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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) Which of the following method is used to find the inverse z-transform of a signal?
[A] Counter integration
[B] Expansion into a series of terms
[C] Partial fraction expansion
[D] All of the mentioned
Answer: All of the mentioned
(2)  The z-transform of a signal x(n) whose definition is given by X(z)=\sum_{n=0}^{\infty} x(n)z^{-n} is known as _____________
[A] Unilateral z-transform
[B] Bilateral z-transform
[C] Rational z-transform
[D] None of the mentioned
Answer: Unilateral z-transform

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(3) For what kind of signals one sided z-transform is unique?
[A] All signals
[B] Anti-causal signal
[C] Causal signal
[D] None of the mentioned
Answer: Causal signal
(4) What is the one sided z-transform X+(z) of the signal x(n)={1,2,5,7,0,1}?
[A] z2+2z+5+7z-1+z-3
[B] 5+7z+z3
[C] z-2+2z-1+5+7z+z3
[D] 5+7z-1+z-3
Answer: 5+7z-1+z-3
(5) What is the one sided z-transform of x(n)=δ(n-k)?
[A] z-k
[B] zk
[C] 0
[D] 1
Answer: z-k
(6) What is the one sided z-transform of x(n)=δ(n+k)?
[A] z-k
[B] 0
[C] zk
[D] 1
Answer: 0 =0, elsewhere
(7) If all the poles of H(z) are outside the unit circle, then the system is said to be _____________
[A] Only causal
[B] Only BIBO stable
[C] BIBO stable and causal
[D] None of the mentioned
Answer: None of the mentioned
(8)  If pk, k=1,2,…N are the poles of the system and |pk| < 1 for all k, then the natural response of such a system is called as Transient response.
[A] True
[B] False
Answer: True
(9) If all the poles have small magnitudes, then the rate of decay of signal is __________
[A] Slow
[B] Constant
[C] Rapid
[D] None of the mentioned
Answer: Rapid
(10) If one or more poles are located near the unit circle, then the rate of decay of signal is _________
[A] Slow
[B] Constant
[C] Rapid
[D] None of the mentioned
Answer: Slow

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