Maximum Possible Data Rate over Channel Calculator

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Data Transmissions and Error Analysis

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Mobile Radio Propogation

✖Radio Channel Bandwidth refers to the range of frequencies that a communication channel can carry.ⓘ Radio Channel Bandwidth [B]			+10% -10%
✖Average Signal Power refers to the mean or average value of the instantaneous power of a signal over a specified period of time.ⓘ Average Signal Power [P_av]			+10% -10%
✖Average Noise Power is a measure of the energy content of the unwanted signals within a specified frequency range or bandwidth.ⓘ Average Noise Power [P_an]			+10% -10%

✖Channel Capacity represents the maximum rate at which reliable information can be transmitted over a communication channel in the presence of noise or interference.ⓘ Maximum Possible Data Rate over Channel [C]

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Maximum Possible Data Rate over Channel

Formula

`"C" = 2*"B"*log2(1+("P"_{"av"}/"P"_{"an"}))`

Example

`"5.665337b/s"=2*"2.2Hz"*log2(1+("2.45W"/"1.7W"))`

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Maximum Possible Data Rate over Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power))
C = 2*B*log2(1+(P_av/P_an))
This formula uses 1 Functions, 4 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 represents the maximum rate at which reliable information can be transmitted over a communication channel in the presence of noise or interference.
Radio Channel Bandwidth - (Measured in Hertz) - Radio Channel Bandwidth refers to the range of frequencies that a communication channel can carry.
Average Signal Power - (Measured in Watt) - Average Signal Power refers to the mean or average value of the instantaneous power of a signal over a specified period of time.
Average Noise Power - (Measured in Watt) - Average Noise Power is a measure of the energy content of the unwanted signals within a specified frequency range or bandwidth.

STEP 1: Convert Input(s) to Base Unit

Radio Channel Bandwidth: 2.2 Hertz --> 2.2 Hertz No Conversion Required
Average Signal Power: 2.45 Watt --> 2.45 Watt No Conversion Required
Average Noise Power: 1.7 Watt --> 1.7 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = 2*B*log2(1+(P_av/P_an)) --> 2*2.2*log2(1+(2.45/1.7))

Evaluating ... ...

C = 5.66533699642498

STEP 3: Convert Result to Output's Unit

5.66533699642498 Bit Per Second --> No Conversion Required

FINAL ANSWER

5.66533699642498 ≈ 5.665337 Bit Per Second <-- Channel Capacity

(Calculation completed in 00.004 seconds)

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Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 14 Data Transmissions and Error Analysis Calculators

Maximum Possible Data Rate over Channel

Go Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power))

Average SNR per Bit

Go Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power)

Average Signal Power per Bit

Go Average Signal Power per Bit = Average Signal Power/Number of Bits per Symbol

Average Signal Power

Go Average Signal Power = Average Signal Power per Bit*Number of Bits per Symbol

Number of Symbol in Error

Go Number of Symbols in Error = Symbol Error Rate*Number of Symbols Transmitted

Symbol Error Rate

Go Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted

Number of Bits in Error

Go Number of Bits in Error = Bit Error Rate*Total Number of Bits Transmitted

Bit Error Rate

Go Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted

Average SNR for Two Dimensional Constellation

Go Average SNR = Average Signal Power/(2*Average Noise Power)

Average Signal Power for Two Dimensional Constellation

Go Average Signal Power = 2*Average SNR*Average Noise Power

Symbol Rate given Bit Rate

Go Symbol Rate = Bit Rate/Number of Bits per Symbol

Number of Bits per Symbol

Go Number of Bits per Symbol = Bit Rate/Symbol Rate

Average Probability of Correct Decision

Go Average Probability of Correct Decision = 1-Average Probability of Error

Average Probability of Error

Go Average Probability of Error = 1-Average Probability of Correct Decision

Maximum Possible Data Rate over Channel Formula

Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power))
C = 2*B*log2(1+(P_av/P_an))

What is 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.

How to Calculate Maximum Possible Data Rate over Channel?

Maximum Possible Data Rate over Channel calculator uses Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)) to calculate 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 calculate Maximum Possible Data Rate over Channel using this online calculator? To use this online calculator 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. Here is how the Maximum Possible Data Rate over Channel calculation can be explained with given input values -> 5.665337 = 2*2.2*log2(1+(2.45/1.7)).

FAQ

What is Maximum Possible Data Rate over Channel?

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 and is represented as C = 2*B*log2(1+(P_av/P_an)) or Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)). Radio Channel Bandwidth refers to the range of frequencies that a communication channel can carry, Average Signal Power refers to the mean or average value of the instantaneous power of a signal over a specified period of time & Average Noise Power is a measure of the energy content of the unwanted signals within a specified frequency range or bandwidth.

How to calculate Maximum Possible Data Rate over Channel?

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 is calculated using Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power)). To calculate Maximum Possible Data Rate over Channel, you need Radio Channel Bandwidth (B), Average Signal Power (P_av) & Average Noise Power (P_an). With our tool, you need to enter the respective value for Radio Channel Bandwidth, Average Signal Power & Average Noise Power 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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