Method and system for phaseless passive synthetic aperture radar imaging

A system for Radio Detection And Ranging (Radar) image reconstruction, the method comprising:

• a memory storing instructions;
• one or more communication interfaces;
• and
• one or more hardware processors coupled to the memory via the one or more communication interfaces, wherein the one or more hardware processors are configured by the instructions to:
• transmit a plurality of signal of opportunity on to a scene of interest via a transmitter;
• receive a plurality of Passive Synthetic Aperture Radar (PSAR) imaging signals back scattered from the scene of interest via a mobile receiver;
• generate a plurality of Fourier transform PSAR imaging signals by representing the plurality of PSAR imaging signals into frequency domain using a fast-time Fourier transform by employing start-stop and born scattering approximations;
• perform an auto-correlation function on to the plurality Fourier transform PSAR imaging signals to obtain a phaseless measurement data corresponding to the plurality of PSAR imaging signals;
• represent the phaseless measurement data corresponding to each of the plurality of PSAR imaging signals with respect to an actual location of the transmitter;
• discretize the scene of interest corresponding to the phaseless measurement data of each of the plurality of PSAR imaging signals into a plurality of small cells with a predefined frequency and measurement intervals to generate a discretized data;
• formulate an optimization problem for the discretized data to estimate a plurality of reflectivities (ρ);
• convert an optimization problem to a constrained optimization problem by using variable splitting approach;
• derive an Augmented Lagrangian, corresponding to the constrained optimization problem;
• divide Augmented Lagrangian corresponding to the constrained optimization problem into subproblems as a first sub problem and a second subproblem;
• obtain the plurality of reflectivities (ρ) by solving the first subproblem and the second subproblem;
• and
• obtain a plurality of reconstructed Phaseless Passive Synthetic Aperture Radar (PPSAR) image signals from the obtained plurality of reflectivities.

One or more non-transitory machine-readable information storage mediums comprising one or more instructions which when executed by one or more hardware processors cause:

• transmitting, via a transmitter, a plurality of signal of opportunity, on to a scene of interest;
• receiving, via a mobile receiver, a plurality of Passive Synthetic Aperture Radar (PSAR) imaging signals back scattered from the scene of interest;
• generating, a plurality of Fourier transform PSAR imaging signals, by representing, the plurality of PSAR imaging signals into frequency domain using a fast-time Fourier transform, by employing start-stop and born scattering approximations;
• performing, an auto-correlation function, on to the plurality Fourier transform PSAR imaging signals, to obtain a phaseless measurement data corresponding to the plurality of PSAR imaging signals;
• representing, the phaseless measurement data corresponding to each of the plurality of PSAR imaging signals with respect to an actual location of the transmitter;
• discretizing, the scene of interest corresponding to the phaseless measurement data of each of the plurality of PSAR imaging signals, into a plurality of small cells (N), with a predefined frequency and measurement intervals, to generate a discretized data;
• formulating, an optimization problem, for the discretized data, to estimate a plurality of reflectivities (ρ);
• converting, the optimization problem, to a constrained optimization problem, by using a variable splitting approach;
• deriving, an Augmented Lagrangian, corresponding to the constrained optimization problem;
• dividing, the Augmented Lagrangian corresponding to the constrained optimization problem into subproblems comprising a first sub problem and a second subproblem;
• obtaining, the plurality of reflectivities (ρ), by solving the first subproblem and the second subproblem;
• and
• obtaining, a plurality of reconstructed Phaseless Passive Synthetic Aperture Radar (PPSAR) image signals from the obtained plurality of reflectivities.