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
225010
124
106
ps(5.25)
From Equation (5.20) we obtain the equivalent SNR for a 9-bit ENOB:
SNR=×+=60291765594...dB(5.26)
Utilizing Equation (3.69), we write the theoretical SNR limit due to aperture jitter:
SNRf
l
ll
=−⋅⋅
=−⋅×⋅
202
2
20225010
2
6
lglg
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 sufficient
condition for maintaining ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month, and much more.