AdvancedA-005-007-005
Adding one bit to the word length, is equivalent to adding ____ dB to the dynamic range of the digitizer:
A
Answer
Antennas and transmission lines
Type
A
6 dB
B
3 dB
C
4 dB
D
1 dB
Answer Notes
In digital signal processing, an analog-to-digital converter (ADC) represents continuous signals as discrete binary values. Adding one bit to the word length doubles the number of discrete quantization levels available to represent the signal.
Because ADC bit depth determines voltage resolution, doubling the voltage levels corresponds to a factor of 2. In decibels, a voltage ratio of 2 is calculated as 20 * log10(2), which evaluates to approximately 6.02 dB.
Therefore, every additional bit added to an ADC's word length increases the theoretical dynamic range by 6 dB. The 3 dB option is a common distractor, but it incorrectly applies the rule for doubling power rather than voltage.
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