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Channel Capacity Formula

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Channel Capacity is defined to be the maximum rate at which information can be transmitted through a channel. Check FAQs

C = B \cdot \log 2 (1 + SNR)

C - Channel Capacity?B - Channel Bandwidth?SNR - Signal to Noise Ratio?

Channel Capacity Example

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Here is how the Channel Capacity equation looks like with Values.

Here is how the Channel Capacity equation looks like with Units.

Here is how the Channel Capacity equation looks like.

14.9339 = 3.4 \cdot \log 2 (1 + 20)

14.9339b/s = 3.4Hz \cdot \log 2 (1 + 20dB)

14.9339 = 3.4 \cdot \log 2 (1 + 20)

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Channel Capacity Solution

Follow our step by step solution on how to calculate Channel Capacity?

FIRST Step Consider the formula

C = B \cdot \log 2 (1 + SNR)

Next Step Substitute values of Variables

∴

C = 3.4Hz \cdot \log 2 (1 + 20dB)

Next Step Prepare to Evaluate

∴

C = 3.4 \cdot \log 2 (1 + 20)

Next Step Evaluate

∴

C = 14.9338792374478b/s

LAST Step Rounding Answer

∴

C = 14.9339b/s

Channel Capacity Formula Elements

Variables

Functions

Channel Capacity

Channel Capacity is defined to be the maximum rate at which information can be transmitted through a channel.

Symbol: C

Measurement: Data TransferUnit: b/s

Note: Value should be greater than 0.

Formulas to find Channel Capacity

Channel Bandwidth

Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Channel Bandwidth

Signal to Noise Ratio

The Signal to noise ratio is defined as s a measure of the strength of the desired signal relative to background noise (undesired signal).

Symbol: SNR

Measurement: SoundUnit: dB

Note: Value can be positive or negative.

Formulas to find Signal to Noise Ratio

log2

The binary logarithm (or log base 2) is the power to which the number 2 must be raised to obtain the value n.

Syntax: log2(Number)

Other formulas in Continuous Channels category

Go Noise Power of Gaussian Channel

N o = 2 \cdot P SD \cdot B

Go Nyquist Rate

N r = 2 \cdot B

Go Information Rate

R = r s \cdot H[S]

Go Amount of Information

I = \log 2 (\frac{1}{P k})

How to Evaluate Channel Capacity?

Channel Capacity evaluator uses Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio) to evaluate 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 evaluate Channel Capacity using this online evaluator? To use this online evaluator for Channel Capacity, enter Channel Bandwidth (B) & Signal to Noise Ratio (SNR) and hit the calculate button.

FAQs on Channel Capacity

What is the formula to find Channel Capacity?

The formula of Channel Capacity is expressed as Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio). Here is an example- 14.93388 = 3.4*log2(1+20).

How to calculate Channel Capacity?

With Channel Bandwidth (B) & Signal to Noise Ratio (SNR) we can find Channel Capacity using the formula - Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio). This formula also uses Binary Logarithm (log2) function(s).

Can the Channel Capacity be negative?

No, the Channel Capacity, measured in Data Transfer cannot be negative.

Which unit is used to measure Channel Capacity?

Channel Capacity is usually measured using the Bit per Second[b/s] for Data Transfer. Kilobit per Second[b/s], Kilobyte per Second[b/s], Megabit per Second[b/s] are the few other units in which Channel Capacity can be measured.

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