Q105
Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete-time system has the input-output relationship, y ( n ) = \ x ( n ), & n 1 0, & n = 0 x ( n + 1 ), & n - 1 . where x(n) is the input and y(n) is the output. The above system has the properties
Let P be linearity, Q be time-invariance, R be causality and S be stability. A discrete-time system has the input-output relationship,
y\left( n \right) = \left\{ \matrix{ \matrix{ {x\left( n \right),} & {n \ge 1} \\ } \hfill \\ \matrix{ {0,} & {n = 0} \\ } \hfill \\ \matrix{ {x\left( {n + 1} \right),} & {n \le - 1} \\ } \hfill \\} \right.
where x(n) is the input and y(n) is the output.
The above system has the properties
y\left( n \right) = \left\{ \matrix{ \matrix{ {x\left( n \right),} & {n \ge 1} \\ } \hfill \\ \matrix{ {0,} & {n = 0} \\ } \hfill \\ \matrix{ {x\left( {n + 1} \right),} & {n \le - 1} \\ } \hfill \\} \right.
where x(n) is the input and y(n) is the output.
The above system has the properties
A.
P, S but not Q, R
AnswerB.
P, Q, S but not R
C.
P, Q, R, S
D.
O, R, S but not P
Answer: Option A
Solution
Answer: Option A
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