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3 +VCC2 = +VCC1/2 4 R2 = 1 89 fr C1
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A Quick Example Design an Active Highpass Filter (Fig 677) Goal: Create an audio-frequency active highpass filter with a positive supply The specifications and parameters for the circuit are: fr(3 dB) = 20 kHz VCC = +5 V and +25 V Order = second Response = Butterworth Gain = unity Solution: 1 C1 = 5 nF 2 C2 = 5 nF 3 R1 = 2252 4 R2 = 1123 5 COUT = 2500 nF
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A Butterworth Audio Bandpass Filter, 20-dB Gain, Narrowband, Single Supply (Fig 678)
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3 +VCC2 = +VCC1/2 4 R3 = 19 R1 5 R2 = R1/19 6 CIN = COUT = 500 C1
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A Quick Example Design an Active Bandpass Filter (Fig 678) Goal: Create a low-frequency active bandpass filter with a positive supply The specifications and parameters for the circuit are: fr(3 dB) = 195 to 215 kHz VCC = +5 V and +25 V Order = first Response = Butterworth Gain = +20 dB Solution: 1 C1 = 5 nF 2 C2 = 5 nF 3 R1 = 1592
Six
R3 C1 5n
+5 VCC C2 5 nR + + U1 + + +25 VCC ac lin 500 1000 50000 LT 1815 5 V 25 V
CIN + 2500 n V2
R1 1592
COUT OUTPUT 2500 n
V(output) 20dB
15 dB 10 dB 5 dB 0dB
5 dB
10 dB 15 dB 20 dB 25 dB
30 dB 1 kHz
6 KHz 11 KHz 16 KHz 21 KHz 26 KHz 31 KHz 36 KHz 41 KHz 46 KHz
20 kHz
50 kHz
FIGURE 678 An active op-amp bandpass lter example for 195 to 215 kHz, with its frequency response
4 R2 = 84 5 R3 = 3025 k 6 CIN = 2500 nF 7 COUT = 2500 nF
67 Tunable Filters
671 Introduction
A filter that can change frequency with the application of a control voltage across it can be an invaluable asset in the design of receivers and transmitters in today s packed spectrum Certain wideband transmitter frequency conversion stages may also benefit
Filter Design
by allowing the selective filtering of excessive local oscillator feedthrough from entering the IF or RF stages This electrical tunability is most simply and effectively accomplished with the use of varactor diodes within the filter s network Single varactors are easily capable of changing capacitance from 063 to 267 pF, all the way up to 38 to 20 pF (and above), by the placement of a 0 to 20-V control voltage This range of capacitances is perfect for most high-frequency tunable filter designs
672 Tunable Filter Design
Below are presented two tunable RF filter designs, ideal for many diverse wireless applications The top inductively coupled variable bandpass filter will be a better performer than the capacitively coupled variable bandpass filter in wideband applications
Capacitively Coupled Variable Bandpass Filter, 50 (Fig 679)
To Design
1 Design a basic top capacitively coupled bandpass filter (Fig 680) with any standard RF filter design program, such as the included AADE Filter Designer software Select a center frequency for the top capacitively coupled bandpass filter at either the high end, low end, or middle of the tunable range of the desired bandpass frequencies, depending on the initial tuning voltages you plan to supply to the tuning varactors 2 Now, remove C1 and C2 of Fig 680, add the replacement components of CV (a varactor diode) and CT, along with the bias resistors of R1 and R2, as shown
TANK
TANK
CT L1
50
CS CV R1 R1 CV
50
VTUNE R2
FIGURE 679
A tunable BPF employing varactor diodes
Six
50
50
TANK
TANK
FIGURE 680
A typical capacitor-coupled BPF used as the prototype for the tunable design
in Fig 679 R1 isolates the two varactors from the effects of each other and, with R2, prevents a direct RF short to ground through VTUNE; CT blocks the DC inserted by VTUNE from being shorted by L1 or L2; CV supplies the variable tuning capacitance; CC couples the two tank circuits consisting of L1 and CT/CV, and L2 and CT/CV Select an R1 of 24 k each, and an R2 of 100 k If VTUNE is to be located at 10 V with a 20-V varactor, then choose a varactor diode (CV) that has a value of C1 in the center of the varactor s capacitance range, then select a CT that is approximately 10 times this value The capacitance of the series combination of CT and CV, in series, is: CT CV CT + CV This is essentially the value of CV alone due to the high capacitance of CT And since the value of C1 and C2 in Fig 680 must equal this series combination of CT and CV of Fig 679, then CT is functioning only as a DC blocking capacitor, while CV, the varactor, is supplying all of the tuning capacitance for the filter s tanks 3 Apply the tuning voltage VTUNE that will allow the varactor to either linearly tune the filter to its maximum and minimum values or, by supplying VTUNE with discrete voltages, we can filter in discrete steps Due to parasitic capacitances and inductances at these frequencies, the finished filter will have to optimize in software, using the appropriate components and pad/trace models 4 Since varactors are extremely limited in the value of their maximum capacitance, and we may want to operate this filter at or below the VHF region, then we need some way of increasing the capacitance of the CT and CV combination (since C1 and C2 would need to be increased in value to operate at decreasing frequencies) The simple way of raising this over-all capacitance level of the
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