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Re: How to explain how negative feedback lowers noise?


 

Hi Keith,

Don't conflate my being didactic with being angry. Email is a lousy medium because the reader will attach an emotion track based on scant clues. That is a noisy, error-prone process.

That said, I would refer you to my initial response to the OP. Not surprisingly, I prefer my example to yours. I have taught feedback to a large collection of quite diverse audiences, and have settled on a particular set of explanations as a result of many pedagogical experiments.? I craft the particulars to match the background of the intended listener. It is very tricky to provide simple answers that also do not introduce fundamental errors.

The reason I began my response with the quote, "You cannot control what you do not measure," is that many folks have heard it before, although likely in other contexts. Even if they are unfamiliar with it, it makes intuitive sense, and it captures the essence of what negative feedback is about: You need to measure the variable to be controlled. That's necessary (but not sufficient). So in that likely familiar quote is the notion of control based on some sort of measurement of the thing to be controlled, which also then implies the existence of some sort of reference that conveys when that control is successfully achieved.

The example I offered was the thermostat. Everyone has one in the home. Everyone knows what it's supposed to do, even if the particulars of how it does what it does may be mysterious. It's a commonly encountered negative feedback system. All you have to do is point out a few of its features, and how they map to features of the quote. This simple answer to the OP's first question has all of the attributes that you enumerate, and has the added distinction of not introducing fundamental errors in the process. I teach a freshman class that has many non-EE/non-STEM students. They all grasp negative feedback's essence from the thermostat example. I had an occasion to test that explanation again this past term. And it triggers the right set of follow-on questions.

The discussion about noise wasn't a digression unrelated to the first. A proper description of negative feedback, simple or not, should set one up for answering more sophisticated questions. A poor simple explanation will align neurons in a way that actively militates against an intuitive understanding of the OP's second question (or is it the first?). Once you've got the right block diagram implicitly or explicitly implanted in their crania, adding a couple more inputs (noise or signal) to the system poses no cognitive problem. If you haven't given them the right block diagram, answering the noise question becomes nigh impossible.

So, mere simplicity is not a virtue. There's a lot of engineering that should go into crafting an answer that is both simple and correct. That kind of simple answer is scalable to address more sophisticated questions. I would go further and argue that a good simple answer stimulates precisely those types of question. A random simple answer is often a "lie that we tell to children" to get them to stop asking questions. That's bad enough, but even worse is that answering the more sophisticated questions that do get asked requires undoing the simple explanation. Why do this when there are demonstrably better alternatives?

-- Cheers
Tom

--
Prof. Thomas H. Lee
Allen Ctr., Rm. 205
350 Jane Stanford Way
Stanford University
Stanford, CA 94305-4070

On 3/23/2021 06:04, Keith wrote:
re: Negative Feedback example, etc.

Folks tell me that a gentle answer turns away wrath, so I hope this is a gentle reply. I mean it in that spirit.

Tom, with respect to your criticism of my example, I would suggest that you do a quick review of the original post #1. Here is the pertinent part of it, for your convenience:

Hi all,
I'm trying to explain to people at my company (none of whom are EEs or
statisticians) how negative feedback works in a system. That's one
thing that I'm trying to get across, and I can't come up with an
explanation of it in every day terms. All the examples I find in
biology etc seem kind of dubious and not very straightforward -
there's a lot of "trust me on this" as to why it's actually negative
feedback and not some form of other regulation. What's a simple
/physical/ negative feedback?

This is question 1 in the OP...period. The core of it is simple. "...how negative feedback works in a system..." Only in the next sentence (not quoted above) does the OP then use the word "another", and only then does he bring up a second question about feedback and noise. So, the original post is really two questions. Question 1 is the issue of a real world example of negative feedback in a system. Question 2 is the interaction of feedback and noise.

Nothing in my example is intended or stated to address that second question. I had nothing to add to that discussion, and so attempted to provide the OP with his example for question one. Now I admit that the use of the word "noise" in my example does unintentionally blur the line - since I say "noisy happy children". I see how that might cause confusion, so I will attempt to edit my post to remove that word. Thanks for that.

But, to be clear here, my example was only intended to apply to question #1 in the OP. Question #1 was the only part for which I felt I had an example that met his requirements, specifically that it be;

1. "non technical" - (which I admit I assumed would mean for persons who have no electronic background)
2. use "everyday terms" (everyday means things that average people from all walks of life could grasp)
3. provide a "simple / physical / negative feedback" example.

Of course every analogy breaks down at some point, but in learning and teaching, it is quite common to go from the simple to the complex in a series of stepped examples - first simple and familiar, and therefore necessarily incomplete at some level. Then more subtle, complex, and therefore more narrow and demanding in proofs and adherence to reality.

Thanks for reading my reply in a mild spirit. I mean no disrespect, but at the moment I stand by my example (modified to remove the word "noisy" of course) as meeting the requirements of OP's question one only. Of course, if you see it differently, then perhaps we'll just have to agree to disagree on this one? In any case, thanks for your contributions to the forum. You're a valuable resource here.

Warmly,

Keith



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