2M维矢量余弦整数变换核矩阵

Abstract

To reduce the computation time of multidimensional data processing,a 2 M-dimensional vector integer Discrete Cosine Transformation(DCT) kernel matrix was proposed and the orthogonality and energy concentration of the integer transform kernel matrix were analyzed.First,according to the theory and properties of original floating-point 2 M-dimensional vector DCT transform kernel matrix,the algorithm for the 2 M-dimensional vector DCT integer transform kernel matrix was introduced and the orthogonality of 2 M-vector integer transform kernel matrix was validated.Then,the basic principles of blocking and reorganizing the *.yuv format video files were given.Finally,by taking the four order and eight order integer transform kernels as examples,the 2 M-dimensional vector integer transform kernel matrix was analyzed,namely,the energy concentration of multidimensional data after integer transform was discussed.The experimental results show that 2 M-vector transform relative floating-point transformation has good energy concentration.The average value of energy concentration for the Y component has reached more than 97.3%,and those for the U component and V component have been more than 99.9%.It concludes that the results will provide a strong basis for compression processing of multi-dimensional data.