Digital Signal Processing Mock Test 6

10%

Question 1 of 10

1. If s=σ+jΩ and z=re^jω, then what is the condition on σ if r>1?

σ > 0

σ > 1

σ < 0

σ < 1

Question 1 of 10

Question 2 of 10

2. The sum of number of maxima and minima in the pass band equals the order of the filter.

False

True

Question 2 of 10

Question 3 of 10

3. The poles of H_N(s).H_N(-s) are found to lie on ___________

Parabola

Hyperbola

Ellipse

Circle

Question 3 of 10

Question 4 of 10

4. What is the radius of the circle represented by the image of jΩ axis of the s-domain?

0.5

0.75

0.25

Question 4 of 10

Question 5 of 10

5. Which of the following is true when the response of the single pole filter is in the limit cycle?

Actual non-linear system acts as an equivalent linear system

Actual non-linear system acts as an equivalent non-linear system

Actual linear system acts as an equivalent linear system

Actual linear system acts as an equivalent non-linear system

Question 5 of 10

Question 6 of 10

6. What is the Fourier transform of the unit step function U(ω)?

πδ(ω)-0.5+j0.5cot(ω/2)

πδ(ω)+0.5+j0.5cot(ω/2)

πδ(ω)+0.5-j0.5cot(ω/2)

πδ(ω)-0.5-j0.5cot(ω/2)

Question 6 of 10

Question 7 of 10

7. Which of the following is the expression for \(\frac{∂p_i}{∂a_k}\)?

\(\frac{p_i^{N-k}}{\prod_{l=1}^n p_i-p_l}\)

\(\frac{-p_i^{N+k}}{\prod_{l=1}^n p_i-p_l}\)

\(\frac{-p_i^{N-k}}{\prod_{l=1}^n p_i-p_l}\)

None of the mentioned

Question 7 of 10

Question 8 of 10

8. What is the value of |T_N(±1)|?

-1

None of the mentioned

Question 8 of 10

Question 9 of 10

9. If h(n) is causal and h(n)=h_e(n)+h_o(n),then what is the expression for h(n) in terms of only h_e(n)?

h(n)=2h_e(n)u(n)+h_e(0)δ(n), n ≥ 0

h(n)=2h_e(n)u(n)+h_e(0)δ(n), n ≥ 1

h(n)=2h_e(n)u(n)-h_e(0)δ(n), n ≥ 0

h(n)=2h_e(n)u(n)-h_e(0)δ(n), n ≥ 1

Question 9 of 10

Question 10 of 10

10. The following diagram represents the unit sample response of which of the following filters?

Ideal high pass filter

Ideal high pass filter at ω=π/4

Ideal low pass filter

Ideal low pass filter at ω=π/4

Question 10 of 10