June 2006
Intermediate to advanced
336 pages
10h 24m
English
Content preview from Demystifying Switched Capacitor Circuits
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Switched-Capacitor Data Converters
149
is the maximum allowable value of the sampling-time uncertainty if the output needs
to maintain a 9-bit ENOB?
Solution: Based on Equation (5.24), we can obtain the following:
σ
π
ap_max
.=
⋅⋅ ×
≈
1
2 250 10
124
10 6
ps (5.25)
From Equation (5.20) we obtain the equivalent SNR for a 9-bit ENOB:
SNR =×+=602 9 176 5594...dB (5.26)
Utilizing Equation (3.69), we write the theoretical SNR limit due to aperture jitter:
SNR f
l
ll
=− ⋅ ⋅
=− ⋅ × ⋅
20 2
2
20 2 250 10
2
6
lg lg
π
σ
π
σ
≥ SNR (5.27)
Hence,
σ
l
≤144. ps (5.28)
The foregoing development indicates that Equation (5.24) provides a tight suffi cient
condition for maintaining ...
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