Consider three continuous-time systems S₁, S₂, and S3 whose responses to a complex exponential input ej51 are specified as S₁: ej5t S₂ : ejst S3 : ej51 • tejst, ej5(t-1), cos(5t). → e For each system, determine whether the given information is sufficient to conclude that the system is definitely not LTI.

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This is a practice question from my Signals and Systems course in my Electrical and Computer Engineering program.

Could you please walk me through the process of how to solve this problem.

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Consider three continuous-time systems S₁, S₂, and S3 whose responses to a complex
exponential input ej51 are specified as
S₁: ej5t
S₂ : ejst
S3 : ej51
• tejst,
ej5(t-1),
cos(5t).
→ e
For each system, determine whether the given information is sufficient to conclude
that the system is definitely not LTI.
Transcribed Image Text:Consider three continuous-time systems S₁, S₂, and S3 whose responses to a complex exponential input ej51 are specified as S₁: ej5t S₂ : ejst S3 : ej51 • tejst, ej5(t-1), cos(5t). → e For each system, determine whether the given information is sufficient to conclude that the system is definitely not LTI.
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