Method and apparatus for remote object sensing employing compressive sensing
First Claim
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1. A method for remote object sensing on-board a vehicle, comprising:
- operating an analog-to-digital (A/D) converter at a sampling rate proportional to a compressibility of sensed objects to generate a digitized form of an on-vehicle low-resolution radar imaging system and reflected from a remote object;
within a signal processor;
employing compressive sensing to analyze the digitized form of the waveform originating from an on-vehicle low-resolution radar imaging system and reflected from the remote object, said compressive sensing including generating a matrix comprising a temporal projection which is predetermined in an off-line environment, a Fourier transform, and an integral term configured to analyze the reflected waveform; and
identifying leading and trailing edges of the remote object by employing a norm minimization procedure to reconstruct a range profile based upon the reflected waveform analyzed by said compressive sensing;
wherein employing a norm minimization procedure includes finding a minimum of the reflected waveform employing linear programming; and
providing an estimate of an actual location of the remote object based on the identified leading and trailing edges of the remote object.
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Abstract
A method for remote object sensing on-board a vehicle includes employing compressive sensing to analyze a waveform originating from an on-vehicle low-resolution radar imaging system and reflected from a remote object. The compressive sensing includes generating a matrix including a temporal projection, a Fourier transform, and an integral term configured to analyze the reflected waveform. Leading and trailing edges of the remote object are identified by employing a norm minimization procedure to reconstruct a range profile based upon the reflected waveform analyzed by the compressive sensing.
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Citations
14 Claims
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1. A method for remote object sensing on-board a vehicle, comprising:
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operating an analog-to-digital (A/D) converter at a sampling rate proportional to a compressibility of sensed objects to generate a digitized form of an on-vehicle low-resolution radar imaging system and reflected from a remote object; within a signal processor; employing compressive sensing to analyze the digitized form of the waveform originating from an on-vehicle low-resolution radar imaging system and reflected from the remote object, said compressive sensing including generating a matrix comprising a temporal projection which is predetermined in an off-line environment, a Fourier transform, and an integral term configured to analyze the reflected waveform; and identifying leading and trailing edges of the remote object by employing a norm minimization procedure to reconstruct a range profile based upon the reflected waveform analyzed by said compressive sensing; wherein employing a norm minimization procedure includes finding a minimum of the reflected waveform employing linear programming; and providing an estimate of an actual location of the remote object based on the identified leading and trailing edges of the remote object. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A method for remote object sensing on-board a vehicle employing a low-resolution radar imaging system, comprising:
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operating an analog-to-digital (A/D) converter at a sampling rate proportional to a compressibility of sensed objects to generate a digitized form of a linear frequency modulation (LFM) waveform generated by the low-resolution radar imaging system and reflected from a remote object; within a signal processor; employing compressive sensing to analyze the digitized form of the LFM waveform generated by the low-resolution radar imaging system and reflected from the remote object, said compressive sensing including determining a measurement matrix for the remote object in a derivative space based upon a temporal projection which is predetermined in an off-line environment, a Fourier transform, and an integral term; and identifying leading and trailing edges of the remote object by employing a norm minimization procedure to reconstruct a range profile based upon the measurement matrix for the remote object in the derivative space; wherein employing a norm minimization procedure includes finding a minimum of the reflected waveform employing linear programming; and providing an estimate of an actual location of the remote object based on the identified leading and trailing edges of the remote object. - View Dependent Claims (12, 13, 14)
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Specification