a) Consider a signal m(t) = cos @,t; illustrate the effect of under-sampling m(t) for a sampling rate 3 of f, = fo- i. Show the results in frequency domain and state the effect that occurs due to this under- sampling. Sketch the output from the sampled signal if we use a LPF with cutoff frequency f. = 2 ii.

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Author:Robert L. Boylestad
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Subject : Communication Systems
a) Consider a signal m(t) = cos @,t; illustrate the effect of under-sampling m(t) for a sampling rate
3
of f, =-
i.
Show the results in frequency domain and state the effect that occurs due to this under-
sampling.
ii.
Sketch the output from the sampled signal if we use a LPF with cutoff frequency f. =
2
b) The spectrum M(f) of a bandpass signal m(t) is shown in the figure below. Sketch the ideally
sampled signal for sampling frequency f,= 25 kHz, 45 kHz and 50 kHz. (clearly mention the
frequencies on the axis)
i.
For each case, justify properly, whether it's possible to recover the original signal from
the sampled version or not.
Indicate the filter and cutoff frequencies of the corresponding filter used for
reconstruction.
ii.
MS)
25
- 15
15 25
S (kHz)
Transcribed Image Text:a) Consider a signal m(t) = cos @,t; illustrate the effect of under-sampling m(t) for a sampling rate 3 of f, =- i. Show the results in frequency domain and state the effect that occurs due to this under- sampling. ii. Sketch the output from the sampled signal if we use a LPF with cutoff frequency f. = 2 b) The spectrum M(f) of a bandpass signal m(t) is shown in the figure below. Sketch the ideally sampled signal for sampling frequency f,= 25 kHz, 45 kHz and 50 kHz. (clearly mention the frequencies on the axis) i. For each case, justify properly, whether it's possible to recover the original signal from the sampled version or not. Indicate the filter and cutoff frequencies of the corresponding filter used for reconstruction. ii. MS) 25 - 15 15 25 S (kHz)
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