Compressed sensing reconstruction method of partial ciphertext in double random phase encryption system
A technology of compressed sensing reconstruction and double random phase, which is applied to transmission systems, digital transmission systems, and key distribution to achieve the effects of reducing the necessary sampling rate, reducing the amount of data, and improving robustness
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[0059] In this embodiment, MATLAB software is used to model and simulate the optical encryption system. In order to facilitate the realization of fast Fourier transform, the wavelength of the light wave and the focal length of the lens are combined into the factors of the forward and inverse Fourier transform. In addition, both the input and output planes and the spectrum plane adopt the same aperture as the image to be encrypted.
[0060] For the convenience of calculation, this embodiment selects a grayscale image with 64×64 pixel sparsity of k=720 as the original plaintext, uses a double random phase encoding system to encrypt, and only collects 1200 data points in the center of the ciphertext for compressed sensing reconstruction . Take Φ=S×IFTM2×R2×FTM2×R1 as the measurement matrix, where R1 and R2 are respectively N with keys exp[jψ(x,y)] and exp[jφ(x,y)] as diagonal elements ×N-dimensional matrix, FTM2 and IFTM2 are two-dimensional discrete Fourier transform matrix and...
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