June 2006
Intermediate to advanced
336 pages
10h 24m
English
Content preview from Demystifying Switched Capacitor Circuits
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Demystifying Switched-Capacitor Circuits
202
Yz
Uz Hz bb E z
Hz abb H
1
2
12 1
2
112
(
)
=
(
)
⋅
(
)
[]
+
(
)
(
)
[]
+ zzab
(
)
+
22
1
(5.76)
Similarly, we can write the system function for the second stage of the modulator
as follows:
Ezf Yza Yzg Ezg Hzb Y
11232121 32
(
)
−
(
)
−
(
)
+
(
)
[]
⋅
(
)
− zza Hzb E z
Yz
(
){}
⋅
(
)
+
(
)
=
442
2
()
(5.77)
where Y
2
(z) and E
2
(z) are the z-domain expressions for the output of the second stage
(i.e., the second quantizer’s output), and the quantization noise generated by the
second stage, respectively. Rearranging, we obtain the expression for Y
2
(z) as follows:
Yz
Ezf Ezg Hz bb Ez
Hz
2
1121
2
34 2
(
)
=
(
)
+
(
)
[]
⋅
(
)
[]
+
(
)
((
)
[]
+
(
)
+
(
)
+
2
34 3 1 44
1bb a g H z ab
(5.78)
Thus ...
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