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Thoughts on the Digital Revolution - Tom - 10-01-2020 In the 1970s digital electronics began taking over from analog electronics. The most conspicuous form was the personal computer, but it went far beyond that. At the time, I was working for a medical electronics company. One of our products was a Cardiac Output Computer. It calculated cardiac output from a dye dilution curve using analog multiplier divider circuitry. The logic was mostly implemented in a large multi-wafer rotary switch with dozens of interwired contacts. The result would appear on a large, old-school meter face which took up most of the front of the instrument. A bolus of dye was injected near the heart of a catheterized patient and sampled at a downstream artery with a pump and a detector called a densitometer. The dye would appear as a peak with an exponential decay. Some of the dye would take a shorter route back to the heart and would appear a second time, called recirculation. Recirculation would cause the decreasing dye curve to reverse direction. Cardiac output was calculated from the area under the curve, absent recirculation. The challenge was that integration of that area under the curve got more and more complete a time went on, but from the moment recirculation hit, the area under the curve no longer represented the cardiac output. In order to estimate what the area would have been without recirculation, the integral representing the past area was summed with a differential term repesenting the predicted area under the curve if the exponential decay continued. The answer improves with time because the total area calculation consists more of the integral history and less of the differential prediction. Then, when recirculation starts, the curve bends upward, and the differential term gets huge. At that point the prediction becomes meaningless. The doctor injected the dye and watched the meter settle to the answer, then the needle hit the peg upon recirculation. The doctor's confidence in the answer went up to the extent that the needle was steadier for longer. Simple enough, and quite intuitive. One day the head of sales came into the engineering department with a nixie tube in his hand and said digital is the new big thing. Sure, we responded, we could replace the big meter with a three-digit digital display. We did that, but it wasn't quite the whole story. A a changing digit tended to look like an 8, regardless, because all the segments lit up fast and dimmed down slowly. Ok, that meant we needed to latch the answer, which didn't seem like it should be too hard. We were wrong. If you latched too soon, you would get a substandard reading and if you latched too late you would have no reading. Plus, the doctor no longer knew how much confidence to place in the answer. The conclusion was that we needed to calculate a set of possible answers and evaluate them statistically to obtain a confidence level. Enter a microprocessor. In those early days we needed to design our own development system. We needed to create our own tools, down to needing to write our own floating point math routines in assembly language (there was no higher level language for microcomputers yet) for the statistics. Complexity went through the roof. Do you iterate and rank different possible answers then pick the best? Do you report both an answer and a confidence level? How long will the doctor wait for your primitive computer to grind before he/she complains to the salesman that it is too slow and he liked the analog computer better? In the end, the switch to digital computation surely improved the results, but there was a long, uncomfortale period between pure analog and mostly digital when a successfull transition was no sure thing. It is easy to forget that, in retrospect. Tom Lawson October 2020 |