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Noise Power Spectral Density of Gaussian Channel Formula

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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. Check FAQs

P SD = \frac{2 \cdot B}{N o}

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

Noise Power Spectral Density of Gaussian Channel Example

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

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

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

1.2E+10 = \frac{2 \cdot 3.4}{578}

1.2E+10 = \frac{2 \cdot 3.4Hz}{578pW}

1.2E+10 = \frac{2 \cdot 3.4}{578}

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Noise Power Spectral Density of Gaussian Channel Solution

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

FIRST Step Consider the formula

P SD = \frac{2 \cdot B}{N o}

Next Step Substitute values of Variables

∴

P SD = \frac{2 \cdot 3.4Hz}{578pW}

Next Step Convert Units

∴

P SD = \frac{2 \cdot 3.4Hz}{5.8E-10W}

Next Step Prepare to Evaluate

∴

P SD = \frac{2 \cdot 3.4}{5.8E-10}

Next Step Evaluate

∴

P SD = 11764705882.3529

LAST Step Rounding Answer

∴

P SD = 1.2E+10

Noise Power Spectral Density of Gaussian Channel Formula Elements

Variables

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

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

Other formulas in Continuous Channels category

Go Channel Capacity

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

Go Noise Power of Gaussian Channel

N o = 2 \cdot P SD \cdot B

Go Nyquist Rate

N r = 2 \cdot B

Go Information Rate

R = r s \cdot H[S]

How to Evaluate Noise Power Spectral Density of Gaussian Channel?

Noise Power Spectral Density of Gaussian Channel evaluator uses Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel to evaluate the Noise Power Spectral Density, The Noise Power Spectral Density of Gaussian Channel formula is defined as the distribution of the power content of the noise present in the channel over different frequencies. Noise Power Spectral Density is denoted by P_SD symbol.

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

FAQs on Noise Power Spectral Density of Gaussian Channel

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

The formula of Noise Power Spectral Density of Gaussian Channel is expressed as Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel. Here is an example- 1.2E+10 = (2*3.4)/5.78E-10.

How to calculate Noise Power Spectral Density of Gaussian Channel?

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

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