Simple sinusoidal wave can't convey information?

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Discussion Overview

The discussion revolves around the concept of whether a simple sinusoidal wave can convey information. Participants explore the implications of using a simple periodic wave in communication, examining its characteristics and limitations in the context of information theory.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant references a source stating that a simple sinusoidal periodic wave cannot convey information, prompting questions about the meaning of this assertion.
  • Another participant queries how information could be conveyed using a simple sinusoidal wave, suggesting a need for further exploration of the concept.
  • A participant explains that a simple sinusoidal wave continues indefinitely with the same amplitude and frequency, which may differ from common interpretations of "simple."
  • It is proposed that to convey information, at least two distinct "words" or states are necessary, implying that a single sine wave does not provide sufficient variability to carry information.
  • One participant expresses gratitude for the clarification provided by another, indicating that the explanation helped in understanding the concept.

Areas of Agreement / Disagreement

Participants appear to agree on the notion that a simple sinusoidal wave lacks the capacity to convey information on its own, but the discussion remains open regarding the implications and interpretations of this idea.

Contextual Notes

The discussion does not resolve the broader implications of information theory as it relates to waveforms, nor does it address potential exceptions or alternative viewpoints regarding the transmission of information using different waveforms.

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Hello,

Here http://www.mathpages.com/home/kmath210/kmath210.htm it is written that "...in order to actually convey information, a signal cannot be a simple periodic wave...". I've met this statement in several other places too, this one is just for reference.

What does that mean that a simple sinusoidal periodic wave can't convey information?
 
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How would you convey information with such a wave?
 
A "simple sinusoidal periodic wave" in this sense continues for all time (both in the past and in the future) with the same amplitude and frequency.

That might be different from a "common sense" idea of what the word "simple" means.
 
To convey information, you need at least two "words". One word gives no information - If your answer to every question was "yes", your answers would have no value at all, they would carry no information. A simple sine wave is like one word, it carries no information. If you had two possibilites, a sine wave or no sine wave, then you could transmit information, like "yes" or "no".
 
thanks for the answers.
thank you Rap, that explains it clearly
 

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