How Do Sinusoids Combine to Create Complex Waveforms?

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Discussion Overview

The discussion centers around the analysis of a complex waveform presented in a circuits class, specifically exploring how sinusoids combine to create this waveform. Participants are attempting to identify the components of the waveform, which includes characteristics such as a DC offset and fluctuating amplitudes.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant describes the waveform as having a DC offset of -2 and fluctuating amplitudes that are symmetric around both the amplitudes and the DC offset.
  • Another participant suggests that the waveform may be the product of two sine waves, with one wave forming an envelope for the other, indicating specific parameters such as a period of 10 seconds and an amplitude of 10 V for the envelope.
  • A different participant introduces the concept of superimposing two sine waves of the same amplitude but with a slight frequency difference, referencing the phenomenon of beats.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the exact nature of the waveform or the specific components that create it. Multiple competing views and hypotheses remain in the discussion.

Contextual Notes

The discussion lacks detailed mathematical analysis and specific definitions of the terms used, which may affect the clarity of the proposed models.

Who May Find This Useful

Students and enthusiasts in circuits, waveform analysis, and signal processing may find this discussion relevant.

clphipps
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I am taking a circuits class. The professor has given us a waveform. I was trying to figure out what it takes to create the waveform. The professor give us a hint that it was a combination of sinusoids. I am at a loss.

The wave appears to have a DC offset of -2. The wave appears to have fluctuating amplitudes. The amplitude starts off small and increases until in reaches an amplitude of 10 Once the amplitude reaches 10 it decreases back to the original amplitude. Once the amplitude decreases until it reaches the smallest amplitude it increases again. So the wave is symmetric it 2 ways. It is symmetric around the amplitudes as well as symmetric around the DC offset.

I am at a loss. I would like to figure out what creates the waveform, and then I must use the waveform in a PSpice simulation.

Is there a way to upload an image?

Any help would greatly be appreciated.

Thank you
 
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Welcome to PF,

Use the attachment button (it has a paperclip icon) that is present above the reply box. It will take a while for the attachment to be approved. Alternatively, you could use any number of websites that allow users to upload images.
 
Ok let's try this.

This is a picture of the sine wave that needs to be identified. Any help would greatly be appreciated. Thank you.
 

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This looks to me like the product of two sine waves. One of these waves forms an envelope that the other one oscillates in.

The wave form that is the envelope has a period of 10 sec. and an amplitude of 10 V, and is shifted down by 2 V. I would guess that the other wave form has an amplitude of 1 V. If you count the number of oscillations you should be able to get the period.
 
What happens when you superimpose two sine waves of the same amplitude, but a small difference in frequency, between them? (hint: beat)
 
Last edited:

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