High-resolution radar images in the horizontal spatial domain generally require a large number of different baselines that usually come with considerable cost. In this paper, aspects of compressed sensing (CS) are introduced to coherent radar imaging. We propose a single CS-based formalism that enables the full three-dimensional (3-D)-range, Doppler frequency, and horizontal spatial (represented by the direction cosines) domain-imaging. This new method can not only reduce the system costs and decrease the needed number of baselines by enabling spatial sparse sampling but also achieve high resolution in the range, Doppler frequency, and horizontal space dimensions. Using an assumption of point targets, a 3-D radar signal model for imaging has been derived. By comparing numerical simulations with the fast Fourier transform and maximum entropy methods at different signal-to-noise ratios, we demonstrate that the CS method can provide better performance in resolution and detectability given comparatively few available measurements relative to the number required by Nyquist-Shannon sampling criterion. These techniques are being applied to radar meteor observations. Interferometric imaging has been introduced to radio and radar observations for decades in the fields of astronomy, meteorology, atmosphere/ionosphere observations, plasma physics, and so on [Marouf et al., 1982;Kunitsyn and Tereshchenko, 1992;Igarashi et al., 2000;Pavelyev et al., 2002]. Interferometry was first used at the Jicamarca Radio Observatory for measuring the inclination of the geomagnetic field [Woodman, 1971]. Since then, it has been successfully applied to study ionospheric plasma irregularity phenomena [Farley et al., 1981;Kudeki and Stitt, 1987;Hysell, 1996]. It is a practical way to simultaneously achieve both fine spatial and temporal resolutions. Its mathematical basis is the Fourier transform relationship between the spatial correlation of the electromagnetic fields scattered from targets-visibility measurements-and the angular brightness ZHU ET AL.COHERENT RADAR IMAGING Key Points:• Discrete linear radar signal model for holography is proposed • Aspects of compressed sensing are introduced to holography • Outstanding performance of compressed sensing is proved