Patent ID: 8861588
Filing Date: 2014-10-14
Classification: G01S

Abstract:
1. A system of reconstructing data signals from one of incomplete, compressed or sparse measurements comprising: a receiver for receiving data signals from a target area, an analog to digital conversion system operatively connected to the receiver, the analog to digital conversion system digitizes a received data signal at a slower rate than a Nyquist minimum sampling rate to obtain a sub-Nyquist digitized output; first and second dictionaries for storage of a plurality of time shifted data recovered from previously transmitted signals; the first dictionary operating to store time shifted versions of previously transmitted signals which are sampled above the Nyquist minimum sample rate; the second dictionary operating to store time shifted versions of previously transmitted signals which are sampled below the Nyquist minimum sample rate, and at least one processor for reconstruction of waveform signals; the at least one processor operating to transform the sub-Nyquist digitized output from the analog to digital conversion system into an approximation of the received data signal using the first and second dictionaries to produce reconstruct the data signal.