Question:
A CCD array element in a remote sensing sensor measures incoming radiation and its output voltage varies linearly between 0 V to 5 V. This voltage is converted to an 8-bit digital image using an analogue to digital convertor (ADC). The ADC has a linear response without bias or noise. If the output image pixel has a digital number of 100, the input voltage to the ADC would be __________ V (rounded off to 2 decimal places).
A CCD array element in a remote sensing sensor measures incoming radiation and its output voltage varies linearly between 0 V to 5 V. This voltage is converted to an 8-bit digital image using an analogue to digital convertor (ADC). The ADC has a linear response without bias or noise. If the output image pixel has a digital number of 100, the input voltage to the ADC would be __________ V (rounded off to 2 decimal places).
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For an 8-bit image, divide the voltage range by 255 to find voltage per digital number. Multiply it by the DN to get input voltage.
Updated On: Apr 17, 2025
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Solution and Explanation
For an 8-bit system, the digital number (DN) can range from 0 to 255.
The voltage corresponding to each DN level is given by:
\[ {Voltage \, per \, DN} = \frac{5\,{V}}{255} \approx 0.0196\,{V} \] If the DN = 100, then:
\[ {Voltage} = 100 \times 0.0196 = 1.96\,{V} \]
Final Answer: \(\boxed{1.96 \, V}\)
The voltage corresponding to each DN level is given by:
\[ {Voltage \, per \, DN} = \frac{5\,{V}}{255} \approx 0.0196\,{V} \] If the DN = 100, then:
\[ {Voltage} = 100 \times 0.0196 = 1.96\,{V} \]
Final Answer: \(\boxed{1.96 \, V}\)
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