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Channel Capacity Calculator

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Continuous Channels Source Coding

✖Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.ⓘ Channel Bandwidth [B]			+10% -10%
✖The Signal to noise ratio is defined as s a measure of the strength of the desired signal relative to background noise (undesired signal).ⓘ Signal to Noise Ratio [SNR]			+10% -10%

✖Channel Capacity is defined to be the maximum rate at which information can be transmitted through a channel.ⓘ Channel Capacity [C]

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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 00.006 seconds)

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< Continuous Channels Calculators

Channel Capacity

LaTeX Go Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)

Noise Power of Gaussian Channel

LaTeX Go Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth

Information Rate

LaTeX Go Information Rate = Symbol Rate*Entropy

Nyquist Rate

LaTeX Go Nyquist Rate = 2*Channel Bandwidth

Channel Capacity Formula

LaTeX Go

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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