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A linear system operates on inputs with only linear operators so the response to a complex input can be analysed as the sum of the response to a set of simpler inputs. This mathematical property makes the analysis of linear systems much simpler than non-linear systems where this summation or superposition does not hold. Linear systems are generally further classified as time invariant, meaning that there characteristics do not change over time.

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Can I see from the PSD if a system is a LTI system?

Yes, the PSD of a time signal can give you infos about the linearity of the system under study. For example, assume you are studying a symmetric duffing's oscillator described by the equation: $m \d …
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