Hi

The “limited range” part of it is why the op-amp makes so much sense. If the 
ADC can “see” +/-10C that’s 
way more than will ever be useful. You could make a pretty good case for -5/ +1 
C as being way more than
you will ever use. The only real issue with the +1 is ok argument is when you 
offset the oven off turn to balance 
out the temperature coefficient of the oscillator circuit. Yes, one *could* use 
a bridge circuit to reduce the 
need for that offset. I believe it has been suggested and tried :)

Bob
> On Jun 10, 2017, at 2:33 PM, Magnus Danielson <[email protected]> 
> wrote:
> 
> Hi,
> 
> I was about to make this very point myself. The resolution of the ADC needs 
> to be higher than the limit you try to achieve. There is several ways to 
> reason about it, but one is that the system is a bit slugish you want to have 
> higher resolution in order to react of changes before they overshot the 
> limits you want to keep. Another benefit is that you get away from the 
> bang-bang behavior you get when having too few bits.
> 
> For an oven you can however cheat some by not requiring linearity in the "too 
> cold" region of temperature. You do want some linearity as you start to come 
> into the right range in order to slow down the heating in order not to do a 
> big overshot.
> 
> I have seen a little too much cases where there been too few bits both on ADC 
> and DAC sides. Some of it you can overcome, but it runs into trouble. Get 
> good dynamics, it makes the rest of the design easier.
> 
> Cheers,
> Magnus
> 
> On 06/07/2017 08:32 PM, Bob kb8tq wrote:
>> Hi
>> 
>> There is a gotcha with the initial assumption: You want the loop to be
>> *quiet* at a level well below 0.1C. If it is bouncing around that much,
>> the second order (rate defendant) tempco of a normal crystal will
>> become a pretty major issue.
>> 
>> Simple rule of thumb - add at least two bits past whatever the target is.
>> More or less, if you *are* after 0.1C and that comes out to 6 bits, you need
>> eight solid bits to get things to work properly.
>> 
>> Bob
>> 
>>> On Jun 7, 2017, at 2:10 PM, Chris Albertson <[email protected]> 
>>> wrote:
>>> 
>>> One question for the control theory experts.
>>> 
>>> Assume me goal is to regulate temperer of an aluminum block to within 0.1C,
>>> how good must my ADC be?   Is an effective 6-bits good enough?
>>> 
>>> It seems to me the problem with fewer bits is only quantization noise.
>>> Lets assume 6-bits.  This is 1 part in 64.   If I scale the input to the
>>> ADC such that it os 1.0C from 0 to 63 counts then each cunt is 1/64 C
>>> which is about 6 times better then my allowed error of 0.6 C.
>>> 
>>> My gut-feel is that this is marginal but could work ("work" is defined as
>>> holds temperature within the range) but I'd be happier using 8 bits.  Im
>>> pretty sure I can get 8-bits by over sampling and filtering.
>>> 
>>> I don't know how to analyze this but I'm guessing with n-bits each each
>>> sample has a 1/2 bit error so my I and D terms in the PID controller will
>>> accumulate lots of 1/2 bit errors.   I thing I want them "a couple orders
>>> of magnitude" smaller then the  allied temperature range.
>>> 
>>> Of cose one could buy the best ADC on the market.   But this is POOR MAN's
>>> project.   So he asks, "What is the lowers performance/cost part that will
>>> allow the system to meet its specification?
>>> 
>>> BTW, a related story.    I'm on another couple lists that deal with vacuum
>>> tube audio.  We see the same things there people correctlypointing out how
>>> to make something better but the question is always how much better and at
>>> what cost an does it matter.   So a fun project was proposed.  Set a budget
>>> of $200 to build a tube based stereo Hi Fi amplifier.  Who can do the
>>> best.  Youhade to publish the BOM with prices and suppliers.   Extra points
>>> if you came in under budget.     This eliminated all the suggestions to buy
>>> high end hand made transformers from Sweden.
>>> 
>>> IT turrets out that you see MUCH more interesting designs when you lower
>>> the budget.  Anyone can make a high performance system even enough money.
>>> They waste half the cost on useless stuff and the product costs double what
>>> it should and is over complex but is works real, really well.   That's
>>> easy.  Harder and more interesting is "Can you make something just as good
>>> at 1/2 the price?"   Answer is usually Yes.  Then you say "what much do you
>>> loose if I set the price to 1/4?   The answer is surprisingly little if you
>>> get smart about sourcing parts.      Turns out about $180 is the minimum
>>> for pretty decent quality HiFi vacuum tube.
>>> 
>>> An interesting graph would be Oven Specification vs. Price.  What is the
>>> minimum cost for keeping temperature to within 1.0 C, for 0.1C, 0.01 C?
>>> Can you do 1.0C for under $5?   or 0.1C for under $10.    I bet yes.
>>> 
>>> I did an exercise a while back to see what is the minimum price and
>>> complexity to build a GPSDO that was good enough only to drive the lab
>>> bench instruments I have.   I implements only 1/2 od Lars W's design and
>>> cut his lines of code by about 90%.  Turns outhe cost is the XO and about
>>> $10.   Compared to my Thunderbolt, performance was not nearly as good but
>>> the ratio of performance over parts cost might be better.
>>> 
>>> 
>>> 
>>> On Tue, Jun 6, 2017 at 2:39 PM, Mark Sims <[email protected]> wrote:
>>> 
>>>> Another thing to watch out for on processor ADCs is their performance near
>>>> the supply rails...  the AVR ADCs are particularly entertaining below
>>>> around 300 mV (with a 5V Vref).
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>>> 
>>> 
>>> 
>>> --
>>> 
>>> Chris Albertson
>>> Redondo Beach, California
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