Question about an example problem with transfer function response

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Discussion Overview

The discussion revolves around a specific example problem related to transfer function responses in linear systems, focusing on the effects of various coefficients at different frequencies.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions why the effects of coefficients c0 and c2 do not count at w=100, and similarly why the effects of c1 and c0 do not count at w=200.
  • Another participant suggests that the inquiry is related to a worked-out example, emphasizing that in linear systems, the total response can be expressed as the sum of responses to individual frequency components.
  • It is noted that an input at a specific frequency (##\omega##) results in a response at that same frequency plus a unique phase shift (##\theta##).

Areas of Agreement / Disagreement

Participants appear to agree on the nature of the inquiry being related to linear systems, but there is no consensus on the specific implications of the coefficients at the stated frequencies.

Contextual Notes

The discussion does not clarify the assumptions regarding the coefficients or the specific linear system being analyzed, leaving some aspects unresolved.

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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