A continuous time signal is represented by: x(t) = 2 cos 40 tt + 4 sin 6 Ont %3! (a) Briefly explain the concept of sampling. (b) Determine the minimum sampling frequency to avoid aliasing. Hint: f = w/2n (c) Find the discrete-time signal x[n] obtained by sampling the signal x(t) given above at the sampling rate fs = 40 Hz. Hint: T, = and x[n]=x[nTs] fs (d) Explain what will happen if aliasing occurs.

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Question 4
A continuous time signal is represented by: x(t) = 2 cos 40 tt + 4 sin 6 Ont
(a)
Briefly explain the concept of sampling.
(b)
Determine the minimum sampling frequency to avoid aliasing.
Hint: f = w/2n
1
(c)
Find the discrete-time signal x[n] obtained by sampling the signal x(f) given
above at the sampling rate fs = 40 Hz.
Hint: T, = and x[n]=x[nTs]
fs
(d)
Explain what will happen if aliasing occurs.
Transcribed Image Text:Question 4 A continuous time signal is represented by: x(t) = 2 cos 40 tt + 4 sin 6 Ont (a) Briefly explain the concept of sampling. (b) Determine the minimum sampling frequency to avoid aliasing. Hint: f = w/2n 1 (c) Find the discrete-time signal x[n] obtained by sampling the signal x(f) given above at the sampling rate fs = 40 Hz. Hint: T, = and x[n]=x[nTs] fs (d) Explain what will happen if aliasing occurs.
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