Method and apparatus for compressed sensing using analog projection
First Claim
1. An apparatus for reconstructing an input signal, the apparatus comprising:
- a receiving element operable to receive the input signal;
an integrate/dump circuit coupled with the receiving element, the integrate/dump circuit operable to integrate at least a portion of the received signal to provide an integrated signal and dump the integrated portion of the received signal,a sampling element coupled with the integrate/dump circuit, the sampling element operable to receive the integrated signal and sample the integrated signal at a first sampling rate to provide a sampled signal, the first sampling rate being less than the Nyquist rate for the input signal; and
a processor coupled with the sampling element, the processor operable toform a compressed sensing matrix utilizing a first set of time indices corresponding to the first sampling rate,receive at least a portion of the sampled signal,form a measurement vector utilizing at least a portion of the sampled signal, andreconstruct at least a portion of the input signal utilizing the compressed sensing matrix and the measurement vector.
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Accused Products
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.
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Citations
17 Claims
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1. An apparatus for reconstructing an input signal, the apparatus comprising:
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a receiving element operable to receive the input signal; an integrate/dump circuit coupled with the receiving element, the integrate/dump circuit operable to integrate at least a portion of the received signal to provide an integrated signal and dump the integrated portion of the received signal, a sampling element coupled with the integrate/dump circuit, the sampling element operable to receive the integrated signal and sample the integrated signal at a first sampling rate to provide a sampled signal, the first sampling rate being less than the Nyquist rate for the input signal; and a processor coupled with the sampling element, the processor operable to form a compressed sensing matrix utilizing a first set of time indices corresponding to the first sampling rate, receive at least a portion of the sampled signal, 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. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. An apparatus for reconstructing an input signal, the apparatus comprising:
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a receiving element operable to receive the input signal; a first integrate/dump circuit coupled with the receiving element, the first integrate/dump circuit operable to integrate a least a portion of the received signal to provide a first integrated signal and dump the integrated portion of the received signal; a delay element coupled with the receiving element, the delay element operable to delay the received input signal to provide a delayed signal; a second integrate/dump circuit coupled with the delay element, the second integrate/dump circuit operable to integrate a least a portion of the delayed signal to provide a second integrated signal and dump the integrated portion of the delayed signal; a first sampling element coupled with the first integrate/dump circuit, the first sampling element operable to receive the first integrated signal and sample the first integrated signal at a first sampling rate to provide a first sampled signal, the first sampling rate being less than the Nyquist rate for the input signal; a second sampling element coupled with the second integrate/dump circuit, the second sampling element operable to receive the second integrated signal and sample the second integrated signal at the first sampling rate to provide a second sampled signal; and a processor coupled with the sampling elements, the processor operable to— form a compressed sensing matrix utilizing a first set of time indices corresponding to the first sampling rate, receive at least a portion of the first and second sampled signals, form a measurement vector utilizing at least a portion of the sampled signals, and reconstruct at least a portion of the input signal utilizing the compressed sensing matrix and the measurement vector. - View Dependent Claims (10, 11, 12, 13)
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14. A method for reconstructing an input signal, the method comprising:
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receiving the input signal; integrating at least a portion of the received input signal to provide a first integrated signal and dumping the integrated portion of the received signal; sampling the integrated signal at a first sampling rate to provide a sampled signal, the first sampling rate being less than the Nyquist rate for the input signal; forming a compressed sensing matrix utilizing a first set of time indices corresponding to the first sampling rate, forming a measurement vector utilizing at least a portion of the sampled signal; and reconstructing at least a portion of the input signal utilizing the compressed sensing matrix and the measurement vector. - View Dependent Claims (15, 16, 17)
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Specification