A Nonlinear Dual-Image Encryption Method Based on Chaos and Amplitude-Phase Encoding
An encryption method and dual-image technology, which is applied in the direction of secure communication through chaotic signals, image communication, digital transmission system, etc., can solve the problem of uneven distribution of histogram of encrypted images, weak ability to resist statistical attacks, amplitude encryption and phase encryption Unbalanced image histograms and other issues can be achieved to enhance the ability to resist known and chosen plaintext attacks, fast encryption speed, and high security effects
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[0098] 1) Generate chaotic sequence and phase mask: Two chaotic systems are used to generate the phase mask M 1 and M 2 , 2D Logistic mapping is used to generate a random kernel matrix of discrete complex order random transformation, as follows:
[0099] ① First, set the adaptive adjustment parameters, apply the adaptive adjustment parameters to adjust the initial value of the chaotic system, and generate the corresponding chaotic sequence, assuming that the plaintext image is expressed as I 1 , I 2 , the size of the plaintext image is N×N, then the generation of adaptive adjustment parameters is shown in formula (1):
[0100]
[0101] where σ ad_init is the initial value of the Chen system, ranging from 0 to 1, which can be understood as the initial value x 0 ,y 0 ,z 0 = σ ad_init , the value range of the 2D Logistic random matrix is small, and the initial value of the 2D Logistic mapping system satisfies formula (2) and formula (3):
[0102] x' 0 =a+0.01σ ad_i...
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