【摘要】 连续信号与离散信号的Hilbert变换之间存在偏差,不利于学生理解。本文从理论上分析了信号的最高频率、采样频率、想要达到的信噪比与离散Hilbert变换项数之间的关系,给出了离散Hilbert变换的特性及适用于实验的项数确定依据。数值仿真表明了相关结论的正确性。更多还原

【Abstract】 Some deviations exist between the continuous Hilbert transform and its discrete version,which makes students confused. This paper analysis the relation among signal maximum frequency,sample frequency,desired signal to noise ratio and the number of terms in discrete Hilbert transform theoretically. Besides,some properties of discrete Hilbert transform and the criterion for determining the number of terms are given. The numerical simulations indicate the correctness of relevant conclusions.更多还原