Channel Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)
C = B*log2(1+SNR)
This formula uses 1 Functions, 3 Variables
Functions Used
log2 - The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n., log2(Number)
Variables Used
Channel Capacity - (Measured in Bit per Second) - Channel Capacity is defined to be the maximum rate at which information can be transmitted through a channel.
Channel Bandwidth - (Measured in Hertz) - Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.
Signal to Noise Ratio - (Measured in Decibel) - The Signal to noise ratio is defined as s a measure of the strength of the desired signal relative to background noise (undesired signal).
STEP 1: Convert Input(s) to Base Unit
Channel Bandwidth: 3.4 Hertz --> 3.4 Hertz No Conversion Required
Signal to Noise Ratio: 20 Decibel --> 20 Decibel No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = B*log2(1+SNR) --> 3.4*log2(1+20)
Evaluating ... ...
C = 14.9338792374478
STEP 3: Convert Result to Output's Unit
14.9338792374478 Bit per Second --> No Conversion Required
FINAL ANSWER
14.9338792374478 14.93388 Bit per Second <-- Channel Capacity
(Calculation completed in 00.004 seconds)

Credits

Created by Bhuvana
BMS collegeof engineering (BMSCE), Benagluru
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BMS College Of Engineering (BMSCE), Banglore
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10+ Continuous Channels Calculators

Channel Capacity
Go Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)
Noise Power Spectral Density of Gaussian Channel
Go Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel
Noise Power of Gaussian Channel
Go Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth
Amount of Information
Go Amount of Information = log2(1/Probability of Occurrence)
Data Transfer
Go Data Transfer = (File Size*8)/Transfer Speed
Nth Extension Entropy
Go Nth Extension Entropy = Nth Source*Entropy
Information Rate
Go Information Rate = Symbol Rate*Entropy
Symbol Rate
Go Symbol Rate = Information Rate/Entropy
Maximum Entropy
Go Maximum Entropy = log2(Total Symbol)
Nyquist Rate
Go Nyquist Rate = 2*Channel Bandwidth

Channel Capacity Formula

Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)
C = B*log2(1+SNR)

What is the significance of Channel Capacity equation?

It is possible to transmit over a channel and bandwidth corrupted by AWGN at a rate of 'C' bits/sec with an arbitrarily small probability of error if the signal is encoded in such a manner that the samples are all Gaussian signals.

What are the uses of channel capacity?

The maximum amount of information, or data capacity, which can be sent over any channel or medium. It is seen in case of wireless, coax, twister pair, fiber.

How to Calculate Channel Capacity?

Channel Capacity calculator uses Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio) to calculate the Channel Capacity, The Channel Capacity formula is defined as is defined to be the maximum rate at which information can be transmitted through a channel. Channel Capacity is denoted by C symbol.

How to calculate Channel Capacity using this online calculator? To use this online calculator for Channel Capacity, enter Channel Bandwidth (B) & Signal to Noise Ratio (SNR) and hit the calculate button. Here is how the Channel Capacity calculation can be explained with given input values -> 14.93388 = 3.4*log2(1+20).

FAQ

What is Channel Capacity?
The Channel Capacity formula is defined as is defined to be the maximum rate at which information can be transmitted through a channel and is represented as C = B*log2(1+SNR) or Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio). Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel & The Signal to noise ratio is defined as s a measure of the strength of the desired signal relative to background noise (undesired signal).
How to calculate Channel Capacity?
The Channel Capacity formula is defined as is defined to be the maximum rate at which information can be transmitted through a channel is calculated using Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio). To calculate Channel Capacity, you need Channel Bandwidth (B) & Signal to Noise Ratio (SNR). With our tool, you need to enter the respective value for Channel Bandwidth & Signal to Noise Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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