Hilbert Transformers Design

Digital Communications Systems

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 fl and fu are the cutoff frequencies, then what is the desired real valued frequency response of a Hilbert transform filter in the frequency range 2π fl < ω < 2πfu?
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

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