All practical analog-to-digital converters (A/D) must quantize
the input data. This can be modeled as an ideal sampler followed
by a
BB-bit quantizer.
The signal-to-noise ratio (SNR) of an A/D is
SNR=10log10
P
x
P
n
=10log10
P
x
-10log10
Δ
B
212=10log10
P
x
+4.77+6.02B
SNR
10
10
P
x
P
n
10
10
P
x
10
10
Δ
B
2
12
10
10
P
x
4.77
6.02
B
(1)
where
P
x
P
x
is the power in the signal and
P
n
P
n
is the power of the quantization noise, which equals its
variance if it has a zero mean. The SNR increases by 6dB with
each additional bit.