Average Value for pulse waveform

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Discussion Overview

The discussion revolves around calculating the average value of a pulse waveform, specifically addressing the challenges posed by varying amplitude and duty cycle. Participants explore different approaches to defining and computing the average in the context of a staircase-type waveform.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents a formula for average voltage, Vavg = baseline + (duty cycle)(amplitude), and questions how to handle varying amplitude and duty cycle in the context of a staircase waveform.
  • Another participant prompts a discussion on the definition of average, suggesting it is a ratio of sums and encourages the use of external resources for clarification.
  • A participant shares their calculation using the formula but expresses confusion about the result, indicating it does not seem to make sense for the average.
  • One participant provides a hint by asking for the average of a simple sequence of numbers, prompting further exploration of how this relates to the pulse waveform.
  • Another participant reiterates the average of the sequence and questions how this average applies to the overall pulse waveform and its duty cycle over repeated intervals.

Areas of Agreement / Disagreement

Participants do not reach a consensus on how to compute the average value for the pulse waveform, and multiple competing views and uncertainties remain regarding the treatment of amplitude and duty cycle.

Contextual Notes

Participants express uncertainty about the application of the average formula to the varying characteristics of the waveform, and there are unresolved questions about how to handle different segments of the waveform individually.

Jason03
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Heres the graph...

http://img205.imageshack.us/img205/4770/graphfc6.jpg"

Im trying to find the Average value for a pulse waveform...

the formula is

Vavg = baseline + (duty cycle) (amplitude)


How do I treat the amplitude since it varies...Do I treat the cuty cycle differently as well...?.the staircase type waveform continues to increase...should I do each one individually?
 
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How is the average of *anything* defined? It's a ratio of sums, right? What are the sums?

You can use wikipedia.org to give you some tutorial help on general average forumulas, and apply that to your problem.

http://en.wikipedia.org/wiki/Average

If you still are confused, please show us some attempts at your solution, so that we can offer tutorial help.
 
This is what I did using the formula,

baseline + (duty cycle)(amplitude)

= 0 + (1ms/7ms)(6) = .856 mV...but that doesn't make sense for the avg...
 
Hint, what is the average of 0, 1, 2, 3, 4, 5, 6?
 
the average would be 3...but that would give me an even smaller overall average for the pulse waveform...or would I have to do the same for the dutycycle...?
 
Jason03 said:
the average would be 3...but that would give me an even smaller overall average for the pulse waveform...or would I have to do the same for the dutycycle...?

Well, if 3V is the average for the first 7ms, what is the average for the next 7ms, and the next 7ms, ...

Then what can you say about the average voltage for the overall repeated waveform... ?
 

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