- #1
kenok1216
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whu at w=100 the effect of c0 and c2 will not count
also w=200 the effect of c1 and c0 will not count?
Question about an example problem with transfer function response
- Thread starter kenok1216
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In summary, the conversation discusses the effect of certain coefficients on a linear system with specific inputs. The coefficients and their impact on the system's response are highlighted, with an emphasis on the sum of individual frequency components in the input. The conversation also clarifies that the input can only lead to a response with the same frequency and its own unique phase.
whu at w=100 the effect of c0 and c2 will not count
also w=200 the effect of c1 and c0 will not count?
- #2
Baluncore
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Is this homework ?
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BvU
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Well, it's a worked out example and OP wonders about the coefficients. The reason is that this is all about linear systems, and one property of a linear system is that you can write the total response as the sum of responses to the individual frequency components in the input.kenok1216 said:
And an input of a particular ##\omega## can only lead to a response with that same ##\omega## plus its very own ##\theta##.
- #4
kenok1216
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BvU said:
got it thankBvU said:
FAQ: Question about an example problem with transfer function response
What is a transfer function?
A transfer function is a mathematical representation of the relationship between the input and output of a system. It describes how the output of a system changes in response to a change in the input.
Can you give an example of a transfer function?
One example of a transfer function is the low pass filter, which attenuates high frequency signals while passing low frequency signals. The transfer function for this system is H(s) = 1 / (1 + sRC), where R is the resistance and C is the capacitance of the circuit.
How do you calculate the response of a system using a transfer function?
The response of a system can be calculated by multiplying the transfer function by the input signal in the Laplace domain. This will give the output of the system in the Laplace domain, which can then be converted back to the time domain using inverse Laplace transform.
What is the significance of the poles and zeros in a transfer function?
Poles and zeros are important characteristics of a transfer function as they determine the stability and frequency response of a system. Poles are the values of s where the transfer function becomes infinite, while zeros are the values of s where the transfer function becomes zero. The location of poles and zeros on the complex plane can affect the behavior and performance of a system.
Can a transfer function be used for nonlinear systems?
No, a transfer function can only be used for linear systems, where the superposition principle applies. For nonlinear systems, other methods such as state space representation or input-output models must be used to describe the system's response.