# Discrete-Time Systems in the Time-Domain – 2 MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Discrete-Time Systems in the Time-Domain – 2″.

1. The response of any discrete time system can be decomposed as _____________

a) Total Response=Impulse+step

b) Total Response=Impulse+Ramp

c) Total Response=zero-output response

d) Total Response=zero-state response+zero-input response

2. Zero-state response of the system is _____________

a) Response of the system when initial state of the system is zero

b) Response of the system due to input alone

c) Response of the system due to input alone when initial state of the system is zero

d) Response of the system due to input alone when initial state is neglected

3. The difference equation for an N^{th} order discrete-time system is ___________

a)

b)

c)

d)

4. Zero-input response is also known as ____________

a) zero-state response

b) Natural response

c) state-input response

d) Forced response

5. Determine the natural response of the system: Difference equation is

y(n)-y(n-1)-2y(n-2)=x(n) and y(-1) = 1; y(-2) = 0

a)

b)

c)

d)

6. Forced response consists of _________

a) Homogenous solution and general solution

b) General solution alone

c) Homogenous solution and particular solution

d) Particular solution alone

7. The general solution of natural response is of the form of _________

a) y_{h} (n)= c_{1} λ_{1}^{n}+c^{2}λ^{2n}+⋯+c_{N}λ_{N}^{n}

b) y_{h} (n)= c_{1} λ_{1}^{n}+c^{2}λ^{2n}+⋯+c_{N}λ_{N}^{n}

c) y_{h} (n)= c_{1} λ_{1}^{2}+c_{2}λ_{2}^{2}+⋯+c_{N}λ_{N}^{2}

d) y_{h}(n)= c_{1} λ_{1}^{n}-c^{2}λ^{2n}+⋯+c_{N}λ_{N}^{n}

8. Forced Response is solution of difference equation when ____________

a) Input is zero

b) Input is given and initial conditions are zero

c) Natural Response

d) Input is given and initial conditions are non-zero

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