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Consider a discrete-time system that is characterized by the following difference equation:
Y(n) = x(n)cos?0n,
where ?0 is constant value, x(n)are the discrete-time input data of the system, y(n)are the discrete-time output data of the system.
Is the discrete-time system governed by the given difference equation:
(a) static or dynamic?
(b) time-invariant or time-variant?
(c) linear or nonlinear?
(d) causal or noncausal?
(e) stable or unstable?
Explain your answers for all questions and prove your conclusions analytically for questions b,c and d.
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-1+5-100=?
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Let a 0 , a 1 ::: be the series recursively defined by a 0 = 1, and an = 3 + a n-1 for n ≥ 1. (a) Compute a 1 , a 2 , a 3 and a 4 . (b) Compute a formula for an, n ≥ 0.
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2
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