Let x(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, R3, R4 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

Let x(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, R₃, R₄
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, R₃), (P₃, R₄) C) (P₁, R₃), (P₂, R₁), (P₃, R₂) D) (P₁, R₁), (P₂, R₂), (P₃, R₃)

Answer & Solution

Correct Answer: Option A

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