基于分数表示模型的量子信号中值滤波  

Median Filtering of Quantum Signal Based on the Fractional Representation Model

作　　者：鲁大勇 胡颖颖 张芊芊 LU Dayong;HU Yingying;ZHANG Qianqian(School of Mathematics and Statistics,Henan University,Kaifeng 475000,Henan,China)

机构地区：[1]河南大学数学与统计学院,河南开封475000

出　　处：《北京工业大学学报》2023年第6期639-646,共8页Journal of Beijing University of Technology

基　　金：河南省科技厅基础与前沿技术研究计划资助项目(132300410150)。

摘　　要：在过去10年里,基于量子力学的量子信号表示研究已经出现一些重要结果.然而,关于量子信号处理方面的研究却相对滞后,其中就包括量子信号的滤波处理.首先,改进了现有的数字信号的量子表示模型(quantum representation of digital signals,QRDS),使其适用于任意长度的时间信号,同时还修改了QRDS模型中二补码的编码方法,使得新的编码更符合实际问题.然后,基于改进的模型引入了中值滤波方案,该方案回避了量子计算不能直接实现卷积运算的缺陷.为了实现该滤波方案的量子电路,又给出了基本量子运算模块:比较器模块、交换模块和中值计算模块.最后,通过实例验证了文中所提滤波方案的有效性和合理性.In the past decade,quantum signal representation models based on quantum mechanics have produced some important results.However,researches on quantum signal processing is lagging behind,including the filtering of quantum signals.First,the fixed-point number quantum representation of digital signals(QRDS)proposed by Li Panchi et al.was improved,so that it is more suitable for time signals with any length.Then,a median filtering method was introduced based on the improved model,which avoids the drawback that quantum computing cannot directly implement convolution operations.To implement the quantum circuit of this filtering method,the basic quantum operation modules including comparator module,swap module and median calculation module were given in this paper.Finally,the effectiveness and rationality of the filtering method proposed in the paper were verified by examples.

关 键 词：量子计算 量子信号 量子信号处理 中值滤波 定点数表示 量子电路 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]