DAC阶梯信号频谱的新简化分析及其基波的非滤波测量

doi:10.3969/j.issn.1000-1158.2011.05.02

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摘要提出一个新的简化方法分析了DAC生成的阶梯波频谱,包括幅值和相角。以正弦数字信号的离散值为输入,DAC将生成一个阶梯信号,其中的基波分量与输入的正弦信号之间幅值差为-1. 644 9/n²,相位差为-p/n,n为一个周期内离散点的个数;而阶梯信号中的谐波位于(tn±1)阶次上,其幅值是基波分量的1/(tn±1)。设计了一个不需滤波器而仅对阶梯波中基波分量作测量的实验,实验结果证实了上述关于基波的分析结论。讨论了各种可能的应用。

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	陆祖良
	黄璐
	杨雁
	王磊
	Eddy So

关键词 ：计量学, 数模转换, 频谱分析, 误差分析, 滤波器

Abstract：A new simplified approach to the spectrum analysis of digitally synthesized sine-waves generated by DACs is described,including amplitude and phase. The analysis is based on the perfect wave produced by the DAC according to the discrete digital values of a sinusoidal signal. The fundamental component of this wave has an approximate relative difference of -1. 644 9/n² in amplitude and a phase shift of -p/n with respect to the ideal original sinusoidal waveform signal,where n expresses the number of samples per period. In addition,there are the harmonic components of the(tn±1)th order having an amplitude of 1/(tn±1)times the amplitude of the fundamental component(t=1,2,… ). Based on this knowledge,an experiment to compare only the fundamental component without filter is described,and some applications are discussed.

Key words： Metrology;Digital-analog conversion Spectral analysis Error analysis;Filters

PACS:

TB971

作者简介: 陆祖良(1948-),江苏南通人, 中国计量科学研究院研究员,主要从事阻抗和电能计量领域的研究。 luzl@nim.ac.cn

引用本文:

陆祖良,黄璐,杨雁,王磊,Eddy So. DAC阶梯信号频谱的新简化分析及其基波的非滤波测量[J]. 计量学报, 2011, 32(5): 392-399.
LU Zu-liang,HUANG Lu,YANG Yan,WANG Lei,Eddy So. A New Simplified Approach to Spectrum Analysis for Digital-to-Analog Converters and Its Fundamental Measurement Without a Filter. Acta Metrologica Sinica, 2011, 32(5): 392-399.

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http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2011.05.02 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2011/V32/I5/392

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