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紧框架是一类具有良好特性的框架,它在图像及视频编码传输等实际应用中经常被采用。首先引入框架和量子测量的基本知识,再利用量子测量与框架之间存在的紧密联系,即量子测量系统所依赖的子空间中的规范紧框架正好是该空间中的一阶广义测量,推导出了基于量子测量理论的紧框架的构造方法。通过设计出具体的实例,并将其与传统的框架构造方法进行比较。实验结果表明,在同等条件下,该文提出的方法在抗误差性能及计算复杂度等方面更优。
Tight frame is a type of framework with good characteristics, it is often used in practical applications such as image and video coding transmission. First of all, the basic knowledge of frame and quantum measurement is introduced, and then the close relationship between quantum measurement and frame is used. The tight frame of the subspace in the quantum measurement system depends on the first-order generalized measurement in the space and deduces A Tight Frame Construction Method Based on Quantum Measurement Theory. By designing a concrete example and comparing it with the traditional framework construction method. Experimental results show that under the same conditions, the proposed method is superior in error tolerance and computational complexity.