Circuit Design and Application of Discrete Cosine Transform Based on Memristor

Discrete Cosine Transformation(DCT) is an important method in image compression. With the advent of the era of big data, how to make efficient DCT calculation is the key to its application. Therefore, this paper proposes a one-step DCT calculation method from the point of view of analog circuit, which can greatly speed up the operation in the form of low energy consumption. Firstly, a new weight programming is proposed, and the negative weight problem is solved. On the basis of this analysis, One-dimensional DCT(1D-DCT) and One-dimensional IDCT(1D-IDCT) calculation circuit is proposed. After that, the One-dimensional circuit is designed into Two-dimensional circuit by using parallel processing. PSPICE simulation results show that the average calculation accuracy of the circuit is above 99%. Finally, the designed two-dimensional circuit is used in image compression, and it is found that the compression effect is significant in the case of high speed.