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

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Negative frequency refers to the concept of phase reversal in signal analysis, particularly in the context of complex or quadrature data. It can be illustrated mathematically, such as with the equation sin(2π(-f)t) equating to -sin(2π(f)t). In Bode plots, a negative frequency can indicate instability, as seen with examples like s=-3 or w=-3 rad/s. The discussion emphasizes that negative frequencies are relevant when considering both sine and cosine components in signal representation. Overall, negative frequency plays a crucial role in understanding signal behavior in the s and w domains.
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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)
 
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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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