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Maximum Possible Data Rate over Channel Formula

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Channel Capacity represents the maximum rate at which reliable information can be transmitted over a communication channel in the presence of noise or interference. Check FAQs

C = 2 \cdot B \cdot \log 2 (1 + (\frac{P av}{P an}))

C - Channel Capacity?B - Radio Channel Bandwidth?P_av - Average Signal Power?P_an - Average Noise Power?

Maximum Possible Data Rate over Channel Example

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Here is how the Maximum Possible Data Rate over Channel equation looks like with Values.

Here is how the Maximum Possible Data Rate over Channel equation looks like with Units.

Here is how the Maximum Possible Data Rate over Channel equation looks like.

5.6653 = 2 \cdot 2.2 \cdot \log 2 (1 + (\frac{2.45}{1.7}))

5.6653b/s = 2 \cdot 2.2Hz \cdot \log 2 (1 + (\frac{2.45W}{1.7W}))

5.6653 = 2 \cdot 2.2 \cdot \log 2 (1 + (\frac{2.45}{1.7}))

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Maximum Possible Data Rate over Channel Solution

Follow our step by step solution on how to calculate Maximum Possible Data Rate over Channel?

FIRST Step Consider the formula

C = 2 \cdot B \cdot \log 2 (1 + (\frac{P av}{P an}))

Next Step Substitute values of Variables

∴

C = 2 \cdot 2.2Hz \cdot \log 2 (1 + (\frac{2.45W}{1.7W}))

Next Step Prepare to Evaluate

∴

C = 2 \cdot 2.2 \cdot \log 2 (1 + (\frac{2.45}{1.7}))

Next Step Evaluate

∴

C = 5.66533699642498b/s

LAST Step Rounding Answer

∴

C = 5.6653b/s

Maximum Possible Data Rate over Channel Formula Elements

Variables

Functions

Channel Capacity

Channel Capacity represents the maximum rate at which reliable information can be transmitted over a communication channel in the presence of noise or interference.

Symbol: C

Measurement: BandwidthUnit: b/s

Note: Value should be greater than 0.

Formulas to find Channel Capacity

Radio Channel Bandwidth

Radio Channel Bandwidth refers to the range of frequencies that a communication channel can carry.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Radio Channel Bandwidth

Average Signal Power

Average Signal Power refers to the mean or average value of the instantaneous power of a signal over a specified period of time.

Symbol: P_av

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Signal Power

Average Noise Power

Average Noise Power is a measure of the energy content of the unwanted signals within a specified frequency range or bandwidth.

Symbol: P_an

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Average Noise Power

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 Data Transmissions and Error Analysis category

Go Bit Error Rate

BER = \frac{N e}{N t}

Go Number of Bits in Error

N e = BER \cdot N t

Go Average Signal Power

P av = P ab \cdot B sym

Go Symbol Rate given Bit Rate

S rate = \frac{B rate}{B sym}

How to Evaluate Maximum Possible Data Rate over Channel?

Maximum Possible Data Rate over Channel evaluator uses Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)) to evaluate the Channel Capacity, Maximum Possible Data Rate over Channel formula represents the maximum rate at which reliable information can be transmitted over a communication channel in the presence of noise or interference. Channel Capacity is denoted by C symbol.

How to evaluate Maximum Possible Data Rate over Channel using this online evaluator? To use this online evaluator for Maximum Possible Data Rate over Channel, enter Radio Channel Bandwidth (B), Average Signal Power (P_av) & Average Noise Power (P_an) and hit the calculate button.

FAQs on Maximum Possible Data Rate over Channel

What is the formula to find Maximum Possible Data Rate over Channel?

The formula of Maximum Possible Data Rate over Channel is expressed as Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)). Here is an example- 5.665337 = 2*2.2*log2(1+(2.45/1.7)).

How to calculate Maximum Possible Data Rate over Channel?

With Radio Channel Bandwidth (B), Average Signal Power (P_av) & Average Noise Power (P_an) we can find Maximum Possible Data Rate over Channel using the formula - Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)). This formula also uses Binary Logarithm (log2) function(s).

Can the Maximum Possible Data Rate over Channel be negative?

No, the Maximum Possible Data Rate over Channel, measured in Bandwidth cannot be negative.

Which unit is used to measure Maximum Possible Data Rate over Channel?

Maximum Possible Data Rate over Channel is usually measured using the Bit Per Second[b/s] for Bandwidth. Kilobit per Second[b/s], Gigabit per Second[b/s], Byte per Second[b/s] are the few other units in which Maximum Possible Data Rate over Channel can be measured.

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Maximum Possible Data Rate over Channel Formula

Maximum Possible Data Rate over Channel Example

Maximum Possible Data Rate over Channel Solution

Maximum Possible Data Rate over Channel Formula Elements

Other formulas in Data Transmissions and Error Analysis category

How to Evaluate Maximum Possible Data Rate over Channel?

FAQs on Maximum Possible Data Rate over Channel

Variable Name