3.23 (a) By proper manipulation, put the wideband band-pass function of Eq. (3.29a) in the standard form H(ja) = HOBP HBP. (b) Show that no matter how you select @ and @H, the Q of that filter can never exceed. This is why the filter is called wideband. HBP(jw) H(jo) = Ho Ho= (jw/wo)/Q 1-(w/wo)² + (jw/wo)/Q jw/wL (1 + jw/wL)(1+jw/w) R₂ 1 R1 R1C1 WL = WH = 1 R2C2 (3.29a) (3.29b)

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3.23 (a) By proper manipulation, put the wideband band-pass function of Eq. (3.29a) in the
standard form H(ja) = HOBP HBP. (b) Show that no matter how you select wi and wh,
the Q of that filter can never exceed. This is why the filter is called wideband.
HBP(jw) =
H(jw) = Ho
Но
Ho=
(jw/wo)/Q
1 − (w/wo)² + (jw/wo)/Q
jw/wL
(1 + jw/wL)(1+ jw/wH)
R₂
R₁
WL =
1
R₁C1
WH=
1
R2C2
(3.29a)
(3.29b)
Transcribed Image Text:3.23 (a) By proper manipulation, put the wideband band-pass function of Eq. (3.29a) in the standard form H(ja) = HOBP HBP. (b) Show that no matter how you select wi and wh, the Q of that filter can never exceed. This is why the filter is called wideband. HBP(jw) = H(jw) = Ho Но Ho= (jw/wo)/Q 1 − (w/wo)² + (jw/wo)/Q jw/wL (1 + jw/wL)(1+ jw/wH) R₂ R₁ WL = 1 R₁C1 WH= 1 R2C2 (3.29a) (3.29b)
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