Can frequency affect conversion time in a system?

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Discussion Overview

The discussion revolves around the relationship between frequency and conversion time in a system that appears to involve both analog-to-digital (A/D) and digital-to-analog (D/A) conversion processes. Participants explore the functionality of a circuit that includes a counter, an op-amp, and an AND gate, while attempting to clarify the roles of these components in the context of signal conversion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that increasing the frequency of the system may lead to a decrease in conversion time, although a specific formulation to relate frequency to conversion time is not provided.
  • There is confusion regarding whether the system is a digital-to-analog converter or an analog-to-digital converter, with some participants asserting it is a D/A converter based on the circuit sketch.
  • Participants discuss the function of the counter, with some asserting it counts clock pulses and provides digital output, while others question its role in the conversion process.
  • There is debate about the nature of the signals at various points in the circuit, with some claiming that the counter only processes digital signals and others arguing that analog signals are present at different stages.
  • Some participants express uncertainty about the role of the op-amp and its connections, particularly regarding the supply voltage and its function as a comparator.
  • There is a suggestion that the circuit acts as both an A/D and D/A converter, with participants attempting to clarify the flow of signals through the components.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact nature of the circuit or the relationship between frequency and conversion time. Multiple competing views remain regarding the roles of the counter and op-amp, as well as the types of signals processed at different points in the circuit.

Contextual Notes

There are unresolved questions about the definitions of terms used in the discussion, the assumptions regarding signal types, and the specific configurations of the components in the circuit. The discussion reflects a range of interpretations and understandings of the circuit's operation.

  • #31
Yep.
 
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  • #32
But how can I find the resolution based on Va?

My idea was that Va max defines our Vref, but if Vref isn't defined to us we can't tell the resolution and thus can't solve for Va if given a digital output
 
  • #33
What is Vref?
I don't see it in your problem statement.
Or did you mean Vx?
 
  • #34
Doesn't every D/A has a Vref? How can it function without a analogue input?
 
  • #35
Femme_physics said:
Doesn't every D/A has a Vref? How can it function without a analogue input?

I'm getting confused here.

In your problem statement there is no Vref.

And yes, a DAC would typically have a Vref connected.
Should I assume you mean the voltage that the maximum digital input maps to?

Either way, such a Vref is not really an input, since it is fixed and usually not shown.
 
  • #36
I like Serena said:
I'm getting confused here.

In your problem statement there is no Vref.

And yes, a DAC would typically have a Vref connected.
Should I assume you mean the voltage that the maximum digital input maps to?

Either way, such a Vref is not really an input, since it is fixed and usually not shown.

So to find the resolution of the converter I just use Va Max?
 
  • #37
Femme_physics said:
So to find the resolution of the converter I just use Va Max?

I'm still confused.

Which resolution?
What would Va Max be?
 
  • #38
Suppose Va max is 5. The binary output of the converter in question (the one at the original message) is 01001101. I am asked to find Va in that case. You're asking me "what resolution", but You can't solve it without one because you have the formula Va = Resolution x Output in base 10


Hmm... Do you follow me?
 
  • #39
I'm asked to calculate Va, if the counter output is (01101110)2
In the absence of a specified Vx max (or Va max) you could express your answer in terms of "Vx max", the maximum analog output available from the DAC.

So, if 11111111 → Vx max,
then 01101110 → k⋅Vx max
Find k.

You should be able to express resolution in terms of Vx max

I'm not sure how punctilious one should be in answering this question. But for the comparator to stop the action, Vx necessarily must always be able to exceed Va, so this implies Va max < Vx max
 
  • #40
Femme_physics said:
Suppose Va max is 5. The binary output of the converter in question (the one at the original message) is 01001101. I am asked to find Va in that case. You're asking me "what resolution", but You can't solve it without one because you have the formula Va = Resolution x Output in base 10Hmm... Do you follow me?

Do you have a problem statement?

To find the Va that corresponds to (01001101)2 you would need the maximum Vx output your DAC can give.
 
  • #41
Hi ILS, NasO, I'll clarify the question...


"The following is a main scheme of an A/D converter with 12 bits. Max Va is 5 [V].

In the A/D converter's output, the binary digit 010111110110 was measured. Calculate, what's Vin that was converted to this binary. "

Answer:

IMO I just do this


http://img834.imageshack.us/img834/1905/vinconversion.jpg

Whereas in the formula for resolution

Res = Vmax - Vmin / 2n = 5 / 212 = 0.0012207

Therefor I consider Va max = the Vmax of the converter and use this resolution to reach the answer.
 
Last edited by a moderator:
  • #42
Looks right to me!
 
  • #43
Thanks NasO2 :)
 

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