| 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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