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

In summary, negative frequency refers to the concept of phase reversal in complex or quadrature data. It can be represented by equations such as sin(2pi(-f)t)=-sin(2pi(f)t) and cos(2pi(-f)t)=-cos(2pi(f)t). It is commonly seen in examples of bode plots and is explained further in resources such as the link provided.
  • #1
klmnopq
27
0
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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  • #2
Where have you seen a negative frequency occur?
Something like http://forum.allaboutcircuits.com/archive/index.php/t-60531.html?
 
  • #3


yes.
 
  • #4


The link explains them.
 
  • #5


Negative frequency is nothing but phase reversal.

eg. sin(2pi(-f)t)=-sin(2pi(f)t)
 
Last edited:
  • #6


okami11408 said:
eg. cos(2pi(-f)t)=-cos(2pi(f)t)
That's not even close to correct.
 
  • #7


Im sorry its sine not cosine.
 
  • #8


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
[tex]V(t)=\Re\{[\cos(\omega t)+j\sin(\omega t)]\exp(j\omega_0 t)\}[/tex]versus
[tex]V(t)=\Re\{\cos(\omega t)-j\sin(\omega t)]\exp(j\omega_0 t)\}[/tex]
 

1. What is negative frequency in analysis of the s domain and w domain?

Negative frequency in analysis of the s domain and w domain refers to frequencies that are represented by negative values on the imaginary axis. In the s domain, negative frequencies are used to represent signals that are decaying or decreasing over time. In the w domain, negative frequencies are used to represent signals that are rotating in the opposite direction from the positive frequencies.

2. How are negative frequencies represented in the s domain and w domain?

In the s domain, negative frequencies are represented by a negative sign before the frequency variable, such as -ω. In the w domain, negative frequencies are represented by a negative value on the imaginary axis, such as -jω.

3. Why do we need to consider negative frequencies in analysis of the s domain and w domain?

Negative frequencies are important to consider because they can provide valuable information about the behavior of a system. In some cases, negative frequencies may be more relevant to the behavior of a system than positive frequencies.

4. How do negative frequencies affect the transfer function in the s domain and w domain?

Negative frequencies can affect the transfer function in the s domain and w domain by introducing poles and zeros at negative frequencies. This can change the overall behavior of the system and may need to be taken into account when analyzing or designing a system.

5. Can negative frequencies be physically measured?

No, negative frequencies cannot be physically measured. They are a mathematical concept used to represent certain signals and behaviors in the s domain and w domain. In reality, signals and frequencies can only have positive values.

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