GATE 2022 : Signals and Systems Quiz 3

and

Find y(n) = x (n) ⨂ h(n), where ⨂ denotes circular convolution.

The unit impulse response of the system described by  is:

Consider an LTI system is such that

h₁(n) = δ(n) – 5 δ (n – 1)

h₂(n) = 5ⁿ u(n)

Find the output of signal at n = 3 for applied input is

A causal discrete time LTI system is described by:

Y(n) + 5y(n-1) + 6y(n – 2) = 5x(n) – 2x(n-1)

Find the impulse response h(n) of causal system.

Consider an LTI system is such that

h₁(n) = δ(n) – 5 δ (n – 1)

h₂(n) = 5ⁿ u(n)

Find the output of signal at n = 3 for applied input is

Signal  acts as an input for system having impulse response , output of the system is given by