if a system produces frequency in the output that are not present in the input ,then the system cannot
Answers
Answer:
An LTI system is diagonalized by pure frequencies. Sines/cosines are eigenvectors of the linear system. In other words, any single non-zero sine or cosine (or a complex cisoid) input has a sine or cosine output of the same frequency exactly (but the output amplitude may vanish).
The only thing that may change is their amplitude or their phase. Hence, if you have no sine with a given frequency in the input, you get nothing (zero) with that frequency at the output.
The second question is answered by contraposition or regula falsi: if A⟹B is true, so is B¯¯¯¯⟹A¯¯¯¯. If a system is LTI, it does not generate new frequencies. If a system generates new frequencies, it is not LTI.
Explanation:
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Answer:
A LTI system diagonalized by pure frequency Sine/ cosines are eigenevactors of the linear system.in other words any sing non zero