Imaging spectral system and method based on compressed sensing and Hadamard transformation
A technology of compressed sensing and imaging spectrum, applied in the field of spectroscopy, can solve the problems of slow imaging speed, redundant imaging sampling, high detection dimension relative to point detection, etc., and achieve the effect of large dynamic range
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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 relevant 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 the prior knowledge, select the appropriate sparse base Ψ, so that the point spread function x is transformed by Ψ to get x' is the most sparse; in the known measurement 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 x' is obtained, the Inverts to x.
[0047] Hadamard transformation: The theoretical mod...
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