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

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SOLID-STATE IMAGE SENSING 69<br />

The standard deviation <strong>of</strong> the photon shot noise ∆Nshot is equal to the square root <strong>of</strong><br />

the number <strong>of</strong> photons or photogenerated charge carriers N:<br />

∆ Nshot = N<br />

Equation 3.14<br />

Photocharge conversion noise includes all noise sources that disturb the “optical“<br />

information in the process chain <strong>of</strong> converting the optically generated electron hole<br />

pairs into an analogous output signal. Figure 3.15 illustrates a source follower<br />

stage as a typical example <strong>of</strong> a detection stage in semiconductor imagers.<br />

Photocharge conversion noise is composed <strong>of</strong> several contributions, viz. reset<br />

noise, 1/f noise (flicker noise), amplifier Johnson noise (thermal noise) and shot<br />

noise <strong>of</strong> dark current. All these contributions increase <strong>with</strong> temperature.<br />

reset<br />

V reset<br />

C<br />

output<br />

diffusion<br />

Figure 3.15 Source follower photo detection stage. The output diffusion is directly<br />

connected to the gate <strong>of</strong> a source follower transistor. The lightproportional<br />

amount <strong>of</strong> charge collected on the capacitance C <strong>of</strong> the<br />

output diffusion node controls the current in the first amplifier stage.<br />

By activating the reset switch, the charge on the output node can be<br />

dumped to the reset source. [PS2].<br />

Reset noise, also known as kTC noise, describes the Johnson noise (resistor<br />

noise) influence <strong>of</strong> the transistor channel <strong>of</strong> the reset transistor on the charge at the<br />

output diffusion. Every time the reset transistor is activated, the output diffusion is<br />

charged to the reset voltage Vreset. This corresponds to a certain amount <strong>of</strong> reset<br />

charge Qreset on the conversion capacitance C (capacitance <strong>of</strong> the output diffusion<br />

node) varying by the reset charge noise ∆Qreset.<br />

∆ Qreset = k ⋅ T ⋅ C<br />

Equation 3.15

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