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This question was created from Exam1_2012.pdf https://www.coursehero.com/file/26518299/Exam1-2012pdf/

Can someone explain and help me on how to slove for 3b.

3. Ideal Sampling and Reconstruction: (20 Pis) The following system is used to process
an analog signal with a discrete-time system.
Fa(f)
Ideal
I(n)
Discrete Time y(n)
Ideal
ya (()
A/D
System
DIA
Figure 1: Ideal A/D and D/A System.
Suppose that z.(() is bandlimited with X.(/] =0 for [/'| &gt; 10 kellz as shown in the
Figure 2 and suppose that the discrete-time system is an ideal low-pass filter with real
coefficients, a cuttoll frequency of w = x/4, and unity gain.
X.(F)
-10 KH 2
10 KHE
Figure 2: Frequency Spectrum X.(F)-
(a) Draw Y.(1) given that Pay =20 kiz and F.pyx = 20 kHz. Be sure to clearly
label the x-axis, making note of the range of spectral content and content resulting
from aliased frequencies, if any.
(b) Repeal for Frapp = 10 klz and Fapy = 10 kHz.

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