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

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108 CHAPTER 5<br />

(a)<br />

(c)<br />

Quantized sensor output<br />

1500<br />

1400<br />

1300<br />

1200<br />

1100<br />

1000<br />

900<br />

800<br />

700<br />

600<br />

500<br />

0ns 10ns 20ns 30ns 40ns 50ns<br />

1 2 3 4<br />

Sampling point<br />

Measured delay in nanoseconds<br />

50<br />

45<br />

40<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Quantized sensor output<br />

Measured delay<br />

Error<br />

1200<br />

1150<br />

1100<br />

1050<br />

1000<br />

950<br />

900<br />

850<br />

800<br />

0 10 20 30 40 50<br />

Real delay in nanoseconds<br />

0ns 10ns 20ns 30ns 40ns 50ns<br />

1 2 3 4<br />

Sampling point<br />

Figure 5.5 4-tap lock-in pixel (<strong>with</strong> one output diffusion): Phase <strong>measurement</strong>s<br />

at 10 MHz, (a) <strong>with</strong>out and (b) <strong>with</strong> correction <strong>of</strong> 3 rd sampling point.<br />

(c) Measured delay vs. real delay after correction <strong>of</strong> 3 rd sampling<br />

point. Standard deviation <strong>of</strong> <strong>measurement</strong> error: 1.2 ns. (1.2% <strong>of</strong><br />

modulation period).<br />

Phase <strong>measurement</strong>s performed <strong>with</strong> the 4-tap pixel at 10 MHz modulation<br />

frequency (40 MHz sampling frequency) are shown in Figure 5.5. For these<br />

<strong>measurement</strong>s an <strong>of</strong>fset value <strong>of</strong> 250 quantization levels (estimated empirically)<br />

had to be subtracted from the 3 rd sampling point. Figure 5.5 (a) illustrates the<br />

originally measured sampling point data for different signal delays, (b) shows the<br />

same data after the <strong>of</strong>fset subtraction from the 3 rd sampling point. The achieved<br />

time resolution is pretty poor: 1.2 nanoseconds. Also, in a real application, the<br />

<strong>measurement</strong> <strong>of</strong> the different sampling point sensitivities for each pixel in the array<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

-10<br />

Error in nanoseconds<br />

(b)

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