Cascode
The cascode is a two-stage amplifier that consists of a common-emitter stage feeding into a common-base stage.
Compared to a single amplifier stage, this combination may have one or more of the following characteristics: higher input–output isolation, higher input impedance, high output impedance, higher bandwidth.
In modern circuits, the cascode is often constructed from two transistors, with one operating as a common emitter or common source and the other as a common base or common gate.
The cascode improves input–output isolation, as there is no direct coupling from the output to input. This eliminates the Miller effect and thus contributes to a much higher bandwidth.
History
The use of a cascode is a common technique for improving analog circuit performance, applicable to both vacuum tubes and transistors. The name "cascode" was coined in an article written by Frederick Vinton Hunt and Roger Wayne Hickman in 1939, in a discussion on the application of voltage stabilizers. They proposed a cascode of two triodes as a replacement for a pentode, and so the name may be assumed to be an abbreviation of "cascode".Operation
Figure 1 shows an example of a cascode amplifier with a common-source amplifier as the input stage driven by a signal source, Vin. This input stage drives a common-gate amplifier as the output stage, with output signal Vout.As the lower FET is conducting, by providing a gate voltage, the upper FET conducts due to the potential difference now appearing between its gate and source.
The major advantage of this circuit arrangement stems from the placement of the upper field-effect transistor as the load of the input FET's output terminal. Because at operating frequencies the upper FET's gate is effectively grounded, the upper FET's source voltage is held at nearly constant voltage during operation. In other words, the upper FET exhibits a low input resistance to the lower FET, making the voltage gain of the lower FET very small, which dramatically reduces the Miller effect feedback capacitance from the lower FET's drain to gate. This loss of voltage gain is recovered by the upper FET. Thus, the upper transistor permits the lower FET to operate with minimal negative feedback, improving its bandwidth.
The upper FET gate is electrically grounded, so charge and discharge of the stray capacitance, Cdg, between drain and gate is simply through RD and the output load, and the frequency response is affected only for frequencies above the associated RC time constant τ = Cdg RD//Rout, namely f = 1/, a rather high frequency because Cdg is small. That is, the upper FET gate does not suffer from Miller amplification of Cdg.
If the upper FET stage were operated alone using its source as input node, it would have a good voltage gain and wide bandwidth. However, its low input impedance would limit its usefulness to very low-impedance voltage drivers. Adding the lower FET results in a high input impedance, allowing the cascode stage to be driven by a high-impedance source.
If one were to replace the upper FET with a typical inductive/resistive load and take the output from the input transistor's drain, the CS configuration would offer the same input impedance as the cascode, but the cascode configuration would offer a potentially greater gain and much greater bandwidth.
Stability
The cascode arrangement is also very stable. Its output is effectively isolated from the input both electrically and physically. The lower transistor has nearly constant voltage at both drain and source, and thus there is essentially "nothing" to feed back into its gate. The upper transistor has nearly constant voltage at its gate and source. Thus, the only nodes with significant voltage on them are the input and output, and these are separated by the central connection of nearly constant voltage and by the physical distance of two transistors. Thus in practice there is little feedback from the output to the input. Metal shielding is both effective and easy to provide between the two transistors for even greater isolation when required. This would be difficult in one-transistor amplifier circuits, which at high frequencies would require neutralization.Biasing
As shown, the cascode circuit using two "stacked" FETs imposes some restrictions on the two FETs — namely, the upper FET must be biased so its source voltage is high enough. Ensurance of this condition for FETs requires careful selection for the pair or special biasing of the upper FET gate, increasing cost.The cascode circuit can also be built using bipolar transistors, or MOSFETs, or even one FET and one BJT. In the latter case, the BJT must be the upper transistor, otherwise the BJT will always saturate, unless extraordinary steps are taken to bias it. This circuit arrangement was very common in VHF television tuners when they employed vacuum tubes.
Advantages
The cascode arrangement offers high gain, high bandwidth, high slew rate, high stability, and high input impedance. The parts count is very low for a two-transistor circuitDisadvantages
The cascode circuit requires two transistors and requires a relatively high supply voltage. For the two-FET cascode, both transistors must be biased with ample VDS in operation, imposing a lower limit on the supply voltage.Dual-gate version
A dual-gate MOSFET often functions as a "one-transistor" cascode. Common in the front ends of sensitive VHF receivers, a dual-gate MOSFET is operated as a common-source amplifier with the primary gate connected to the input and the second gate grounded. Internally, there is one channel covered by the two adjacent gates; therefore, the resulting circuit is electrically a cascode composed of two FETs, the common lower-drain-to-upper-source connection merely being that portion of the single channel that lies physically adjacent to the border between the two gates.Mixer in superheterodyne receivers
A cascode circuit is very useful as a multiplying mixer circuit in superheterodyne receivers. At the lower gate the RF signal is fed to the mixer, and at the upper gate the local oscillator signal is fed to the mixer. Both signals are multiplied by the mixer, and the difference frequency, the intermediate frequency, is taken from the upper drain of the cascode mixer.This was further developed by cascoding whole differential-amplifier stages to form the balanced mixer, and then the Gilbert cell double-balanced mixer.
