Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, P3, P4. Properties P1 : Linear but NOT time-invariant P2 : Time-invariant but NOT linear P3 : Linear and time-invariant Relations R1 : y(t) = t2x(t) R2 : y(t) = t |x(t)| R3 : y(t) = |x(t)| R4 : y(t) = x(t - 5)

This question belongs to Electronics And Communications Engineering Signal Processing

Signal Processing

Letx(t) be the input and y(t) be the output of a continuous time system. Match the system properties P₁, P₂ and P₃ with system relations R₁, R₂, P₃, P₄.
Properties
P₁ : Linear but NOT time-invariant
P₂ : Time-invariant but NOT linear
P₃ : Linear and time-invariant
Relations
R₁ : y(t) = t²x(t)
R₂ : y(t) = t |x(t)|
R₃ : y(t) = |x(t)|
R₄ : y(t) = x(t - 5)

A) (P₁, R₁), (P₂, R₃), (P₃, R₄) B) (P₁, R₂), (P₂, P₃), (P₃, R₄) C) (P₁, R₃), (P₂, R₁), (P₃, R₂) D) (P₁, R₁), (P₂, R₂), (P₃, R₃)

Answer & Solution

Correct Answer: Option B

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