fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
fundamentals of engineering supplied-reference handbook - Ventech!
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180<br />
ELECTRICAL AND COMPUTER ENGINEERING (continued)<br />
Band-Pass Filters Band-Reject Filters<br />
H ( jω)<br />
0 ωLω 0 ωU ω<br />
1<br />
H( jω L) = H( jω U)<br />
= H ( jω0)<br />
2<br />
3-dB Bandwidth = BW = ωU −ω L<br />
Frequency Response<br />
V 1<br />
s<br />
H()<br />
s = = •<br />
V RC s + s R C + 1 LC<br />
R<br />
2<br />
1 1<br />
2<br />
P<br />
RR<br />
1<br />
= ω =<br />
R R LC<br />
1 2<br />
P 0<br />
1+ 2<br />
R2 RP<br />
1<br />
H(<br />
jω 0)<br />
= = BW =<br />
R + R R R C<br />
v 1<br />
+_<br />
1 2 1 P<br />
R1<br />
L<br />
2 2<br />
1<br />
2<br />
S<br />
C<br />
R 2<br />
S 1 2 0<br />
1 2 S<br />
+<br />
v 2<br />
_<br />
V R s<br />
H()<br />
s = = •<br />
V L s + sR L+ 1 LC<br />
R = R + R<br />
ω =<br />
R2 R2<br />
RS<br />
H(<br />
j ω 0)<br />
= = BW =<br />
R + R R L<br />
1<br />
LC<br />
H ( jω)<br />
0 ωL ω0 ωU ω<br />
⎡ 1 ⎤<br />
H( jω L) = H( jω<br />
U)<br />
= ⎢1 − ⎥ H (0)<br />
⎣ 2 ⎦<br />
3-dB Bandwidth = BW = ωU −ω L<br />
v1<br />
+_<br />
Frequency Response<br />
R 1<br />
C<br />
2 2<br />
2<br />
+<br />
1 S<br />
2<br />
S<br />
S 1 2 0<br />
+<br />
R2 v2<br />
V R s 1 LC<br />
H()<br />
s = = •<br />
V R s + sRC+ 1 LC<br />
R = R + R<br />
ω =<br />
R2 R2<br />
1<br />
H(0)<br />
= = BW =<br />
R + R R R C<br />
v 1<br />
+_<br />
_<br />
1 2 S S<br />
R1<br />
C<br />
L<br />
2 P<br />
2<br />
+<br />
1 1<br />
2<br />
P<br />
R 2<br />
1 2<br />
P 0<br />
1+ 2<br />
1 2 1<br />
+<br />
v2<br />
_<br />
1<br />
LC<br />
V R s 1 LC<br />
H()<br />
s = = •<br />
V R s + sR L+ 1 LC<br />
R<br />
RR<br />
1<br />
= ω =<br />
R R LC<br />
R2 RP RP<br />
H(0)<br />
= = BW =<br />
R + R R L
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