Understanding Digital-to-Analogue Conversion in Signal Processing

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Homework Statement



The digitial signal is transmitted and then converted to an analogue form by the DAC. Using data from Fig. 12.2, draw on the axes of Fig.12.3, the output level of the transmitted analogue signal for time zero to time 1.2 ms.

Homework Equations



Four bit digital numbers being ised

The Attempt at a Solution



The solution of the graph is attached. I don't understand how they knew the graph will be constant between 0-0.2 and then 0.2-0.4. How did they calculate this? Secondly this graph looks like a digital graph more than an analogue graph?
I don't understand the conversion at all.

Thank you for your help.
 
Attachments
  • Exam diagram showing a digital speech transmission chain (ADC, parallel-to-serial converter, serial-to-parallel converter, DAC) and a graph of microphone output in mV against time in ms from 0 to 1.2 ms, with handwritten annotations 0111 and 0.4.
    IMG_6908.JPG
    43 KB · Views: 501
  • Blank graph grid for Fig. 12.3, with y-axis labelled output level from 0 to 16 and x-axis labelled time/ms from 0 to 1.2, to be plotted as a stepped DAC output.
    IMG_6909.JPG
    48 KB · Views: 516
  • Step graph of output level against time/ms from 0 to 1.2 ms, with output level 0 to 16 on the vertical axis; the red trace holds 0 to 0.2, 8 from 0.2 to 0.4, 7 to 0.6, 15 to 0.8, 6 to 1.0, 5 to 1.2.
    IMG_6906.JPG
    95.6 KB · Views: 497
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Taniaz said:
The solution of the graph is attached. I don't understand how they knew the graph will be constant between 0-0.2 and then 0.2-0.4. How did they calculate this?
What is the sampling frequency?

Taniaz said:
Secondly this graph looks like a digital graph more than an analogue graph?
I don't understand the conversion at all.
The output of the microphone is passed through an ADC.
 
It's 5kHz which I understand now so it's measuring it after every 2 ms which is why the intervals as such.

Yes and then it puts it back into a DAC.
 
Taniaz said:
Yes and then it puts it back into a DAC.
And that DAC cannot recover any information that was lost in the A to D conversion.
 
Ah I don't know why I over complicated questions for myself.

Thank you so much!