What's negative frequency in analysis of s domain and w domain

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Discussion Overview

The discussion revolves around the concept of negative frequency in the context of s-domain and w-domain analysis, exploring its implications in signal processing and Bode plots. Participants examine the nature of negative frequency, its representation, and its significance in various mathematical expressions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether negative frequency can be represented in a Bode plot, specifically asking if s=-3 or w=-3 rad/s indicates instability.
  • Another participant asks for examples of negative frequency occurrences, referencing an external link.
  • Some participants suggest that negative frequency is related to phase reversal, providing mathematical examples involving sine functions.
  • There is a correction regarding the use of sine versus cosine in the context of negative frequency, indicating a misunderstanding in earlier posts.
  • One participant elaborates on the concept of negative frequencies in relation to complex or quadrature data, discussing the representation of sine and cosine components in mathematical expressions.

Areas of Agreement / Disagreement

Participants express differing views on the definition and implications of negative frequency, with some agreeing on its association with phase reversal while others challenge the correctness of specific examples and interpretations. The discussion remains unresolved regarding the broader implications and applications of negative frequency.

Contextual Notes

Some mathematical expressions and assumptions regarding the nature of negative frequency are not fully explored or clarified, leading to potential misunderstandings among participants.

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what's negative frequency?

can we say s=-3 in example bode plot !
or we can say it's unstable at w=-3 rad/s

that's I mean is there negative frequency??
 
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Where have you seen a negative frequency occur?
Something like http://forum.allaboutcircuits.com/archive/index.php/t-60531.html?
 


yes.
 


The link explains them.
 


Negative frequency is nothing but phase reversal.

eg. sin(2pi(-f)t)=-sin(2pi(f)t)
 
Last edited:


okami11408 said:
eg. cos(2pi(-f)t)=-cos(2pi(f)t)
That's not even close to correct.
 


Im sorry its sine not cosine.
 


okami11408 said:
Negative frequency is nothing but phase reversal.

eg. sin(2pi(-f)t)=-sin(2pi(f)t)
The concept of negative frequencies makes sense for complex or quadrature data, that is, when you consider both sine and cosine components impressed on a carrier according to
V(t)=\Re\{[\cos(\omega t)+j\sin(\omega t)]\exp(j\omega_0 t)\}versus
V(t)=\Re\{\cos(\omega t)-j\sin(\omega t)]\exp(j\omega_0 t)\}
 

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