Measurement of radio waves forms the basis for a number of sensing applications including: medical imaging (MRI), remote sensing (Synthetic Aperture Radar), and electronic warfare (wideband spectral monitoring). This talk will discuss the application of compressed sensing to these different RF-based sensing/imaging problems. In each case the application of compressed sensing depends crucially on the signal model. We will consider the different issues raised by each application and the potential of compressed sensing to transform the sensing technology.