Noise Power of Gaussian Channel Calculator

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✖Noise Power Spectral Density (NPSD) refers to the power spectral density of the random fluctuations or noise in a communication channel.ⓘ Noise Power Spectral Density [P_SD]			+10% -10%
✖Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.ⓘ Channel Bandwidth [B]			+10% -10%

✖Noise power of Gaussian channel refers to the power of the random noise that is added to the transmitted signal as it travels through the channel.ⓘ Noise Power of Gaussian Channel [N_o]

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Formula

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Noise Power of Gaussian Channel

Formula

`"N"_{"o"} = 2*"P"_{"SD"}*"B"`

Example

`"8.2E^22pW"=2*"1.2e10"*"3.4Hz"`

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Noise Power of Gaussian Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth
N_o = 2*P_SD*B
This formula uses 3 Variables

Variables Used

Noise Power of Gaussian Channel - (Measured in Watt) - Noise power of Gaussian channel refers to the power of the random noise that is added to the transmitted signal as it travels through the channel.
Noise Power Spectral Density - Noise Power Spectral Density (NPSD) refers to the power spectral density of the random fluctuations or noise in a communication 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.

STEP 1: Convert Input(s) to Base Unit

Noise Power Spectral Density: 12000000000 --> No Conversion Required
Channel Bandwidth: 3.4 Hertz --> 3.4 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_o = 2*P_SD*B --> 2*12000000000*3.4

Evaluating ... ...

N_o = 81600000000

STEP 3: Convert Result to Output's Unit

81600000000 Watt -->8.16E+22 Picowatt (Check conversion here)

FINAL ANSWER

8.16E+22 ≈ 8.2E+22 Picowatt <-- Noise Power of Gaussian Channel

(Calculation completed in 00.004 seconds)

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BMS collegeof engineering (BMSCE), Benagluru

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Nyquist Rate

Go Nyquist Rate = 2*Channel Bandwidth

Noise Power of Gaussian Channel Formula

Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth
N_o = 2*P_SD*B

What is additive white Gaussian noise?

Additive white Gaussian noise (AWGN) is a basic noise model used in information theory to mimic the effect of many random processes that occur in nature.AWGN is often used as a channel model in which the only impairment to communication is a linear addition of wideband or white noise with a constant spectral density (expressed as watts per hertz of bandwidth) and a Gaussian distribution of amplitude.

What are uses of AWGN Channel?

The AWGN channel is a good model for many satellite and deep space communication links. It is not a good model for most terrestrial links because of multipath, terrain blocking, interference, etc. However, for terrestrial path modeling, AWGN is commonly used to simulate background noise of the channel under study, in addition to multipath, terrain blocking, interference, ground clutter and self interference that modern radio systems encounter in terrestrial operation.

How to Calculate Noise Power of Gaussian Channel?

Noise Power of Gaussian Channel calculator uses Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth to calculate the Noise Power of Gaussian Channel, The Noise Power of Gaussian Channel formula is defined as the measure of the total noise in a given bandwidth at the input or output of a device when the signal is not present. The integral of noise spectral density over the bandwidth. Noise Power of Gaussian Channel is denoted by N_o symbol.

How to calculate Noise Power of Gaussian Channel using this online calculator? To use this online calculator for Noise Power of Gaussian Channel, enter Noise Power Spectral Density (P_SD) & Channel Bandwidth (B) and hit the calculate button. Here is how the Noise Power of Gaussian Channel calculation can be explained with given input values -> 8.2E+34 = 2*12000000000*3.4.

FAQ

What is Noise Power of Gaussian Channel?

The Noise Power of Gaussian Channel formula is defined as the measure of the total noise in a given bandwidth at the input or output of a device when the signal is not present. The integral of noise spectral density over the bandwidth and is represented as N_o = 2*P_SD*B or Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth. Noise Power Spectral Density (NPSD) refers to the power spectral density of the random fluctuations or noise in a communication channel & Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication channel.

How to calculate Noise Power of Gaussian Channel?

The Noise Power of Gaussian Channel formula is defined as the measure of the total noise in a given bandwidth at the input or output of a device when the signal is not present. The integral of noise spectral density over the bandwidth is calculated using Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth. To calculate Noise Power of Gaussian Channel, you need Noise Power Spectral Density (P_SD) & Channel Bandwidth (B). With our tool, you need to enter the respective value for Noise Power Spectral Density & Channel Bandwidth 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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