Theoretical aspects of radar imaging using stochastic waveforms

In this work, we develop the theory of radar imaging using stochastic wavef orms, such as random noise or chaotic signals. Specifically, we consider on e-dimensional (1-D) (range profiles) and two-dimensional (2-D) (range-Doppl er) radar imaging performed with a random signal radar, in which the transm it signals are assumed to be stationary random processes, We calculate the 1-D and 2-D point-spread functions as the expected value of the radar retur n. We show that the 2-D point-spread function is spatially invariant; howev er, the reduction in height and broadening of the mainlobe is small in the case of bandlimited noise, We also derive a formula that is useful in calcu lating the variance of the radar return under the assumption that the trans mit signal is real valued and Gaussian.