Show that a system with excitation x[n] and response y[n] described by Y[n] = nx[n],
is linear, time variant and static.
BIBO Stability:
If the excitation is a constant, the response is unbounded as n approaches infinity.
BIBO Unstable
Causality:
At any time n=
the response depends only on the excitation at that same time. Causal.
At any time n= the response depends only on the excitation at that same time. System has no memory.
Invertibility:
Inverting the functional relationship x[n] = y[n] / n.
x has a defined value at every value of n except n = 0.
Not invertible.
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