基于线性相关的不同点循环相关计算方法  

Cyclic Correlation Calculation Method of Different Points Based on Linear Correlation

作　　者：张鹏举 戚晨皓[1] ZHANG Pengju;QI Chenhao(School of Information Science and Engineering,Southeast University,Nanjing 210096,China)

机构地区：[1]东南大学信息科学与工程学院,南京210096

出　　处：《电气电子教学学报》2022年第6期129-132,共4页Journal of Electrical and Electronic Education

基　　金：东南大学校级教学改革与研究项目(2019-031、2019-029、2019-026);教育部电子信息类教指委教改项目(2020-YB-44);江苏省高等教育教改课题(2019JSJG069)。

摘　　要：在“数字信号处理”课程中,相关运算在时延估计、随机信号的统计特性分析以及随机信号的功率谱估计等方面有着重要的应用。结合相关和卷积的关系,推导了线性相关与循环相关的转化关系,提出了一种基于线性相关的循环相关计算方法,能基于线性相关结果来快速计算不同点数的循环相关,仿真结果表明,相比于直接根据定义计算循环相关的方法,提出的方法能显著提高计算效率。In the Digital Signal Processing course,correlation operation has important applications in time delay estimation,statistical analysis of random signals,and power spectrum estimation of random signals.Combining the relationship between correlation and convolution,this paper derives the transformation relationship between linear correlation and cyclic correlation,and proposes a linear correlation-based calculation method for cyclic correlation,which can quickly calculate the cyclic correlation of different points based on the linear correlation results.The simulation results show the method proposed in this paper can significantly improve the calculation efficiency compared with the method of calculating cycle correlation directly according to the definition.

关 键 词：线性相关 循环相关 线性卷积 循环卷积 

分 类 号：G642[文化科学—高等教育学]