Pseudo-random Sequence IP Design Based On Logistic Chaotic Algorithm

In the field of data transmission encryption,pseudo-random sequences were widely used.How to generate pseudo-random sequences with superior performance and larger key space was the current research direction.The mathematical definition of Logistic chaotic algorithm was extremely sensitive to initial values and parameters,and could generate a large number of chaotic sequences with good randomness,which provides a good research model for generating high-quality pseudo-random sequences.The thesis conducts in-depth research on the Logistic chaotic algorithm and its characteristics,proposes a digital method that could reduce the effect of limited accuracy,and completes the optimization of the Logistic chaotic algorithm.The influence of common quantization methods on the transmission of chaotic characteristics was analyzed,and the threshold quantization method was chosen as the quantization method in this paper.It was proposed to use the method of IP multiplexing to complete the functional design of all modules of the pseudo-random sequence IP,use the Logistic chaotic operation module,the quantization module and the disturbance module to complete the generation of the pseudo-random sequence,realize the data exchange between the pseudo-random sequence and the PC through serial communication module.Comprehensive tests show that all sub-modules of the pseudo-random sequence IP can pass functional simulation verification,the initial value and parameter value width was 64 bits,and the maximum operating frequency of the Logistic chaotic operation module reaches 298.5 MHz.The output pseudo-random sequence key space size was 2¹⁴³,and could pass the National Institute of Standards and Technology randomness test.In the actual image encryption and decryption test,the gray histogram of the encrypted image was evenly distributed,and the entropy value was 7.991.