The phase errors obtained by using the arctangent arithmetic (dashed-dotted line labeled in red color) and the arcsine arithmetic (solid line labeled in blue color), respectively. The signal-to-noise-ratio is 35.7 dB.
The relation between the phase error and the number of samples under various conditions with various resolution of ADC; N refers to the resolution of ADC in unit of bit. Increasing the number of sampling is a useful method to decompress the quantization error.
The schematic diagram of the experimental setup for observing the cyclic error caused by non-integral-cycle sampling.
The linear amplitude spectrum density of the phase measurement results. Two cyclic error signals at 4.3 Hz and 8.0 Hz, caused by non-integral-cycle sampling with the frequency differences (between the measured signal and the reference signal) of 2.15 Hz and 4.0 Hz, respectively, were observed.
The schematics of an ultra-stable heterodyne laser interferometer.
The displacement noise level of the heterodyne interferometer.
The stepping motion of a mirror driven by PZT. The applied (peak-to-peak) voltage of 4 mV is corresponding to a 63-pm step height. The red dashed-dotted line is the raw data after removing a fitted three-order polynomial drift, and blue solid line is the data after smoothing with 2-point average.
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