GATE EC 2024 Set 1 — Question 46
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Question
A full scale sinusoidal signal is applied to a 10-bit ADC. The fundamental signal component in the ADC output has a normalized power of W, and the total noise and distortion normalized power is W. The effective number of bits (rounded off to the nearest integer) of the ADC is _______.
Correct answer
(B) 8
Solution
The Signal-to-Noise and Distortion Ratio (SINAD) is given by:In decibels:The Effective Number of Bits (ENOB) is calculated using the formula:Rounding to the nearest integer, we get .
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