Radar ambiguity function is widely employed to analyze a radar system's time delay (range) resolution, Doppler frequency (range rate) resolution, mainlobe width and sidelobes in both range and Doppler. In this paper, ambiguity functions of frequency diverse array (FDA) which offers range-angle dependent transmit beampattern and Phased array which yields angle transmit beampattern is investigated. The FDA and Phased array radar ambiguity function is derived and evaluate its performance characteristics in terms of time-delay and Doppler frequency resolutions. Performance analysis has also been done in terms of empirical cumulative distribution function (ECDF). Simulation and results have verified the effectiveness of both radar systems by comparing their performance characteristics.