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
PSD = (2*B)/No
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
PSD = (2*B)/No --> (2*3.4)/5.78E-10
Evaluating ... ...
PSD = 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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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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Chandigarh University (CU), Punjab
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Continuous Channels Calculators

Channel Capacity
​ LaTeX ​ Go Channel Capacity = Channel Bandwidth*log2(1+Signal to Noise Ratio)
Noise Power of Gaussian Channel
​ LaTeX ​ Go Noise Power of Gaussian Channel = 2*Noise Power Spectral Density*Channel Bandwidth
Information Rate
​ LaTeX ​ Go Information Rate = Symbol Rate*Entropy
Nyquist Rate
​ LaTeX ​ Go Nyquist Rate = 2*Channel Bandwidth

Noise Power Spectral Density of Gaussian Channel Formula

​LaTeX ​Go
Noise Power Spectral Density = (2*Channel Bandwidth)/Noise Power of Gaussian Channel
PSD = (2*B)/No

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 PSD 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 (No) 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 PSD = (2*B)/No 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 (No). 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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