07-11-2017, 11:09 AM

CS601 Data Communication

Assignment 3 - Spring 2017

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.

Answer:

How to calculate signal amplification

Formula for Signal Amplification: 10 log (P2/P1)

Putting the above values,

= 10 log (20P1/P1)

= 10 log (20)

= 13 dB.

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.

Answer:

How to calculate Channel Capacity

Formula for Channel Capacity = B log base 2 (1 + S/N ) in bps

Here,

B = Bandwidth of the channel = 2 kHz = 2000 Hz

S/N = Signal to Noise ratio = 34 dB = 2511

Putting the values in the formula:

= 2000 log base 2 ( 1 + 2511)

= 22,589 bps

Comment below for any questions.

Assignment 3 - Spring 2017

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.

Answer:

How to calculate signal amplification

Formula for Signal Amplification: 10 log (P2/P1)

Putting the above values,

= 10 log (20P1/P1)

= 10 log (20)

= 13 dB.

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.

Answer:

How to calculate Channel Capacity

Formula for Channel Capacity = B log base 2 (1 + S/N ) in bps

Here,

B = Bandwidth of the channel = 2 kHz = 2000 Hz

S/N = Signal to Noise ratio = 34 dB = 2511

Putting the values in the formula:

= 2000 log base 2 ( 1 + 2511)

= 22,589 bps

Comment below for any questions.