Power Spectral Density of White Noise Calculator

✖Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency.ⓘ Power Spectral Density of White Noise [P_dw]

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Formula

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Power Spectral Density of White Noise

Formula

`"P"_{"dw"} = "[BoltZ]"*"T"/2`

Example

`"2.5E^-21W/m³"="[BoltZ]"*"363.74K"/2`

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Power Spectral Density of White Noise Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Spectral Density of White Noise = [BoltZ]*Temperature/2
P_dw = [BoltZ]*T/2
This formula uses 1 Constants, 2 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Power Spectral Density of White Noise - (Measured in Watt Per Cubic Meter) - Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Temperature: 363.74 Kelvin --> 363.74 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_dw = [BoltZ]*T/2 --> [BoltZ]*363.74/2

Evaluating ... ...

P_dw = 2.510985463324E-21

STEP 3: Convert Result to Output's Unit

2.510985463324E-21 Watt Per Cubic Meter --> No Conversion Required

FINAL ANSWER

2.510985463324E-21 ≈ 2.5E-21 Watt Per Cubic Meter <-- Power Spectral Density of White Noise

(Calculation completed in 00.004 seconds)

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Credits

Created by Pranav Simha R

BMS College of Engineering (BMSCE), Bangalore,India

Pranav Simha R has created this Calculator and 10+ more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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< 14 Analog Noise and Power Analysis Calculators

SNR for AM Demodulation

Go SNR of AM System = ((Modulation Index^2*Amplitude of Message Signal)/(1+Modulation Index^2*Amplitude of Message Signal))*Signal to Noise Ratio

Mean Square Value of Shot Noise

Go Mean Square Shot Noise Current = sqrt(2*(Total Current+Reverse Saturation Current)*[Charge-e]*Effective Noise Bandwidth)

RMS Thermal Noise Current

Go RMS Thermal Noise Current = sqrt(4*[BoltZ]*Temperature*Conductance*Noise Bandwidth)

RMS Noise Voltage

Go RMS Noise Voltage = sqrt(4*[BoltZ]*Temperature*Noise Bandwidth*Noise Resistance)

Noise Factor

Go Noise Factor = (Signal Power at Input*Noise Power at Output)/(Signal Power at Output*Noise Power at Input)

SNR for PM System

Go SNR of PM System = Phase Deviation Constant^2*Amplitude of Message Signal*Signal to Noise Ratio

SNR for FM System

Go SNR of FM System = 3*Deviation Ratio^2*Amplitude of Message Signal*Signal to Noise Ratio

Power Density Spectrum of Thermal Noise

Go Power Spectral Density of Thermal Noise = 2*[BoltZ]*Temperature*Noise Resistance

Noise Power at Output of Amplifier

Go Noise Power at Output = Noise Power at Input*Noise Factor*Noise Power Gain

Thermal Noise Power

Go Thermal Noise Power = [BoltZ]*Temperature*Noise Bandwidth

Output SNR

Go Signal to Noise Ratio = log10(Signal Power/Noise Power)

Power Spectral Density of White Noise

Go Power Spectral Density of White Noise = [BoltZ]*Temperature/2

Noise Power Gain

Go Noise Power Gain = Signal Power at Output/Signal Power at Input

Equivalent Noise Temperature

Go Temperature = (Noise Factor-1)*Room Temperature

Power Spectral Density of White Noise Formula

Power Spectral Density of White Noise = [BoltZ]*Temperature/2
P_dw = [BoltZ]*T/2

What is the importance of power spectral density?

Power Spectral Density (PSD) is crucial in signal analysis, revealing the distribution of a signal's power across different frequencies. It helps identify dominant frequency components, noise levels, and signal characteristics in various systems. Understanding PSD aids in designing filters, studying signal behavior, and ensuring efficient signal processing in diverse fields like communications, engineering, and science.

How to Calculate Power Spectral Density of White Noise?

Power Spectral Density of White Noise calculator uses Power Spectral Density of White Noise = [BoltZ]*Temperature/2 to calculate the Power Spectral Density of White Noise, Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency. Power Spectral Density of White Noise is denoted by P_dw symbol.

How to calculate Power Spectral Density of White Noise using this online calculator? To use this online calculator for Power Spectral Density of White Noise, enter Temperature (T) and hit the calculate button. Here is how the Power Spectral Density of White Noise calculation can be explained with given input values -> 2.5E-21 = [BoltZ]*363.74/2.

FAQ

What is Power Spectral Density of White Noise?

Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency and is represented as P_dw = [BoltZ]*T/2 or Power Spectral Density of White Noise = [BoltZ]*Temperature/2. Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Power Spectral Density of White Noise?

Power Spectral Density of White Noise is the distribution of energy or power per unit bandwidth as a function of frequency is calculated using Power Spectral Density of White Noise = [BoltZ]*Temperature/2. To calculate Power Spectral Density of White Noise, you need Temperature (T). With our tool, you need to enter the respective value for Temperature 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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