Digital Signal Processing Multiple Choice Questions and Answers

1 If the system is initially relaxed at time n=0 and memory equals to zero, then the response of such state is called as ____________

A Zero-state response

B Zero-input response

C Zero-condition response

D None of the mentioned

View Answer

Answer:Zero-state response

2 Zero-state response is also known as ____________

A Free response

B Forced response

C Natural response

D None of the mentioned

View Answer

Answer:Forced response

3 Zero-input response is also known as Natural or Free response.

A True

B False

View Answer

Answer:True

4 The solution obtained by assuming the input x(n) of the system is zero is ____________

A General solution

B Particular solution

C Complete solution

D Homogenous solution

View Answer

Answer:Homogenous solution

5 What is the homogenous solution of the system described by the first order difference equation y(n)+ay(n-1)=x(n)?

A c(a)n(where ‘c’ is a constant)

B c(a)-n

C c(-a)n

D c(-a)-n

View Answer

Answer:c(-a)n

6 What is the zero-input response of the system described by the homogenous second order equation y(n)-3y(n-1)-4y(n-2)=0 if the initial conditions are y(-1)=5 and y(-2)=0?

A (-1)^n-1 + (4)^n-2

B (-1)ⁿ⁺¹ + (4)ⁿ⁺²

C (-1)ⁿ⁺¹ + (4)^n-2

D None of the mentioned

View Answer

Answer:(-1)ⁿ⁺¹ + (4)ⁿ⁺²

7 What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |a|<1, when the input of the system x(n)=u(n)?

Digital Signal Processing

A (a)

B (b)

C (c)

D (d)

View Answer

Answer:(a)

8 The total solution of the difference equation is given as _______________

A y_p(n)-y_h(n)

B y_p(n)+y_h(n)

C y_h(n)-y_p(n)

D None of the mentioned

View Answer

Answer:y_p(n)+y_h(n)

9 The formula y(n)=∑∞k=−∞x(k)h(n−k) that gives the response y(n) of the LTI system as the function of the input signal x(n) and the unit sample response h(n) is known as ______________

A Convolution sum

B Convolution product

C Convolution Difference

D None of the mentioned

View Answer