What is Power Spectral Density (PSD)?
Power Spectral Density also known as PSD is a fundamental concept used in signal processing to measure how the average power or the strength of the signal is distributed across different frequency components. The Average Power referred to here is known as the mean amount of the energy transferred or distributed throughout a given time range.
Mathematically, Power Spectral Density (PSD) sometimes also known as Power Density (PD) denoted here as [Tex]S(\omega)[/Tex] for a signal [Tex]x(t)[/Tex] can be expressed as below:
[Tex]S(\omega) = \lim_{\tau \to \infty} \frac{|X(\omega)|^2}{\tau}[/Tex]
Example with a Diagram
The Power Spectral Density (PSD) plot for a cosine signal [Tex](F = 5K Hz)[/Tex] with a sampling frequency [Tex](f_s)[/Tex] of [Tex]20K[/Tex] samples can be shown as below:
Power Spectral Density
In terms of electronics, Power is defined as the total amount of energy that is getting transferred or converted per unit measurement of time, or in general terms Power is defined as the strength or the intensity level of the signal. Power is generally measured in watts (W).
In this article, we will be going through Power Spectral Density, First we will start our Article with the Definition of Power Spectral Density with an Example, Then we will go through its derivation Properties and Characteristics, At last, we will conclude our Article with Solved Examples, Applications, and Some FAQs.
Table of Content
- Definition
- Derivation
- Characteristics
- Properties
- Solved Problems
- Applications