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Compressive Sensing Reconstruction Method for Partial Ciphertext of Double Random Phase Encryption System

A compressed sensing reconstruction, double random phase technology, applied in transmission systems, digital transmission systems, and key distribution to improve robustness, reduce data volume, and reduce the required sampling rate

Active Publication Date: 2020-02-21
SUZHOU UNIV OF SCI & TECH
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Problems solved by technology

In practical applications, the sampling frequency domain generally needs to reach 5 to 10 times the highest frequency of the original signal, which brings great pressure to the acquisition and transmission of signals.

Method used

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  • Compressive Sensing Reconstruction Method for Partial Ciphertext of Double Random Phase Encryption System
  • Compressive Sensing Reconstruction Method for Partial Ciphertext of Double Random Phase Encryption System
  • Compressive Sensing Reconstruction Method for Partial Ciphertext of Double Random Phase Encryption System

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Embodiment 1

[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 for encryption, 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...

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Abstract

The invention discloses a compressed sensing reconstruction method of partial ciphertext in a double random phase encryption system. A double random phase encryption encoding system is regarded as a compressed sensing system to perform matrix in the encryption process of the double random phase encryption system, thereby constructing a measurement matrix to sampling partial ciphertext of the ciphertext; the original plaintext is precisely constructed through the adoption of a compressed sensing reconstruction algorithm under the condition of knowing partial ciphertext and a secret key. Through the adoption of the technical scheme disclosed by the invention, the limitation of the traditional Nyquist sampling mode to the sampling frequency is broken through, the ciphertext data size can be effectively reduced, and the system robustness is improved.

Description

technical field [0001] The invention relates to a ciphertext reconstruction method in the technical field of optical information security, in particular to a compressed sensing reconstruction method for partial ciphertexts of a double random phase encryption system. Background technique [0002] Information security always affects national security, economic development and social stability. Optical information security technology is favored by researchers due to its advantages of fast processing speed, high parallel dimension and large data storage capacity. [0003] Most of the research in the field of optical information security technology revolves around double random phase encryption (DRPE). US patents US5903648, US6002773, US20020150242 and US6519340 are all about this system. Its specific implementation system is as attached figure 1 As shown, the plaintext f(x, y) to be encrypted is placed on the input surface, and the random phase plate RPM1 is closely attached t...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04N19/63H04N21/2347H04N21/4405H04L9/08
CPCH04L9/0869H04N19/63H04N21/2347H04N21/44055
Inventor 徐晓滨吴泉英柳军司徒国海
Owner SUZHOU UNIV OF SCI & TECH
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