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A New Simplified Approach to Spectrum Analysis for Digital-to-Analog Converters and Its Fundamental Measurement Without a Filter |
LU Zu-liang1,HUANG Lu1,YANG Yan1,WANG Lei1,Eddy So2 |
1. National Institute of Metrology, Beijing 100013, China
2. National Research Council, Ottawa, Canada |
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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.
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