Shannon capacity theorem in which you will learn about the channel capacity with the bandwidth of the channel and SNR. The theorem states that for a given communication channel with a certain bandwidth and SNR, there exits a maximum achievable data rate, called the channel capacity.

1. QUAID-E-AWAM UNIVERSITY OF ENGINEERING SCIENCE AND
TECHNOLOGY, NAWABSHAH
DEPARTMENT OF ELECTRONIC ENGINEERING
Title: Shannon’s Capacity
Theorem:
Name: Laiba Hasan
Roll No: 19ES50
Department: Electronic Engineering
Assigned By: Dr. Nadeem Naeem

2. Shannon’s Capacity Theorem:
• In reality, all channels are noisy. Shannon capacity theorem
defines the theoretical highest data rate for a noisy channel:
C = B log2(1 + SNR)
• C is the channel capacity in bits per second.
• B is the bandwidth of the channel in hertz.
• SNR is the signal to noise ratio.

3. Shannon’s Capacity Theorem:
• Data rate at which date can be communicated, in bits per
second.
• Higher the signal-to-noise (SNR) ratio and more the channel
bandwidth, the higher the possible data rate.
• Channel capacity C is the speed.
• There is no indication of the signal level.

4. • Consider an extremely noisy channel in which the value of the
signal-to-noise ratio is almost zero. In other words, the noise is
so strong that the signal is faint. For this channel the capacity
C is:
• This means that the capacity of this channel is zero regardless
of the bandwidth. In other words, we cannot receive any data
through this channel.

5. • . A telephone line normally has a bandwidth of 3000. The
signal-to-noise ratio is usually 3162. For this channel the
capacity is:
• This means that the highest bit rate for a telephone line is
34.860 kbps.

6. Thank You ?