Wideband ambiguity matrix of LFM-signals used in polarimetric radar allowing simultaneous measurement of scattering matrix elements

A pair of concurrent up- and down-going Linear Frequency Modulated (LFM) wideband signals is used in a polarimetric radar allowing simultaneous measurement of all scattering matrix elements. In wideband LFM radar the ambiguity function for a selected polarization at transmit and receive and presented in the delay time versus Doppler frequency coordinate system shows a skewness. This skewness affects the accuracies in object range and velocity. The ambiguity matrix in wideband multi-polarization LFM radar can be used to study for the different orthogonal polarization states the impact of this shortcoming connected to this skewness. In this paper the wideband ambiguity matrix is generalized. We define the time scaling so that in the ambiguity matrix the consequences of skewness are minimized. We show simulation results to demonstrate the improved potentials of this newly-defined wideband ambiguity matrix approach. The error in range (time delay) measurements for fast moving radar target becomes minimal.