周期信号加时窗后的频谱分析与仿真研究
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摘要
研究工作中用EDA工具对周期性信号作频谱分析问题时,由此得到的频谱分析与周期性信号频谱的理论分析存在着一定的偏差。理论的信号幅度谱具有谐波性,是离散的谱线,而仿真环境下的谱线在频率点有畸变。通过信号谱分析的理论,结合EDA仿真工具分析的特点,将两种频谱分析的偏差来源归结于周期信号的时域加窗效应。分析了频谱产生偏差的原因,并对理论分析谱和仿真分析谱的特点给予归纳。最后的仿真分析也证实了给出的分析结果。
When the spectrum analysis of the periodic signals is done by using EDA tools, its result often has errors to a certain extent compared with that of the theory analysis. The theoretical signal amplitude spectrum has harmonic property, and is a discrete spectrum,while the spectrum in the simulation environment has the aberrance at the frequency point. This paper shows that the source of the errors comes from the effect of the windowing of periodic signals in time domain by using the theory of the signal spectrum and combining the characteristic of simulation analysis of EDA tools. At last, this paper analyzes the errors, and summarizes the common characteristics of both the theoretical analysis spectrum and simulated analysis spectrum. The conclusions are proved by simulation analysis.
When the spectrum analysis of the periodic signals is done by using EDA tools, its result often has errors to a certain extent compared with that of the theory analysis. The theoretical signal amplitude spectrum has harmonic property, and is a discrete spectrum,while the spectrum in the simulation environment has the aberrance at the frequency point. This paper shows that the source of the errors comes from the effect of the windowing of periodic signals in time domain by using the theory of the signal spectrum and combining the characteristic of simulation analysis of EDA tools. At last, this paper analyzes the errors, and summarizes the common characteristics of both the theoretical analysis spectrum and simulated analysis spectrum. The conclusions are proved by simulation analysis.
引文
[1]李东生,王晓翔,解明祥编著.信号与电子系统原理及EDA仿真[M].合肥:中国科学技术大学出版社,2000-6.
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[3]吴大正主编.信号与线性系统分析[M].北京:高等教育出版社,2003.
[4]郑治真,张少芬著.瞬态谱估计理论及其应用[M].北京:地震出版社,1993-6.
[5]程乾生著.信号数字处理的数学原理(第二版)[M].北京:石油工业出版社,1993-11.
[2]李东生等编著.SystemView系统设计及仿真入门与应用[M].北京:电子工业出版社,2002-3.
[3]吴大正主编.信号与线性系统分析[M].北京:高等教育出版社,2003.
[4]郑治真,张少芬著.瞬态谱估计理论及其应用[M].北京:地震出版社,1993-6.
[5]程乾生著.信号数字处理的数学原理(第二版)[M].北京:石油工业出版社,1993-11.
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