Listed below are several systems that relate the input x(n) to the output y(n). For each, determine whether the system is linear or nonlinear, shift-invariant or shift-varying, stable or unstable, causal or noncausal, and invertible or noninvertible. (a) y(n) = x(n) + x(-n) (b) y(n)= £x(k) (c) y(n)= E x(k)

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1.49 Listed below are several systems that relate the input x(n) to the output y(n). For each, determine whether the
system is linear or nonlinear, shift-invariant or shift-varying, stable or unstable, causal or noncausal, and invertible
or noninvertible.
(a) y(n)= x(n)+x(-n)
(b) y(n)=x(k)
n+no
(c) y(n)= £ x(k)
(d) y(n) = log{x(n)}
(e) y(n) = median{x(n – 1), x(n), x(n + 1)}
Transcribed Image Text:1.49 Listed below are several systems that relate the input x(n) to the output y(n). For each, determine whether the system is linear or nonlinear, shift-invariant or shift-varying, stable or unstable, causal or noncausal, and invertible or noninvertible. (a) y(n)= x(n)+x(-n) (b) y(n)=x(k) n+no (c) y(n)= £ x(k) (d) y(n) = log{x(n)} (e) y(n) = median{x(n – 1), x(n), x(n + 1)}
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