基于多阶分数离散切比雪夫变换和产生序列的图像加密方法

doi:10.11959/j.issn.1000-436x.2018072

Abstract

Abstract:

Fractional transform based image encryption methods have been widely studied in recent years.However,most of the existing fractional transform based image encryption methods are defined in the complex field.Thus,the encrypted images contain both phase and amplitude information,which is not conducive to transmission and storage.Moreover,some encryption methods that meet the requirements of reality-preserving have problems of relatively single keys,lacking of sensitivity and so on.An image encryption method was proposed based on multiple-order fractional discrete Tchebichef transform and generating sequence.The proposed method used randomly generated row and column vectors and generating sequence generated by Chaotic sequences as keys to encrypt images,which not only satisfied property of reality-preserving transmission but also greatly expanded the key space.The experimental results further demonstrate that the proposed encryption method can resist a variety of attacks,and decrypted images are almost non-distored,which indicate excellent encryption effect,sufficient security and robustness of the method.

Key words: fractional order, generating sequence, image encryption, discrete Tchebichef transform

CLC Number:

TP309.7

Bin XIAO,Wenming SHI,Weisheng LI,Jianfeng MA. Image encryption method based on multiple-order fractional discrete Tchebichef transform and generating sequence[J]. Journal on Communications, 2018, 39(5): 1-10.

Figures/Tables 15

References 31

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图像类型	水平方向	垂直方向	对角线方向
明文图像	0.933 8	0.964 9	0.912 3
密文图像	0.047 2	?0.058 4	?0.069 3

图像尺寸			计算时间/s
图像尺寸	MFrDFT	MFrDCT	MFrDST	MFrDHT	MFrDTT
128像素×128像素	0.411 2	0.467 2	0.370 8	0.458 0	0.291 4
256像素×256像素	4.217 6	4.256 8	3.266 2	4.186 4	2.916 6
512像素×512像素	74.403 0	72.36 5	63.95 1	71.40 7	58.371 6

图像编号	MFrDCT解密结果/dB	MFrDTT解密结果/dB
1	245.32	253.77
2	242.67	255.29
3	245.17	255.01
4	242.68	254.54
5	243.55	254.55

噪声强度		解密图像质量/dB
噪声强度	MFrDCT	MFrDFT	MFrDTT
0.05	32.85	33.30	34.56
0.10	26.72	27.23	27.72
0.20	20.64	21.38	21.99
0.50	12.74	14.05	14.36
0.80	8.44	10.98	9.04
1.00	6.85	9.69	7.07

Image encryption method based on multiple-order fractional discrete Tchebichef transform and generating sequence

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