Analog

CMOS OTA (operational transconductance amplifier)

By CourseTron Team ·  7 min read ·  Updated Oct 2026 💬 𝕏 in f
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    In short: A CMOS OTA is a transconductance amplifier whose output current is set by its differential input voltage through the transconductance gm. The telescopic cascode gives the highest gain and speed but a tight output swing, while the folded cascode trades a little gain and power for much wider swing and an input range that can include the supply rails.

    What Is a CMOS OTA?

    A cmos ota (operational transconductance amplifier) is an amplifier that converts a differential input voltage into an output current. Unlike a classic op-amp that is designed to drive resistive loads through a low-impedance output buffer, an OTA presents a high-impedance current output and is almost always used to drive capacitive loads such as the sampling capacitor of an ADC or the compensation network of a switched-capacitor filter. This single-stage philosophy is what makes the OTA the workhorse of analog CMOS design.

    The defining parameter is the transconductance, gm, which links input and output:

    • iout = gm · vin — the small-signal output current for a differential input vin.
    • The DC voltage gain is simply Av = gm · Rout, where Rout is the output resistance seen at the high-impedance node.
    • For a MOSFET in saturation, gm = √(2 · μCox · (W/L) · ID), so gm grows with bias current and device width.

    Because the gain depends on Rout, designers chase large output resistance — and that is exactly why cascode structures dominate OTA topologies.

    Key fact: An OTA's open-loop gain is set by one product, gm · Rout. Cascoding multiplies Rout by roughly the intrinsic gain gmro of the cascode device (often 20–100×) without adding a second gain stage, which keeps the amplifier single-pole and easy to compensate.

    How gm Sets Gain and Speed

    The transconductance does double duty. It sets the gain through gm · Rout, and it sets the speed through the unity-gain frequency of a capacitively loaded stage, ωu = gm / CL. That coupling is the central tension in OTA design: you want gm large for both gain and bandwidth, but larger gm usually means more bias current or wider devices, both of which cost power and area.

    OTA: voltage in, current outOTA corei = gm · vdiff pair + cascode loadV+V−i_outC_LGain = gm·R_out Unity-gain frequency ω_u = gm / C_LCourseTron · coursetron.com
    A CMOS OTA turns differential voltage into a current that charges the load capacitance; gain is gm·Rout and bandwidth is gm/CL.

    Telescopic Cascode OTA

    The telescopic cascode stacks cascode transistors directly on top of the input differential pair and its current-source load, all in one vertical "telescope" of devices between the rails. This is the most power- and speed-efficient OTA because every branch carries the same current, and there are no extra poles from mirror nodes.

    • Gain: very high, roughly Av ≈ gm · (gmro)2 because both the top PMOS cascode and the bottom NMOS cascode boost Rout.
    • Speed: excellent — the mirror pole is pushed far out, so it is favored in high-speed pipeline ADCs.
    • Weakness: output swing. Stacking five transistors (tail + pair + two cascodes + load) burns several VDSsat drops, so the swing shrinks to roughly VDD − 4·VDSsat − Vtail. Input common-mode range is also narrow, and input and output cannot share the same node (no unity-gain follower connection).

    Folded Cascode OTA

    The folded cascode "folds" the signal path: the drain current of the input pair is steered into a cascode branch biased from the opposite rail, rather than stacked on top of the pair. By separating the input-pair bias from the cascode-output bias, the topology relaxes nearly every limitation of the telescopic version at a modest cost.

    • Output swing: wider, because the input devices no longer sit in the output stack — two fewer VDSsat drops in the signal swing.
    • Input range: can extend to (and sometimes beyond) one supply rail, enabling unity-gain buffer connections.
    • Cost: the folding node carries the sum of two bias currents, so it draws roughly 2× the current of a telescopic design for the same gm, and it adds a non-dominant pole at the fold, slightly lowering bandwidth and raising noise.
    Telescopic vs folded signal pathTelescopicFoldedPMOS loadPMOS cascodeNMOS cascodeInput pairTail sourceoutInput pairTail sourcePMOS loadPMOS cascodeNMOS cascodeNMOS sinkfold nodeTelescopic: 5 devices stacked, signal climbs one branch. Folded: signal turns into a separate cascode branch.CourseTron · coursetron.com
    Signal current (blue) climbs one stack in the telescopic OTA, but is folded sideways into a separate cascode branch in the folded version — the reason its output swing and input range are wider.

    Output Swing and Design Trade-offs

    Output swing is the headroom the output node can travel before a cascode device leaves saturation. Every stacked transistor steals roughly one VDSsat (~100–200 mV each) from the available range, so swing is the currency you spend to buy gain. A practical way to read the two topologies:

    • Need maximum gain and speed, modest swing is fine? Telescopic cascode — common in high-speed, high-resolution ADC front-ends at higher supply voltages.
    • Need wide swing, rail-friendly input, or unity-gain feedback? Folded cascode — the default choice in low-voltage, general-purpose SC circuits.
    • Need both high gain AND wide swing? Add gain-boosting (regulated cascode) to a folded cascode, recovering telescopic-class gain without the swing penalty.

    Designers also watch phase margin: the dominant pole sits at the output node (gm/CL), and the folding/mirror node sets the first non-dominant pole, which must stay well above the unity-gain frequency for stability.

    Where the headroom goes (V_DD rail to rail)TelescopicV_tailV_DSsatV_DSsatV_DSsatV_DSsatOutput swing (V_DD − 4·V_DSsat − V_tail)Folded cascodeV_DSsatV_DSsatOutput swing (V_DD − 2·V_DSsat)Orange = headroom spent on stacked devices. Blue = usable swing. Not to scale.CourseTron · coursetron.com
    Illustrative headroom budget: the telescopic stack spends about four VDSsat drops plus Vtail, while the folded cascode spends two fewer.
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    cmos ota — FAQ

    What is the difference between an OTA and an op-amp?

    An op-amp is designed to output a voltage into resistive loads through a low-impedance buffer stage, while an OTA outputs a current from a high-impedance node and is meant to drive capacitive loads. In integrated CMOS, the OTA is usually the native building block because it stays single-stage and is simple to compensate.

    Why does the folded cascode OTA consume more power?

    Its folding node must sink the input-pair current plus the cascode branch bias current simultaneously, so for an equal transconductance it typically draws about twice the current of a telescopic design. You pay that power for a wider output swing and a rail-inclusive input range.

    How is the gain of a CMOS OTA increased without a second stage?

    By raising the output resistance. Cascoding multiplies Rout by the cascode device's intrinsic gain, and gain-boosting (a regulated/active cascode) adds a local feedback amplifier that multiplies it again, reaching 80–100 dB while keeping the amplifier single-pole.

    What limits the output swing in a telescopic OTA?

    The number of stacked transistors between the supplies. Each device needs at least its VDSsat to stay in saturation, so with a tail plus two cascode levels the usable swing shrinks to roughly VDD minus four saturation drops minus the tail headroom.

    Related: op-amp design basics · Glossary · all courses.

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