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17 Sep 2021
Q5. Base station transmit a signal to a User. The User is 1Km away from the BS.It has a LOS
connection. If the last reflected signal travel around 1.5Km to reach the User. Find the corresponding
delay spread of the system. (c=3 X10 8 ms-1).
The distortion caused by multipath transmission can be partly corrected by a tapped delayline equalizer. Show that if α « 1, the distortion in the multipath system in figure (a) can be
approximately corrected if the received signal is passed through the tapped delay line
equalizer shown in next figure.
![](data:image/png;base64,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)
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)
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)
Q5. Base station transmit a signal to a User. The User is 1Km away from the BS.It has a LOS
connection. If the last reflected signal travel around 1.5Km to reach the User. Find the corresponding
delay spread of the system. (c=3 X10 8 ms-1).
The distortion caused by multipath transmission can be partly corrected by a tapped delayline equalizer. Show that if α « 1, the distortion in the multipath system in figure (a) can be
approximately corrected if the received signal is passed through the tapped delay line
equalizer shown in next figure.
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