Design Ideas: March 28, 1996
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The -3-dB cutoff frequency is where s=j[smlomega]=j2[pi]f.
For the overall filter stage to achieve high bandwidth, you need to use extremely high-bandwidth parts for each amplifier. For example, to achieve an overall -3-dB bandwidth of 50 MHz requires using parts such as the CLC522 variable-gain amplifier and the CLC420 voltage-feedback amplifier. The CLC522 has a bandwidth of 330 MHz at a gain of 2, and the CLC420 has a unity-gain bandwidth of 300 MHz.
Figure 2a shows a second-order filter using these same amplifiers. Each variable-gain amplifier (IC2 and IC4) takes a voltage input and produces a scaled output-voltage gain. External resistors RG and RF set the maximum gain. The external control voltage, VG, controls the amount of attenuation. The output voltage is
where IRG is the current through RG. You can use the typical current IRG to calculate RG as RG=VIN/IRG, where VIN is the peak voltage, and IRG is typically 1.8 mA. The maximum VINand maximum gain determine the frequency response of IC2 and IC4. The Miller integrator attenuates the signal level over the frequency range. Therefore, the maximum input voltage of the variable-gain amplifier must meet the amplitude of the preceding integrators frequency and voltage output.
Figure 2as design sets the cutoff frequency of each integrator at a low enough frequency to match the input voltage range for IC2 and IC4. The -3-dB frequency of the first integrator is 2.6 MHz, and the frequency of the second integrator is 1.6 MHz. These choices allow the delay of the second stages signal to match the first stages frequency response. The second stages gain is equal to 2 to account for the gain loss at the 50 Ohms load resistor.
You can use the circuit inFigure 2b to provide a digitally controlled tuning voltage to change the filters frequency response. The output of Figure 2b connects to the gain-control pins of IC1 and IC2 in Figure 2a. Figure 3a and b show the frequency response and group delay of the filter for various settings of VG. This level of performance strongly depends on proper layout, resistive terminations, and power-supply decoupling.