THE EVOLVING GENERATION AND FAST ALGORITHMS OF SLANT HAAR-TYPE TRANSFORM
Shi Baochang Wang Nengchao(Parallel Computing Institute, Huazhong Universityof Science and Technology, Wuhan, 430074)
The evolving generation of a class of new orthogonal transforms: slant Haar-type transform is discussed by using the idea of bisection evolution and mutation, and combining Haar-type transform and slant transform. Then on this basis, various in place fast algorithms for slant Haar-type transform are obtained. The results about Haar-type transform and slant Haar transform are extended, and a new approach for the design of orthogonal transforms and their fast algorithms are developed.