Digital Signal Processing Mock Test 2

10%

Question 1 of 10

1. What is the ROC of the system function H(z) if the discrete time LTI system is BIBO stable?

None of the mentioned

Contain unit circle

Entire z-plane, except at z=0

Entire z-plane, except at z=∞

Question 1 of 10

Question 2 of 10

2. Which of the following is the Fourier series representation of the signal x(t)?

\(c_0+2\sum_{k=1}^{\infty}|c_k|tan(2πkF_0 t+θ_k)\)

None of the mentioned

\(c_0+2\sum_{k=1}^{\infty}|c_k|sin(2πkF_0 t+θ_k)\)

\(c_0+2\sum_{k=1}^{\infty}|c_k|cos(2πkF_0 t+θ_k)\)

Question 2 of 10

Question 3 of 10

3. If X+(z) is the one sided z-transform of x(n), then what is the one sided z-transform of x(n-k)?

z^-k \([X^+(z)+\sum_{n=0}^k x(-n)z^n]\); k>0

z^-k \([X^+(z)+\sum_{n=1}^k x(-n)z^n]\); k>0

z^k X⁺(z^-1)

z^-k X⁺(z)

Question 3 of 10

Question 4 of 10

4. What is the ROC of a causal infinite length sequence?

|z|<r₁

|z|>r₁

r₂<|z|<r₁

None of the mentioned

Question 4 of 10

Question 5 of 10

5. What is the convolution x(n) of the signals x₁(n)={1,-2,1} and x₂(n)={1,1,1,1,1,1}?

{-1,-1,0,0,0,0,-1,-1}

{1,1,0,0,0,0,1,1}

{-1,1,0,0,0,0,1,-1}

{1,-1,0,0,0,0,-1,1}

Question 5 of 10

Question 6 of 10

6. 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 _____________

Unilateral z-transform

Bilateral z-transform

Rational z-transform

None of the mentioned

Question 6 of 10

Question 7 of 10

7. What is the signal x(n) whose z-transform X(z)=log(1+az^-1);|z|>|a|?

\((-1)^{n-1}.\frac{a^n}{n}.u(n+1)\)

\((-1)^n.\frac{a^n}{n}.u(n+1)\)

\((-1)^{n-1}.\frac{a^n}{n}.u(n-1)\)

\((-1)^n.\frac{a^n}{n}.u(n-1)\)

Question 7 of 10

Question 8 of 10

8. Is the discrete time LTI system with impulse response h(n)=aⁿ(n) (|a| < 1) BIBO stable?

True

False

Question 8 of 10

Question 9 of 10

9. What is the one sided z-transform X⁺(z) of the signal x(n)={1,2,5,7,0,1}?

5+7z^-1+z^-3

z^-2+2z^-1+5+7z+z³

5+7z+z³

z²+2z+5+7z^-1+z^-3

Question 9 of 10

Question 10 of 10

10. If X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal x(-n)?

X^-1(z)

None of the mentioned

X(-z)

X(z^-1)

Question 10 of 10