Question

Q1. (a) An information-bearing signal $m(t)$ has the spectrum shown in Figure Q1. -4 4 f(kHz) Figure Q1 (i) What is the Nyquist (minimum) sampling frequency $f_{s(min)}$? Sketch the spectrum of the sampled signal (in the frequency range ±12 kHz) when sampled at this frequency. Why would $f_{s(min)}$ not be used in practice? [4 marks] (ii) Sketch the spectrum of the sampled signal over the range (±16 kHz) when $m(t)$ is sampled at a rate $f_s$=6 kHz. Comment on the spectrum. What are the steps usually employed in practice to minimize Aliasing? [4 marks]

          Q1.
(a) An information-bearing signal $m(t)$ has the spectrum shown in Figure Q1.
-4
4
f(kHz)
Figure Q1
(i) What is the Nyquist (minimum) sampling frequency $f_{s(min)}$? Sketch the spectrum
of the sampled signal (in the frequency range ±12 kHz) when sampled at this
frequency. Why would $f_{s(min)}$ not be used in practice?
[4 marks]
(ii) Sketch the spectrum of the sampled signal over the range (±16 kHz) when $m(t)$
is sampled at a rate $f_s$=6 kHz. Comment on the spectrum. What are the steps
usually employed in practice to minimize Aliasing?
[4 marks]

Show more…

Q1.
(a) An information-bearing signal m(t) has the spectrum shown in Figure Q1.
-4
4
f(kHz)
Figure Q1
(i) What is the Nyquist (minimum) sampling frequency fs(min)? Sketch the spectrum
of the sampled signal (in the frequency range ±12 kHz) when sampled at this
frequency. Why would fs(min) not be used in practice?
[4 marks]
(ii) Sketch the spectrum of the sampled signal over the range (±16 kHz) when m(t)
is sampled at a rate fs=6 kHz. Comment on the spectrum. What are the steps
usually employed in practice to minimize Aliasing?
[4 marks]

Added by Charles Q.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hemraj Kumawat

Step 1

In the given figure, the highest frequency component is at 8 kHz. According to the Nyquist-Shannon sampling theorem, the sampling frequency should be at least twice the highest frequency component. Therefore, fs(min) = 2 * 8 kHz = 16 kHz. The spectrum frequency Show more…

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Please answer all the questions, thank you! Q1. An information-bearing signal m(t) has the spectrum shown in Figure Q1. (i) What is the Nyquist (minimum) sampling frequency fs(min)? Sketch the spectrum frequency. Why would fs(min) not be used in practice? [4 marks] (ii) Sketch the spectrum of the sampled signal over the range (16 kHz) when m(t) is sampled at a rate fs = 6 kHz. Comment on the spectrum. What are the steps usually employed in practice to minimize Aliasing? [4 marks]

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