Consider a system described by the equation
y[n] = cos(0.1πn) x[n].
(a) Is this system linear?
(b) Is this system time invariant?
(c) Determine the impulse response h[n].
(d) Determine the response to the input δ[n – 1].
(e) Can a linear time-varying system be described by its impulse response h[n]? Why?
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