A novel range profile synthesis method for random hopping frequency radar

A random distribution over the bandwidth makes the random hopping frequency radar widely use in the synthetic wideband application as stepped-frequency radar. However, the traditional inverse fast Fourier transform is not able to achieve range compression due to the random modulation. In this paper, firstly, the echo of the random hopping frequency radar is derived, and an efficient range imaging method is proposed. Then, the range-velocity ambiguity function of random hopping frequency radar using correlation algorithm is depicted to reveal the coupling interrelationship of the range and Doppler. At last, Monte Carlo simulations are carried on to estimate the relation between side-lobe level and the number of frequencies. At the same time, the theoretical prediction formula provides a solid proof for it.