Other applications
With the rise of integrated circuits, transistors have become cheap in terms of silicon die area. In MOSFET technology especially, cascoding can be used in current mirrors to increase the output impedance of the output current source.A modified version of the cascode can also be used as a modulator, particularly for amplitude modulation. The upper device supplies the audio signal, and the lower is the RF amplifier device.
A cascode may also be combined with a voltage ladder to form a high-voltage transistor. The input transistor may be of any low-UCEO type, while the others, acting as stacked linear series voltage regulators, should be able to withstand a considerable fraction of the supply voltage. Note that for a large output-voltage swing, their base voltages should not be bypassed to ground by capacitors, and the uppermost ladder resistor should be able to withstand the full supply voltage.
This shows that a linear series voltage regulator is actually a current buffer with its input and output designations swapped.
Two-port parameters
The cascode configuration can be represented as a simple voltage amplifier by using its input impedance, output impedance, and voltage gain. These parameters are related to the corresponding g-parameters below. Other useful properties not considered here are circuit bandwidth and dynamic range.BJT cascode: low-frequency small-signal parameters
The idealized small-signal equivalent circuit can be constructed for the circuit in figure 2 by replacing the current sources with open circuits and the capacitors with short circuits, assuming they are large enough to act as short circuits at the frequencies of interest. The BJTs can be represented in the small-signal circuit by the hybrid-pi model.| Definition | Expression | |
| Voltage gain | ||
| Input resistance | ||
| Output resistance |
MOSFET cascode: low-frequency small-signal parameters
Similarly, the small-signal parameters can be derived for the MOSFET version, also replacing the MOSFET by its hybrid-pi model equivalent. This derivation can be simplified by noting that the MOSFET gate current is zero, so the small-signal model for the BJT becomes that of the MOSFET in the limit of zero base current:where VT is the.
| Definition | Expression | |
| Voltage gain | ||
| Input resistance | ||
| Output resistance |
The combination of factors gmrO occurs often in the above formulas, inviting further examination. For the bipolar transistor this product is :
In a typical discrete bipolar device the Early voltage VA ≈ 100 V and the thermal voltage near room temperature is VT ≈ 25 mV, making gmrO ≈ 4000, a rather large number. From the article on hybrid-pi model, we find for the MOSFET in the active mode:
At the 65-nanometer technology node, ID ≈ 1.2 mA/μ of width, supply voltage is VDD = 1.1 V; Vth ≈ 165 mV, and Vov = VGS-Vth ≈ 5%VDD ≈ 55 mV. Taking a typical length as twice the minimum, L = 2 Lmin = 0.130 μm and a typical value of λ ≈ 1/, we find 1/λ ≈ 2 V, and gmrO ≈ 110, still a large value. The point is that because gmrO is large almost regardless of the technology, the tabulated gain and the output resistance for both the MOSFET and the bipolar cascode are very large. That fact has implications in the discussion that follows.
Low-frequency design
The g-parameters found in the above formulas can be used to construct a small-signal voltage amplifier with the same gain, input and output resistance as the original cascode. This circuit applies only at frequencies low enough that the transistor parasitic capacitances do not matter. The figure shows the original cascode and the equivalent voltage amplifier or g-equivalent two-port. The equivalent circuit allows easier calculations of the behavior of the circuit for different drivers and loads. In the figure a Thévenin equivalent voltage source with Thévenin resistance RS drives the amplifier, and at the output a simple load resistor RL is attached. Using the equivalent circuit, the input voltage to the amplifier is :which shows the importance of using a driver with resistance RS << Rin to avoid attenuation of the signal entering the amplifier. From the above amplifier characteristics, we see that Rin is infinite for the MOSFET cascode, so no attenuation of input signal occurs in that case. The BJT cascode is more restrictive because Rin = rπ2.
In a similar fashion, the output signal from the equivalent circuit is
In low-frequency circuits, a high voltage gain is typically desired, hence the importance of using a load with resistance RL >> Rout to avoid attenuation of the signal reaching the load. The formulas for Rout can be used either to design an amplifier with a sufficiently small output resistance compared to the load or, if that cannot be done, to decide upon a modified circuit, for example, to add a voltage follower that matches the load better.
The earlier estimate showed that the cascode output resistance is very large. The implication is that many load resistances will not satisfy the condition RL >> Rout. However, the failure to satisfy the condition RL >> Rout is not catastrophic because the cascode gain also is very large. If the designer is willing, the large gain can be sacrificed to allow a low load resistance; for RL << Rout the gain simplifies as follows:
This gain is the same as that for the input transistor acting alone. Thus, even sacrificing gain, the cascode produces the same gain as the single-transistor transconductance amplifier, but with wider bandwidth.
Because the amplifiers are wide bandwidth, the same approach can determine the bandwidth of the circuit when a load capacitor is attached. The assumption needed is that the load capacitance is large enough that it controls the frequency dependence, and bandwidth is not controlled by the neglected parasitic capacitances of the transistors themselves.