A Novel Passive Synthetic Aperture Radar using Ultra-Narrowband Sources of Opportunity

In this paper we present a novel synthetic aperture radar imaging modality that uses ultra-narrowband sources of opportunity and passive airborne receivers to form an image of the ground. Due to its combined passive synthetic aperture and high Doppler resolution of the transmitted waveforms, we refer to this modality as the Doppler Synthetic Aperture Hitchhiker (DSAH) or Doppler-hitchhiker for short. Our imaging method first correlates the windowed signal obtained from one receiver with the scaled and translated version of the received signal in another window from the same or another receiver. We show that this correlation processing removes the transmitter-related variables from the phase of the resulting operator that maps the radiance of the scene to the correlated signals. We define a concept of passive Doppler-scale factor using the radial velocities of the receivers. Next, we show that the scaled, translated and correlated signal is the projection of the scene radiance onto the contours that are formed by the intersection of the surfaces of constant passive-Doppler scale factor and ground topography. We use microlocal analysis to design a generalized filtered-backprojection operator to reconstruct the scene radiance from its projections. Our analysis shows that the resolution of the reconstructed images improves with the increased time duration and center frequency of the transmitted ultra-narrowband signals. Our reconstruction method is analytic and therefore can be made computationally efficient. Furthermore, it easily accommodates arbitrary flight trajectories, non-flat topography and system related parameters. We present numerical simulations to demonstrate the performance of our imaging method.