COMPRESSED SENSING CHARACTERIZATION SYSTEM AND METHOD
First Claim
1. A system for characterizing a compressed sensing apparatus, the system comprising:
- 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 waveform generator for determining a first digital bit stream from the analog signal;
a serial-to-parallel converter for converting the first digital bit stream into a second 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.
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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.
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Citations
15 Claims
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1. A system for characterizing a compressed sensing apparatus, the system comprising:
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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 waveform generator for determining a first digital bit stream from the analog signal; a serial-to-parallel converter for converting the first digital bit stream into a second 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. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A method of characterizing a compressed sensing apparatus, the method comprising:
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a data gathering step comprising; generating an input vector of random numbers; capturing the input vector; converting the input vector into an analog signal; reconstructing the analog signal into a digital bit stream using a compressed sensing apparatus; converting the digital bit stream into an output vector; and capturing the output vector; creating an input matrix from the captured input vector; creating an output matrix from the captured output vector; and determining the compressed sensing matrix based on the input vector and the output vector. - View Dependent Claims (9, 10, 11, 12, 13)
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14. A system for characterizing a compressed sensing apparatus comprising:
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a random vector generator for generating an input vector wherein the elements of the first vector comprise Gaussian random noise; a parallel-to-serial converter in communication with the random vector generator for converting the input vector into a first digital bit stream; a digital-to-analog converter in communication with the parallel-to-serial converter for converting the first digital bit stream into an analog signal; a compressed sensing apparatus in communication with the digital-to-analog converter for determining a second digital bit stream from the analog signal; a serial-to-parallel converter for converting the second digital bit stream into a second vector; an electronic processor in communication with the random number generator and the serial-to-parallel converter; and an electronic memory in communication with the electronic processor for storing a plurality of input vectors and a plurality of output vectors wherein the electronic processor is configured for determining a compressed sensing matrix based on the plurality of input vectors and the plurality of output vectors by multiplying the plurality of output vectors by the pseudo-inverse of the plurality of input vectors.
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15. The system for characterizing a compressed sensing apparatus of claim 15, wherein the electronic processor is selected from the group consisting of an FPGA, an ASIC, and a CPU.
Specification