Efficient Sampling Schemes for Pulse Streams with Application to Ultrasound Imaging

We consider the problem of sampling signals which are comprised of pulse streams, a model which belongs to the recently introduced framework of signals with finite rate of innovation (FRI). Although sampling of pulse streams was treated in various works, either the rate of innovation (ROI) was not achieved, or the pulse shape was limited to diracs. In this work we present two sampling architectures for pulse streams with arbitrary shape. Our first scheme is a single channel method, operates at rate of only 2:5 times the ROI. The second technique, which is based on multichannel sampling, achieves the ROI exactly. Both configurations are flexible, and exhibit better noise robustness than previous approaches.