Problem 6.X1 The Fourier transform of the continuous time signal x(t) is given by the following figure (X(jN) = 0 for 1의 > 10 ) X(jN) 1.0 F 0.8 0.6 0.4 0.2 Ω -10 -5 10 The signal is sampled to obtain the signal a[n] a(nT) with Fourier transform X(ejw). 1. What is the minimum sampling frequency NT = that can be used to avoid aliasing?

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Problem 6.X1
O for
The Fourier transform of the continuous time signal x(t) is given by the following figure (X (jN)
1외 > 10 )
X(jN)
1.0
0.8
0.6
0.4
0.2
Ω
-10
-5
10
The signal is sampled to obtain the signal
[u]x
a(nT)
with Fourier transform X(eĵw).
1.
What is the minimum sampling frequency NT = that can be used to avoid aliasing?
In the following the sampling frequency is NT.
= 37.
2.
Sketch the Fourier transform X (e") of x[n].
3. Find an expression for x[n] .
Transcribed Image Text:Problem 6.X1 O for The Fourier transform of the continuous time signal x(t) is given by the following figure (X (jN) 1외 > 10 ) X(jN) 1.0 0.8 0.6 0.4 0.2 Ω -10 -5 10 The signal is sampled to obtain the signal [u]x a(nT) with Fourier transform X(eĵw). 1. What is the minimum sampling frequency NT = that can be used to avoid aliasing? In the following the sampling frequency is NT. = 37. 2. Sketch the Fourier transform X (e") of x[n]. 3. Find an expression for x[n] .
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