Coherent Processing Method for Frequency Agile Radar

Coherent processing of frequency agile waveform can cause underdetermined estimation problems. Traditional matched filtering results in high sidelobes covering weak targets, which unable to satisfy the high-precision requirements of radar. This paper proposes a coherent processing method based on low-rank matrix completion to solve the underdetermined estimation problem for frequency agile waveform coherent processing. Firstly, this method formulates a model for the frequency agile waveform echo signal and represents it using a sparse observation matrix in the frequency domain. To ensure the low-rank of sparse observation matrix, we reconstruct the observation matrix into dual Hankel configurations. Then, the sparse observation matrix is efficiently reconstructed using matrix completion method based on Alternating Direction Multiplier Method, resolving the underdetermined estimation challenges arisen from coherent processing of frequency agile waveform. Finally, by means of simulation experiments, the effectiveness and feasibility of the proposed method based on matrix completion was validated.