As soon as upon a time, in the event you cracked open the pages of IEEE Spectrum you might spot full-page advertisements for analog computers, boasting of their ease of use and even—within the case of 1 mannequin constructed right into a cart with wheels—their portability. Engineers related potentiometers and op-amps to arrange representations of knotty differential equations and skim the options as various output voltages. However then digital computer systems conquered all, making analog computing as out of date as radio coherers, mechanical televisions, and punched cards. Nearly.
Like different written-off applied sciences which have seen comebacks corresponding to vinyl records, Nixie tubes, and airships, analog computer systems have their adherents striving for a revival. In 2017, Yannis Tsividis wrote a function article for Spectrum describing his analysis at Columbia College into the possibilities of digital-analog hybrid computer chips. The digital factor presents ease of use, whereas the analog factor gives energy-efficient options to many real-world forms of issues.
When the article was revealed, I believed it made some compelling factors, however as an off-the-cuff experimenter I didn’t actually have a great on-ramp to analog computing. That modified final 12 months after I noticed that startup Anabrid was providing a brand-new analog machine, the US $513 THAT.
Anabrid’s important gig is creating hybrid analog-digital chips of the kind pioneered by Tsividis.
It’s THAT is meant to boost consciousness of the chances of contemporary analog computing. THAT is an acronym for The Analog Factor, and it’s a small open-source machine composed largely of discrete op-amp integrated circuits.
The THAT is smaller than the industrial-grade machines of yore, with simply eight potentiometers for setting parameters and 5 integrators, together with a set of supporting summers, inverters, comparators and so forth. However the THAT isn’t just a cut-down toy. A number of THATs will be chained collectively if extra processing energy is required, and a hybrid connection port is offered to make it simpler to interface a THAT with a digital laptop.
The THAT analog laptop [left] has sockets for connecting numerous elements, corresponding to integrators, that correspond to mathematical operations. I displayed its outputs utilizing an LCD display [top right], protoboard interface [middle right] and Arduino Uno [bottom right].James Provost
Just like the analog computer systems that after graced the commercials in Spectrum, the THAT is programmed by wiring up components that carry out mathematical features with quick patch cables. That you must present your personal strategy to show the THAT’s output voltages—for me it felt solely applicable to hook up an previous analog oscilloscope that I’d cadged from my older brother a while in the past on basic rules.
It was time to attempt some computing. Because it’s been a minute since I final took down Erwin Kreyszig’s Superior Engineering Arithmetic to ponder differential equations, I used to be glad to see that the THAT’s accompanying guide is chock-full of examples and patch diagrams. Quickly I used to be watching Euler spirals and simulations of neural spiking bloom into phosphorescent life, observing their evolution as I twisted potentiometers to regulate parameters.
It felt solely applicable to hook up an previous analog oscilloscope I’d cadged from my older brother.
However I needed to check out the hybrid method. The pure selection was to construct on Anabrid’s demo patch for a lunar-lander recreation: beginning above the floor with a restricted quantity of gasoline, a spacecraft is in grip of the moon’s gravity. The participant should management the spacecraft’s engine throttle by turning a potentiometer in order that the spacecraft lands earlier than the gasoline runs out.
With an oscilloscope, the sport lacks a sure visible élan, with the gasoline and altitude readings displayed as two horizontal traces. And a crucial factor of any lunar-lander recreation can also be lacking—figuring out whether or not or not the spacecraft’s pace in the intervening time of touchdown leads to a swish landing or a recent crater. However these deficiencies could possibly be addressed digitally.
On the left are the differential equations that mannequin the flight of the lunar lander of their textbook type. On the suitable is how they’re encoded into the weather offered by the THAT, corresponding to integrators and comparators. The numbers inside circles check with the potentiometers used to set the values of parameters.James Provost
For my digital laptop and graphics show, I dug out an Arduino Uno and a small LCD touchscreen shield. The LCD show makes use of almost all of the pins on a daily Arduino Uno, however two analog inputs remained obtainable to learn the voltages representing altitude and gasoline.
This did entail sacrificing some precision. Internally, the THAT represents portions utilizing a variety between -10 and +10 volts. That full vary would curdle the analog-to-digital convertors constructed into most microcontroller boards, so the THAT compresses and shifts that vary for the hybrid port. There, voltages differ between 0 V and three.3 V. The Arduino Uno operates at 5 V, and reads with 10-bit precision, so the altitude and gasoline stage find yourself approximated as numbers between 0 and 675. However that’s tolerable, provided that my LCD has solely 320 vertical pixels at most to show the spacecraft’s location above the floor.
I made up an Arduino protoboard with connectors for the LCD defend and a ribbon cable working to the THAT’s hybrid port. It’s attainable to exert some energetic management of the THAT by way of the hybrid port, for instance, commanding it to reset to its preliminary circumstances and fixing an equation. Nevertheless, with solely two analog inputs obtainable after accommodating the LCD defend, I used to be utilizing the Arduino as a purely passive show.
I wrote a program to show the lunar floor and the participant’s spacecraft in classic vector-like style. Gasoline is displayed as a dwindling horizontal bar. Pace is computed and displayed by sampling the spacecraft’s altitude about 10 instances per second and dividing the change in altitude by the point interval between measurements. When the altitude reaches zero, the pace is checked and the participant is advised in the event that they landed safely, broken their spacecraft, or have been destroyed on affect. This system then waits till the THAT is reset for an additional try.
Considerably to my shock, my hybrid contraption labored easily. Spacecraft rose and fell on the show in accordance with the legal guidelines of physics encoded within the THAT’s nest of wiring, and lived or died relying on my talent with the throttle. As an intro to a type of computing now alien to just about all engineers, the THAT is about as effectively designed an on-ramp as you might want for. Now it’s time to take down Kreyszig and begin exploring my very own physics fashions!
This text seems within the January 2024 print problem as “A Model New Analog Laptop.”