This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Design of Hilbert Transforms”.

1. What kind of filter is an ideal Hilbert transformer?

a) Low pass

b) High pass

c) Band pass**d) All pass**

2. How much phase shift does an Hilbert transformer impart on the input?

a) 45°**b) 90°**

c) 135°

d) 180°

3. Which of the following is the frequency response of the ideal Hilbert transform?**a)**

-j ;0 ≤ ω ≤ π j ;-π ≤ ω ≤ 0

b)

j ;0 ≤ ω ≤ π -j ;-π ≤ ω ≤ 0

c) -j ;-π ≤ ω ≤ π

d) None of the mentioned

4. In which of the following fields, Hilbert transformers are frequently used?

a) Generation of SSB signals

b) Radar signal processing

c) Speech signal processing**d) All of the mentioned**

5. The unit sample response of an ideal Hilbert transform is

h(n)=2π(sin(πn2))2n; n≠0

h(n)=0; n=0**a) True**

b) False

6. The unit sample response of Hilbert transform is infinite in duration and causal.

a) True**b) False**

7. The unit sample response of Hilbert transform is _______________

a) Zero

b) Symmetric**c) Anti-symmetric**

d) None of the mentioned

8. In this section, we confine our attention on the design of FIR Hilbert transformers with h(n)=-h(M-1-n).**a) True**

b) False

9. Which of the following is true regarding the frequency response of Hilbert transform?

a) Complex**b) Purely imaginary**

c) Purely real

d) Zero

.

10. It is impossible to design an all-pass digital Hilbert transformer.**a) True**

b) False

11. If f_{l} and f_{u} are the cutoff frequencies, then what is the desired real valued frequency response of a Hilbert transform filter in the frequency range 2π f_{l} < ω < 2πf_{u}?

a) -1

b) -0.5

c) 0**d) 1**

12. What is the value of unit sample response of an ideal Hilbert transform for ‘n’ even?

a) -1

b) 1

c) 0

d) None of the mentioned