Average SNR per Bit Calculator

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✖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%
✖Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.ⓘ Number of Bits per Symbol [B_sym]			+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%

✖Average SNR per Bit represents the ratio of the average signal power per bit to the average noise power per bit.ⓘ Average SNR per Bit [SNR_ab]

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Average SNR per Bit

Formula

`"SNR"_{"ab"} = "P"_{"av"}/(2*"B"_{"sym"}*"P"_{"an"})`

Example

`"0.090074"="2.45W"/(2*"8bits"*"1.7W")`

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Average SNR per Bit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power)
SNR_ab = P_av/(2*B_sym*P_an)
This formula uses 4 Variables

Variables Used

Average SNR per Bit - Average SNR per Bit represents the ratio of the average signal power per bit to the average noise power per bit.
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.
Number of Bits per Symbol - (Measured in Bit) - Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.
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

Average Signal Power: 2.45 Watt --> 2.45 Watt No Conversion Required
Number of Bits per Symbol: 8 Bit --> 8 Bit No Conversion Required
Average Noise Power: 1.7 Watt --> 1.7 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SNR_ab = P_av/(2*B_sym*P_an) --> 2.45/(2*8*1.7)

Evaluating ... ...

SNR_ab = 0.0900735294117647

STEP 3: Convert Result to Output's Unit

0.0900735294117647 --> No Conversion Required

FINAL ANSWER

0.0900735294117647 ≈ 0.090074 <-- Average SNR per Bit

(Calculation completed in 00.004 seconds)

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Credits

Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

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

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Average SNR per Bit Formula

Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power)
SNR_ab = P_av/(2*B_sym*P_an)

How is error rate performance calculated ?

Error rate performance is typically calculated by comparing the transmitted data with the received data to determine how many bits or symbols were received incorrectly.

How to Calculate Average SNR per Bit?

Average SNR per Bit calculator uses Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power) to calculate the Average SNR per Bit, The Average SNR per Bit quantifies the average strength of the signal relative to the average strength of the noise for each transmitted bit of information. Average SNR per Bit is denoted by SNR_ab symbol.

How to calculate Average SNR per Bit using this online calculator? To use this online calculator for Average SNR per Bit, enter Average Signal Power (P_av), Number of Bits per Symbol (B_sym) & Average Noise Power (P_an) and hit the calculate button. Here is how the Average SNR per Bit calculation can be explained with given input values -> 0.090074 = 2.45/(2*8*1.7).

FAQ

What is Average SNR per Bit?

The Average SNR per Bit quantifies the average strength of the signal relative to the average strength of the noise for each transmitted bit of information and is represented as SNR_ab = P_av/(2*B_sym*P_an) or Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power). Average Signal Power refers to the mean or average value of the instantaneous power of a signal over a specified period of time, Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel & Average Noise Power is a measure of the energy content of the unwanted signals within a specified frequency range or bandwidth.

How to calculate Average SNR per Bit?

The Average SNR per Bit quantifies the average strength of the signal relative to the average strength of the noise for each transmitted bit of information is calculated using Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power). To calculate Average SNR per Bit, you need Average Signal Power (P_av), Number of Bits per Symbol (B_sym) & Average Noise Power (P_an). With our tool, you need to enter the respective value for Average Signal Power, Number of Bits per Symbol & 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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