Range profile synthesis for stepped chirps via multichannel blind deconvolution

Stepped chirp signal is widely employed in high resolution radar systems. Conventional spectrum reconstruction methods are sensitive to system errors. In this paper, a novel range profile synthesis algorithm is proposed based on multichannel blind deconvolution (MBD) theory. The received signals are modelled as the outputs of a series of linear time-invariant (LTI) systems with a common unknown input. In the presence of system errors, the impulse responses of the LTI systems are also unknown. Thus, range profile synthesis is formulated as a MBD problem. Regularizations are introduced to solve the ill-posedness. Alternating optimization method is used to solve the problem. Simulation results show that the proposed method is able to provide accurate range profile estimations.