Question about an example problem with transfer function response

AI Thread Summary
At specific frequencies, certain coefficients in a transfer function do not affect the system's response due to the properties of linear systems. For instance, at w=100, the coefficients c0 and c2 do not contribute, while at w=200, c1 and c0 are similarly ineffective. This behavior is rooted in the principle that the total response can be expressed as a sum of individual frequency responses. Each input frequency only influences the output at that frequency plus its phase shift. Understanding these dynamics is crucial for analyzing linear system responses.
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?
 
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Is this homework ?
 
kenok1216 said:
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?
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.
And an input of a particular ##\omega## can only lead to a response with that same ##\omega## plus its very own ##\theta##.
 
BvU said:
nders about the coefficie
BvU said:
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.
And an input of a particular ##\omega## can only lead to a response with that same ##\omega## plus its very own ##\theta##.
got it thank
 

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