accuracy.