Compressed sensing of ultrasound single-orthant analytical signals

Compressive sensing in ultrasound imaging has previously been introduced by the authors. This method allows image reconstructions from relatively few samples (below the Nyquist criteria) using the image sparsity in the Fourier domain, leading to a reduced data volume and acquisition time, two limiting factors in 3D US imaging for example. In this paper, we propose to reduce even further the number of samples (and thereby potentially decrease further the acquisition time) using analytical forms of the US signals.