Abstract: A system for characterizing a compressed sensing apparatus is described which broadly includes a random vector generator for generating an input vector, a waveform generator in communication with the random vector generator for converting the input vector into an analog signal, a compressed sensing apparatus in communication with the digital-to-analog converter for determining a digital bit stream from the analog signal, a serial-to-parallel converter for converting the digital bit stream into an input vector; and an electronic processor in communication with the random number generator and the serial-to-parallel converter configured for determining a compressed sensing matrix.

Abstract: A system for characterizing a compressed sensing apparatus is described which broadly includes a random vector generator for generating an input vector, a waveform generator in communication with the random vector generator for converting the input vector into an analog signal, a compressed sensing apparatus in communication with the digital-to-analog converter for determining a digital bit stream from the analog signal, a serial-to-parallel converter for converting the digital bit stream into an input vector; and an electronic processor in communication with the random number generator and the serial-to-parallel converter configured for determining a compressed sensing matrix.

Abstract: Embodiments of the present invention provide a method and apparatus for compressed sensing. In some embodiments, the apparatus (10) generally includes a receiving element (12) operable to receive an input signal, an integrate/dump circuit (14), a sampling element (16), and a processor (18). The integrate/dump circuit (14) is operable to integrate at least a portion of the received signal to provide an integrated signal and the sampling element (16) is operable to sample the integrated signal at a first sampling rate which is less than the Nyquist rate for the input signal. The processor (18) is operable to form a compressed sensing matrix utilizing a first set of time indices corresponding to the first sampling rate, form a measurement vector utilizing at least a portion of the sampled signal, and reconstruct at least a portion of the input signal utilizing the compressed sensing matrix and the measurement vector.

Abstract: Embodiments of the present invention provide a method and apparatus for compressed sensing. The method generally comprises forming a first compressed sensing matrix utilizing a first set of time indices corresponding to a first sampling rate, forming a second compressed sensing matrix utilizing a plurality of frequencies and a second set of time indices corresponding to a second sampling rate, forming a combined compressed sensing matrix from the first compressed sensing matrix and the second compressed sensing matrix, and reconstructing at least a portion of the input signal utilizing the combined compressed sensing matrix. The first and second sampling rates are each less than the Nyquist sampling rate for the input signal.