Similar-short Periodicity Analysis and Application in Image Compression Encryption of Digital Chaos

As digital chaos is affected by the limited precision of computer, chaotic sequence properties present short periodicity. For the phenomenon of digital chaos, the paper analyzes similar-short periodicity of digital chaos and puts forward a novel generator of digital chaos key sequence. Meanwhile, we detail the DCT (Discrete Cosine Transformation) compression and Wavelet compression method, and then make comparison for their different performances. Finally, this paper selects the better compressed image, and then uses new chaotic sequence to encrypt the compressed image.