**Operational Transconductance Amplifier (OTA):**

The operational amplifiers considered up to this point have been voltage amplifiers. The input signal is a voltage and the output signal is a voltage. Another type of op-amp is an operational transconductance amplifier (OTA) which produces an output current proportional to an input voltage. The constant of proportionality is the transconductance of the amplifier. Thus, the OTA is voltage controlled current source (VCCS). There is usually an additional input for a current to control the amplifier’s transconductance. Ideally, the Operational Transconductance Amplifier has infinite input and output impedances, and the transconductance is assumed to be constant. However, real OTAs have noninfinite input and output impedances, and the transconductance is frequency dependent.

The IC OTAs are specially designed single chip transconductance amplifiers in which the input is voltage and the output is current such that

where g_{m} is the transconductance or gain of the OTA. The unique feature of an Operational Transconductance Amplifier is that g_{m }can be varied over a wide range by means of an external control current I_{c}. Usually, g_{m} is proportional to I_{c }so that

where

The typical range of I_{c} is 0.1 μA to 1 mA.

Normally, OTAs are operated without feedback in linear applications. This is possible because the magnitude of the resistance attached to its output controls its output voltage. The major drawback is that if the differential input signal is not small, it may lead to distortion. Typically input signal remains below 100 mV peak-to-peak.

Operational Transconductance Amplifier finds applications in implementing programmable amplifiers and integrators in audio- processing and electronic music synthesis. They are also employed as current switches in sample and hold applications. One of the important use of OTAs using VLSI technique is in neutral networks. Popular OTAs are LM 3080, LMI 3600/3700 (National Semiconductor) CA 3080 (RCA) and the NE 5517 (Signetics).

The simplified internal circuit diagram of an OTA is shown in Fig. 41.2.

Transistor pairs Q_{1} – Q_{2} form a differential amplifier. Transistors Q_{3} – Q_{4} accept the controlling current I_{c} whose value is being controlled by an external resistor R_{ext} and controlling voltage V_{c}. Since transistors Q_{3} – Q_{4} form current mirror,

Also, transistors Q_{5} – Q_{6} form current mirror, so that the current coming from collector of Q_{6} to Q_{9} duplicates I_{2}.

So that,

Again transistors Q_{9} – Q_{10} form current mirror pair so that

The transistors Q_{7} – Q_{8} form current mirror pair and collector current of Q_{8} duplicates I_{1} so that

Now, at the output, applying Kirchoff’s current law, we have,

The voltage gain of the amplifier can be expressed as

The transconductance g_{m} can be calculated as [behaving like diode]

where

I_{s} = Reverse saturation current of transistor Q_{1} or transistor Q_{2} (assuming same characteristics)

and V_{T} = Volt equivalent of temperature

Now the controlling current is given as

Multiplying numerator and denominator by exp

we have,

The above equation depicts that output current I_{out} is a function of differential voltage V_{in} i.e., (V_{1} – V_{2}). Thus a transconductance amplifier normally computes a tan-hyperbolic. For smaller range of inputs the output current behaves linearly and smoothly shifts to saturation. Transfer characteristic of OTA is given in Fig. 41.3.

Equation (41.11) can be assumed as

Transconductance,

The voltage gain,

Thus, the voltage gain of the Operational Transconductance Amplifier is controlled externally by a controlling current I_{c}.

**The OTA IC CA 3080 has few limitations as follows:**

- It behaves linearly only when I
_{out}< 400 μA and v_{in}< 20 mV. Thus input voltage is limited to 20 mV only. (See Eq. 41.15). - The inputs are fed directly to bases of transistors (Q
_{2}and Q_{1}) whose impedances are of the order of 10 kΩ to 30 kΩ. Therefore, loading effects may also occur when input signals are applied directly. Hence, op-amp voltage followers should be used to avoid loading effects.

**Principal Differences From Standard Op-Amps:** There are two main differences between the OTA and the conventional Op-amp:

- An Operational Transconductance Amplifier is a voltage controlled current source whereas the conventional op-amp is a voltage controlled voltage source (VCVS). OTA, being a current source, has a very high output impedance, in contrast to the op-amp’s very low output impedance. It is very well known that the low output impedance is a desirable feature in general amplifiers used to drive resistive loads.

- Another difference between OTAs and op-amps is that it is possible to design circuits using the OTA without using negative feedback. Thus, instead of using feedback for reducing the sensitivity of a circuits performance to device parameter, the transconductance g
_{m}is treated as a design parameter in place of resistors and capacitors in op-amps based circuits.