Noise Power Spectral Density of Gaussian Channel Calculator

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✖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]			+10% -10%

✖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 of Gaussian Channel [P_SD]

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Noise Power Spectral Density of Gaussian Channel

Formula

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

Example

`"1.2E^10"=(2*"3.4Hz")/"578pW"`

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Noise Power Spectral Density of Gaussian Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Channel Bandwidth: 3.4 Hertz --> 3.4 Hertz No Conversion Required
Noise Power of Gaussian Channel: 578 Picowatt --> 5.78E-10 Watt (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_SD = (2*B)/N_o --> (2*3.4)/5.78E-10

Evaluating ... ...

P_SD = 11764705882.3529

STEP 3: Convert Result to Output's Unit

11764705882.3529 --> No Conversion Required

FINAL ANSWER

11764705882.3529 ≈ 1.2E+10 <-- Noise Power Spectral Density

(Calculation completed in 00.004 seconds)

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Credits

Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has created this Calculator and 50+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

< 10+ Continuous Channels Calculators

Channel Capacity

Go Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)

Noise Power Spectral Density of Gaussian Channel

Go Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel

Noise Power of Gaussian Channel

Go Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth

Amount of Information

Go Amount of Information = log2(1/Probability of Occurrence)

Data Transfer

Go Data Transfer = (File Size*8)/Transfer Speed

Nth Extension Entropy

Go Nth Extension Entropy = Nth Source*Entropy

Information Rate

Go Information Rate = Symbol Rate*Entropy

Symbol Rate

Go Symbol Rate = Information Rate/Entropy

Maximum Entropy

Go Maximum Entropy = log2(Total Symbol)

Nyquist Rate

Go Nyquist Rate = 2*Channel Bandwidth

Noise Power Spectral Density of Gaussian Channel Formula

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

What is power spectral density of Gaussian noise?

The power spectral density (PSD) of additive white Gaussian noise (AWGN) is N02 while the autocorrelation is N02δ(τ), so variance is infinite? noise.

How to Calculate Noise Power Spectral Density of Gaussian Channel?

Noise Power Spectral Density of Gaussian Channel calculator uses Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel to calculate 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 calculate Noise Power Spectral Density of Gaussian Channel using this online calculator? To use this online calculator for Noise Power Spectral Density of Gaussian Channel, enter Channel Bandwidth (B) & Noise Power of Gaussian Channel (N_o) and hit the calculate button. Here is how the Noise Power Spectral Density of Gaussian Channel calculation can be explained with given input values -> 1.2E+10 = (2*3.4)/5.78E-10.

FAQ

What is Noise Power Spectral Density of Gaussian Channel?

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 and is represented as P_SD = (2*B)/N_o or Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel. Channel bandwidth refers to the range of frequencies that can be used to transmit information through a communication 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.

How to calculate Noise Power Spectral Density of Gaussian Channel?

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 is calculated using Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel. To calculate Noise Power Spectral Density of Gaussian Channel, you need Channel Bandwidth (B) & Noise Power of Gaussian Channel (N_o). With our tool, you need to enter the respective value for Channel Bandwidth & Noise Power of Gaussian Channel 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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