The Technique Of Ordering To Walsh Analysis And Its Applications

Walsh analysis that with the characters of having simple value and transforming quickly, is widely used in different fields of signal punish, communication, control etc. Dual technology is a kind of high-efficient scale reduce technology. This thesis evolves with dual evolution, which defines different orders of Walsh function and Walsh transform and ordering respectively. And we apply it to code transporting in CDMA and image compression. The thesis is divided into three parts mainly. They are the technique of ordering of Walsh function and its applications in CDMA, the technique of ordering of Walsh transform and its applications in algorithm design, and improve algorithms integrating different orders Walsh transform with the fractal image compress.First, the thesis shows the technique of ordering of deferent order of Walsh function. In practical application, according to the character of Walsh code corresponding to the different order of Walsh function, we integrate with the technique of ordering to apply in CDMA, which is importing some marked Walsh code to solve the problem of code lacking and the signal interfere each other in CDMA. Secondly, the thesis gets ordering to the fast Walsh transform, using the external and the internal technique of ordering, and applies it to design the algorithm. These algorithms have different applications in different network structure.Finally, the thesis improves the method, integrating Walsh transform truncation method and a novel quadtree storage structure with tradition fractal image compress. And combine the improved method and the four orders Walsh transforms. As different order will lead to different effect, we import the technique of ordering. Then we can get the optimum output. The experimental result shows that to most images, adverse Walsh order is best. That will be a new application to it.