Discrete Time System Analysis MCQ’s

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This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Discrete Time Systems Analysis”.

1. Determine the impulse response for the cascade of two LTI systems having impulse responses h1(n)=(12)2 u(n) and h2(n)=(14)2 u(n).
a) (12)n[2−(12)n], n<0
b) (12)n[2−(12)n], n>0
c) (12)n[2+(12)n], n<0
d) (12)n[2+(12)n], n>0

2. x(n)*δ(n-n0)=?
a) x(n+n0)
b) x(n-n0)
c) x(-n-n0)
d) x(-n+n0)

3. Resolve the sequence  into a sum of weighted impulse sequences.
a) 2δ(n)+4δ(n-1)+3δ(n-3)
b) 2δ(n+1)+4δ(n)+3δ(n-2)
c) 2δ(n)+4δ(n-1)+3δ(n-2)
d) None of the mentioned

4. Determine the output y(n) of a LTI system with impulse response h(n)=anu(n), |a|<1with the input sequence x(n)=u(n).
a) 1−an+11−a
b) 1−an−11−a
c) 1+an+11+a
d) None of the mentioned

5. What is the order of the four operations that are needed to be done on h(k) in order to convolute x(k) and h(k)?
Step-1:Folding
Step-2:Multiplication with x(k)
Step-3:Shifting
Step-4:Summation
a) 1-2-3-4
b) 1-2-4-3
c) 2-1-3-4
d) 1-3-2-4

6. Is the system with impulse response h(n)=2nu(n-1) stable.
a) True
b) False

7. x(n)*[h1(n)+h2(n)]=x(n)*h1(n)+x(n)*h2(n).
a) True
b) False

8. The impulse response of a LTI system is h(n)={1,1,1}. What is the response of the signal to the input x(n)={1,2,3}?
a) {1,3,6,3,1}
b) {1,2,3,2,1}
c) {1,3,6,5,3}
d) {1,1,1,0,0}

9. An LTI system is said to be causal if and only if?
a) Impulse response is non-zero for positive values of n
b) Impulse response is zero for positive values of n
c) Impulse response is non-zero for negative values of n
d) Impulse response is zero for negative values of n

10. 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

11. x(n)*(h1(n)*h2(n))=(x(n)*h1(n))*h2(n).
a) True
b) False

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