Research For Multiple Descriptions Method Based On Frame Expansion

Multiple Description Coding(MDC) offers an image and video coding framework with very strong error resilient and error concealment ability.It can well conquer the data error or packet loss problem due to the Internet or wireless network channel failure.This thesis first reviews the development of MDC,concentrates its study on frame expansion in MDC,and analyzes significantly the method of MDC based on frame expansion,and proposes the frame construction based on theory of quantum measurement with the knowledge of quantum measurement.First of all,the effects of coefficients quantization in over-complete expansion was discussed.Two classes of overcomplete expansion were considered:fixed (frame) expansions and expansions that are adapted to each particular source sample.The MSE of the optimal reconstructions in both of the conditions were considered.In contrast to conventional system,quantum frame system showed the advantage of anti-error performance in the lossy channel.Then,some basic knowledge of frames is described in the paper,and then some concepts of quantum measurement are introduced.Using the compact relationship between quantum measurement and frames,that is, the family of normalized tight frames for the space in which a quantum-mechanical system lies is precisely the family of rank-one generalized quantum measurements on that space,we get the tight frame construction based on theory of quantum measurement.The concrete example shows that compared with the traditional construction methods,frame construction based on theory of quantum measurement has a lot of advantages in anti-error performance and computational complexity.