ELE541 Homework Solution Prob 6.3

Ts = 1/Fs = 1/8KHz = 125 uSec
UTP = N*Ts
Ff = 1/UTP

  Aphi
(rad)
NM f=MFf
(kHz)
UTP=NTs
(ms)
Ff =1/UTP
(Hz)
a20321 0.25 4250
b1pi/2 6413 1.625 8125
c2pi/8 645 0.625 8125
d1064334.1258125
e10128654.06251662.5
f0.5pi/8322.50.31254125

In case d the signal frequency is 4.125 kHz The sampling frequency of 8 kHz is not twice the signal frequency. Therefore aliasing will occur.

In case e the signal frequency is 4.0625 kHz The sampling frequency of 8 kHz is not twice the signal frequency. Therefore aliasing will occur.

Use the MATLAB script file in problem 6.2 to get the plots.