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  Analog Avenue

    Tech Notes

Variable Gain Amplifiers and their Applications
By Debbie Brandenburg,
Applications Engineer, National Semiconductor

Variable Gain Amplifiers (VGAs) provide a voltage-controlled gain block coupled with a current-feedback output amplifier. The user sets the maximum gain of the VGA and can vary the VGA's gain by applying a voltage to the gain control input. VGAs can be used in a variety of applications. This article will discuss the internal basics of a VGA and explore several possible applications as:

  • Automatic gain control loops
  • Digital gain controls
  • Variable frequency filters
  • Differential equalizing cable receivers with adjustable gain

    Fig. 1 illustrates the internal block diagram of a typical VGA. The VGA combines a closed-loop input buffer, a voltage-controlled variable gain cell, and an output amplifier. The input buffer is a transconductance stage whose gain is set by the gain-setting resistor, Rg. The output amplifier is a current feedback amplifier and is configured as a transimpedance stage whose gain is set by, and equal to, the feedback resistor, Rf. The maximum gain, AVmax, is defined by the ratio of Rf/Rg. As the gain control input (Vg) is adjusted over its 0 to 2-V range, the gain is adjusted over a range of 80 dB relative to the maximum set gain.

    ChipCenter
    Figure 1: Internal block schematic of a typical VGA

    Typical VGA Configuration

    Fig. 2 illustrates a typical variable gain block and the maximum gain of this configuration is equal to Rf/Rg.

    ChipCenter
    Figure 2: Typical variable gain block

    Common Applications: Automatic Gain Control

    The most common application for high-speed VGAs is Automatic Gain Control (AGC) loops. The defined goal of an AGC circuit is to keep the output at a fixed level, given a varying input signal amplitude. Traditionally, an AGC circuit includes a variable-gain amplifier with an analog feedback loop to generate the necessary gain and attenuation control signal; typically, the feedback loop performs integration and rectification.

    Fig. 3 illustrates a VGA used in a typical AGC application. A dual voltage-feedback amplifier (VFA) is used to drive the gain control pin of the VGA. R1 and Ry set the gain of the rectifier. Rx, Ry, and C provide a time constant that sets the acquire and hold times. The adjustable resistor, Radj, sets the inverting pin of the integrator to the initial condition of +1 V. When the rms current of the signal is greater than the negative current of Radj, the integrator decreases the gain of the VGA. And when the signal drops below the Radj current, the VGA's gain is increased.

    ChipCenter
    Figure 3: Dual VFA controlling a VGA for AGC

    Digital Gain Control

    Digital variable-gain control can be easily realized by driving the gain control input of a VGA with a DAC. Fig. 4 shows a DAC, a JFET input op amp, and a VGA. With Vref set to 2 V, the circuit provides up to 80 dB of gain control in 512 steps, with up to 0.05% full-scale resolution. The maximum gain of this circuit is 20 dB.

    ChipCenter
    Figure 4: 512-step digital gain control circuit

    2nd Order Tunable Bandpass Filter

    The center frequency of the filter shown in Fig. 5 is adjusted through the use of the VGA's gain control voltage, Vg, while the integrators implemented with two VFAs, provide the coefficients for the transfer function.

    ChipCenter
    Figure 5: Using a VGA with differential inputs as a cable equalizer

    Differential Equalizing Cable Receiver The VGA used here has a differential input and realizing that the gain setting element can be used to shape the frequency response, an equalizing receiver can be implemented as shown in Fig. 6. The gain-setting network implements a series of zero/pole pairs that compensate for the 1/ChipCenter roll-off of various cables. At low frequencies the gain starts out set by only Rgo. The resistor and capacitor values are set such that C3, C2, and C1 short out sequentially, smoothly increasing the gain by placing a decreasing impedance in parallel with Rgo. Additional RC pairs can be added to improve the approximation. In this circuit, the maximum high frequency current in the gain setting network will be set by Rg1 paralleled with/ Rgo.

    ChipCenter
    Figure 6

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