Electronic – Dead or alive: Operational transconductance amplifier

The schematic corresponds to a Precision Rectifier. This type of circuit is used as a half-wave rectifier signals whose amplitude is less than the threshold voltage of the diode.
The connection with an operational amplifier, linearizes transfer curve for a diode, making it more ideal. This allows rectify signals from virtually zero.

The diagrams that you have posted, corresponding to half-wave rectifiers. An improved implementation of a precision rectifier is:

^{simulate this circuit – Schematic created using CircuitLab}

For a full-wave recitifier, the assembly is:

^{simulate this circuit}

If this circuit you invert the connection of the diodes, you get the output pulses with positive polarity. In the circuit shown, the polarity of the pulse is negative.

Here, you can view a CI that implements a precision rectifier in this manner.

I didn't really want to provide this as an answer, but haven't figured out on the iPad app how to add it as a comment to your question. I am learning about OTAs right now and only recently within the past few months got the hang of regular op amps. Here is a YouTube video that I found helpful regarding the OTA and specifically how it differs from op amps. I've watched this video a bunch of times now and between that, playing around with the circuits on the data sheet, and reading what I can on the chip, I am getting the hang of basic functionality as a current controlled amplifier.

https://youtu.be/I8v0VGsxElA

As I understand it, here are a couple things that make the OTA different from a traditional op amp.

• It isn't generally used with feedback configurations. The output doesn't try to set itself so that the two inputs become equal
• The inverting and non inverting inputs should be no more than a few millivolts. You can set one of them to ground. Exceeding that limit on the input pins will cause the OTA to lose its linear gain properties. They have linearizing diodes to address this, but I haven't used them yet and don't really know how the work. One thing that I have seen people do is to apply the same signal to both inputs, but adding a really small divider resistor between the two inputs (like 100ohms) to make the signal at both inputs ever so slightly different.
• Different from a traditional op amp, the OTA uses a control current to set the gain (it does also use the difference of the input pins to a certain extent).
• not a difference but a word of caution: don't drive the I(abc) pin with more than 2mA! That is the max rating and if you look at the graphs on the data sheet that relate to I(abc) they keep the current below 1mA. Use an ammeter to be safe.

Another resource I would recommend is Ray Wilson's book on DIY analog synthesis, "Make: Analog Synthesizers". There is a section dedicated to the LM13700 that is very approachable and has practical circuits for anyone interested in building their own synth. I found it a lot easier to read than the Nuts and Volts magazine article on the LM13700 - which is still not bad considering that it pretty much goes through the datasheet schematics in more detail than the data sheet does.

I like the design where you can set the gain from a pin, but I need to better understand voltage to current conversions, and current sources before really using it for analog applications.

I wish you good luck with the OTA!