摘要
采样定理是数字信号处理的基础,在信号的理论研究和工程实践中都有重要而广泛的应用.给出了采样定理的一个新的推导方法,研究了重构信号与原信号之间的关系,建立了相应的误差公式.同时,进一步研究了不同采样频率下采样信号之间的关系,得到了采样信号之间的转换公式.
Sampling theorem is the basis of digital signal processing.It has important and extensive applications in theory research and engineering practice of signal.In this paper,a new derivation method of sampling theorem is given.The relationship between reconstructed signal and original signal is studied,and the corresponding error formula is established.At the same time,the relationship between sampled signals at different sampling frequencies is further studied,and the conversion formula between sampled signals are obtained.
作者
刘密歌
LIU Mi-ge(School of Information Engineering,Xi'an University,Xi'an 710065,China)
出处
《西安文理学院学报（自然科学版）》
2019年第5期64-68,共5页
Journal of Xi’an University(Natural Science Edition)
关键词
采样定理
采样频率
重构信号
sampling theorem
sampling frequency
reconstructed signal
