Optimal Design And Application Of Combinatorial Circuit Based On Memristor

With the development of science and technology,the limitation of CMOS technology has made Moore’s Law face serious challenges.Transistors’ volume cannot be scaled down infinitely for the impact of physical materials,energy consumption,performance,and other aspects.The birth of the memristor provides a new way to continue Moore’s law and solve the problems of large areas,high power consumption,and von Neumann structure bottlenecks of traditional integrated circuits.It is expected to realize neuromorphic computing.The memristor not only has the characteristics of small size and fast speed,but also has the characteristics of low power consumption,compatibility with CMOS technology,binarity and easy integration.The binarity is conducive to the application in logic circuit design.The combined logic circuit design with CMOS can effectively reduce circuit components,reduce power consumption and enhance drive.The designed combinatorial logic circuit can be used as building blocks in the design of large circuits.Therefore,the design of a memristor combinatorial logic circuit has important theoretical significance and application value.The main contents of this paper are as follows:First,the memristor simulator model and the SPICE model of the memristor are analyzed and studied.A new shape function,the hyperbolic tangent function(tanh)circuit is designed,and the tanh circuit is applied to the memristor simulator model to improve the simulator model.Compared with the traditional STBM model,the performance of the memristor simulator,such as I-V characteristics,threshold value,and hysteresis curve,has been improved.Among them,the input signal frequency has a significant improvement from 7k Hz to 15 k Hz.In addition,the SPICE model of memristor is studied.Based on the in-depth understanding of SPICE modeling method,mathematical model and threshold characteristics,the shaping function is improved,which lays a foundation for the subsequent design of combinatorial logic circuit.Then,the combined logic circuit is designed by using the memristor SPICE model and CMOS.In design process,inspired by the traditional 2T-4M logic circuit,a new 2T-4M logic circuit is designed,and based on this,the combined circuit is designed.A 1-bit full adder is designed based on the logic gate circuit composed of memristor and CMOS,and a 4-bit carry adder is designed based on the full adder.The number of devices of carrylook ahead adder designed with memristor is reduced by 68.58% compared with traditional CMOS.Apparently,the 2T-4M circuit module structure is more concise,has more advantages,and can simultaneously achieve a variety of logic operations.Based on the new 2T-4M module,the circuits of a full adder and a binary multiplier are designed.Compared with the circuit designed with modular,the number of devices utilized is greatly reduced,and the simulation results show that the delay time and power consumption of the circuit also have obvious improvement.Finally,the logic circuit designed by the 2T-4M module is used as the encryption unit for the design of large array image encryption and decryption circuit.The principle of image encryption and decryption is demonstrated in detail through the value of the binary matrix and the changing process of the matrix image.The binary image and the color image are used to verify the encryption and decryption circuit based on XOR and XNOR,the encryption and decryption circuit based on full adder,which ensures the correctness of the circuit design.Compared with the image encryption and decryption circuit designed based on XOR and XNOR encryption units,the circuit designed by the full adder encryption unit has two keys,so the encryption and decryption process are more secure and reliable.