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Noise Power of Gaussian Channel Formula

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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. Check FAQs

N o = 2 \cdot P SD \cdot B

N_o - Noise Power of Gaussian Channel?P_SD - Noise Power Spectral Density?B - Channel Bandwidth?

Noise Power of Gaussian Channel Example

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Here is how the Noise Power of Gaussian Channel equation looks like with Values.

Here is how the Noise Power of Gaussian Channel equation looks like with Units.

Here is how the Noise Power of Gaussian Channel equation looks like.

8.2E+22 = 2 \cdot 1.2E+10 \cdot 3.4

8.2E+22pW = 2 \cdot 1.2E+10 \cdot 3.4Hz

8.2E+22 = 2 \cdot 1.2E+10 \cdot 3.4

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Noise Power of Gaussian Channel Solution

Follow our step by step solution on how to calculate Noise Power of Gaussian Channel?

FIRST Step Consider the formula

N o = 2 \cdot P SD \cdot B

Next Step Substitute values of Variables

∴

N o = 2 \cdot 1.2E+10 \cdot 3.4Hz

Next Step Prepare to Evaluate

∴

N o = 2 \cdot 1.2E+10 \cdot 3.4

Next Step Evaluate

∴

N o = 81600000000W

Next Step Convert to Output's Unit

∴

N o = 8.16E+22pW

LAST Step Rounding Answer

∴

N o = 8.2E+22pW

Noise Power of Gaussian Channel Formula Elements

Variables

Noise Power of Gaussian Channel

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.

Symbol: N_o

Measurement: PowerUnit: pW

Note: Value can be positive or negative.

Formulas to find Noise Power of Gaussian 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.

Symbol: P_SD

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Noise Power Spectral Density

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

Other formulas in Continuous Channels category

Go Channel Capacity

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

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 Noise Power of Gaussian Channel?

Noise Power of Gaussian Channel evaluator uses Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth to evaluate 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 evaluate Noise Power of Gaussian Channel using this online evaluator? To use this online evaluator for Noise Power of Gaussian Channel, enter Noise Power Spectral Density (P_SD) & Channel Bandwidth (B) and hit the calculate button.

FAQs on Noise Power of Gaussian Channel

What is the formula to find Noise Power of Gaussian Channel?

The formula of Noise Power of Gaussian Channel is expressed as Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth. Here is an example- 8.2E+34 = 2*12000000000*3.4.

How to calculate Noise Power of Gaussian Channel?

With Noise Power Spectral Density (P_SD) & Channel Bandwidth (B) we can find Noise Power of Gaussian Channel using the formula - Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth.

Can the Noise Power of Gaussian Channel be negative?

Yes, the Noise Power of Gaussian Channel, measured in Power can be negative.

Which unit is used to measure Noise Power of Gaussian Channel?

Noise Power of Gaussian Channel is usually measured using the Picowatt[pW] for Power. Watt[pW], Kilowatt[pW], Milliwatt[pW] are the few other units in which Noise Power of Gaussian Channel can be measured.

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