Time flight imaging spectrum system and method based on compressed sensing and coding transformation
A technology of imaging spectroscopy and compressed sensing, applied in the field of time-of-flight imaging spectroscopy
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[0044] The present invention will be further described now in conjunction with accompanying drawing.
[0045] Before describing the present invention in detail, the related concepts involved in the present invention will be described first.
[0046] Compressed Sensing (CS for short): Compressed sensing can perfectly restore the original signal in a random sampling manner with fewer data samples (far below the limit of the Nyquist / Shannon sampling theorem). The basic steps of compressed sensing include: firstly, using prior knowledge, select a suitable sparse basis Ψ, so that the point spread function x is transformed by Ψ to get x' is the most sparse; when the measured value vector y, measurement matrix A and sparse Under the condition of Ψ, the mathematical model y=AΨx′+e is established, and the convex optimization is carried out through the compressed sensing algorithm. After obtaining x’, the Inverts to x.
[0047]Hadamard transformation: The theoretical model of Hadamar...
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