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3D Time-of-flight distance measurement with custom - Universität ...

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DEMODULATION PIXELS IN CMOS/CCD 143<br />

Signal-to-noise ratio SNR:<br />

⎛ voltage swing in V<br />

SNR = 20 ⋅ log⎜<br />

⎝ rms noise <strong>of</strong> voltage swing in<br />

Dynamic range D/R:<br />

V<br />

⎞<br />

⎟<br />

⎠<br />

Equation 5.3<br />

⎛ maximum voltage swing in V ⎞<br />

D / R = 20 ⋅ log⎜<br />

⎟<br />

Equation 5.4<br />

⎝ floor noise in V ⎠<br />

Table 5.4 summarizes the measured noise performance, SNR and D/R <strong>of</strong> the<br />

BCCD realization <strong>of</strong> the demodulation pixel. The additional noise <strong>of</strong> the analog<br />

electronics <strong>of</strong> the camera board and the frame grabber is only 54 µV rms and can<br />

be neglected.<br />

Fixed pattern noise: 38 mV<br />

Noise floor: 0.60 mV<br />

Dark noise (12.5 ms): 0.63 mV=175 electrons<br />

Bright noise (12.5 ms, 9000 fW): 3 mV<br />

Voltage swing (9000 fW): 1100 mV<br />

Maximum voltage swing: 3000 mV<br />

Signal-to-noise ratio SNR: 50 dB<br />

Dynamic range D/R: 73 dB<br />

Table 5.4 Noise performance <strong>of</strong> buried channel 1-tap demodulation pixel.<br />

Integration time for the bright noise <strong>measurement</strong>: 12.5 ms.<br />

5.2.8 Comparison <strong>of</strong> measured <strong>distance</strong> accuracy <strong>with</strong> theory<br />

With the knowledge <strong>of</strong> the dark noise, we can now estimate the range accuracy <strong>of</strong><br />

the demodulation pixels by means <strong>of</strong> Equation 4.16. The demodulation contrast at<br />

20 MHz is Cdemod=40%, the modulation depth <strong>of</strong> the LEDs about Cmod=100%. The<br />

dark noise <strong>of</strong> 0.63 mV and 175 noise-equivalent electrons results in a number <strong>of</strong><br />

Npseudo=30,000 pseudo electrons. The <strong>measurement</strong>s have been performed under<br />

the microscope <strong>with</strong>out additional background illumination. The results are<br />

illustrated in Figure 5.25.

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