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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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Combined impulse responses

I'm looking for a simple way to show that you can form a single impulse response that is the equivalent $M$ other impulse responses, ie: $$ h\left(t\right)=h_0\left(t\right)\star h_1\left(t\right)... …
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