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# CS601 assignment 3 solution

Question No. 1
Imagine a signal (P1) travels through an amplifier and its power is increased 20 times. This means that P2 (the amplified signal) =20P1.
You are required to calculate the amplification (gain of power) by writing all necessary calculations and formula.

Q#1: dB=10log10(P2/P1)
=10log10(20P1/P1)
=10log10(20)
=10 x1.3010
=13.010dB

Question No. 2

Suppose that S/N i.e. signal to noise ratio = 34dB and bandwidth of the channel is 2 kHz. You are required to calculate the theoretical channel capacity in bps by writing all necessary calculations and formula.
Here,
B = Bandwidth of the channel = 2 kHz = 2000 Hz
S/N = Signal to Noise ratio = 34 dB = 2511
Formula for Channel Capacity = B log base 2 (1 + S/N ) in bps
Putting the values in the formula:
= 2000 log base 2 ( 1 + 2511)
= 2000 log base 2(2512)

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