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Switched-Capacitor Circuits - University of Toronto

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Fully-Differential Filters<br />

• Most modern SC filters are fully-differential<br />

• Difference between two voltages represents signal<br />

(also balanced around a common-mode voltage).<br />

• Common-mode noise is rejected.<br />

• Even order distortion terms cancel<br />

v 1<br />

– v1<br />

nonlinear<br />

element<br />

nonlinear<br />

element<br />

v p1<br />

v n1<br />

=<br />

=<br />

<strong>University</strong> <strong>of</strong> <strong>Toronto</strong><br />

<strong>University</strong> <strong>of</strong> <strong>Toronto</strong><br />

2 3 4<br />

k1v + k<br />

1 2v1 + k3v1 + k4v1 + <br />

+<br />

-<br />

v diff<br />

2<br />

=<br />

3 5<br />

2k1v + 2k<br />

1 3v1 + 2k5v 1 + <br />

– k1v + k<br />

1 2v1 – k3v1 + k4v1 +<br />

Fully-Differential Filters<br />

C 1<br />

2 2<br />

3<br />

CA 2 4 <br />

+<br />

<br />

C2 1<br />

1 +<br />

Vi() z<br />

Vo() z<br />

<br />

1 1<br />

-<br />

-<br />

C2 2<br />

C 1<br />

2<br />

C 3<br />

C 3<br />

C A 2<br />

1<br />

1<br />

31 <strong>of</strong> 60<br />

© D. Johns, K. Martin, 1997<br />

32 <strong>of</strong> 60<br />

© D. Johns, K. Martin, 1997

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