A full-scale sinusoidal waveform is applied to a 12-bit A/D converter, and the
output is digitally analyzed. If the fundamental has a normalized power of 1 W
while the remaining power is 0.5 µW, what is the effective number of bits for
the converter?
Using the expression for the SNR, we have
In this case, the signal-to-noise ration is found to be
Substituting this SNR value into the SNR expression yields
76.1N02.6SNR
eff
+=
dB63
105.0
1
log10
P
P
log10SNR
6
rema
.fund
=
×
=
=
−
bitseffective2.10
N
eff
=
−
=
Solution
Example 3 [Johns & Martin]
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