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Fast microbolometer-based infrared camera system 1 Introduction 2 ...

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DIAS Infrared GmbH – Publications – No. 20 2<br />

The frequency dependence of the responsivity R(ω) of a bolometer can simply be expressed by /3/:<br />

( ω)<br />

R<br />

R<br />

=<br />

1<br />

1 + ω τ<br />

2 2<br />

0 th<br />

where R0 is the DC responsivity. That means that the output voltage U(t) of a pixel follows an input<br />

step exponentially:<br />

U() t<br />

( →∞)<br />

U t<br />

= 1 −e<br />

t<br />

−<br />

τ th<br />

Figure 1 shows the output signal after an input step. After a time > 3τth the output becomes 95 % of<br />

its final value. This time is usually called response time (see table 1). The response time is the minimum<br />

time to be waited for after the object temperature is changed. After t > 6τth 99 % of the final<br />

value are reached.<br />

output<br />

1<br />

0,9<br />

0,8<br />

0,7<br />

0,6<br />

0,5<br />

0,4<br />

0,3<br />

0,2<br />

0,1<br />

2.2 Frame rate<br />

7 ms<br />

15 ms<br />

0<br />

0 10 20 30 40 50<br />

time in ms<br />

Figure 1: Output signal after an input step (Parameter: time constant τth)<br />

The maximum of the frame rate is specified by the ROIC. Usually, the analog output amplifier of<br />

the ROIC gives the maximum of the pixel frequency. Typical pixel frequencies for different frame<br />

rates and usable focal plane array sizes are given in table 2. Practically, the pixel frequencies are<br />

slightly higher due to extra clocks for the ROIC. For large FPAs, two analog outputs are usable.<br />

Frame rate<br />

Size 50 Hz 100 Hz 200 Hz<br />

320 × 240 3.84 MHz 7.68 MHz 15.36 MHz<br />

384 × 288 5.53 MHz 11.1 MHz 22.1 MHz<br />

640 × 480 15.36 MHz 30.72 MHz 61.44 MHz<br />

Table 2: Pixel frequency<br />

(2)<br />

(3)

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