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Encyclopedia > Power spectral density

In physics, the spectral density, or more correctly the power spectral density (PSD) of a given bandwidth of electromagnetic radiation is the total power in this bandwidth divided by the specified bandwidth.


Spectral density is usually expressed in watts per hertz (W/Hz).


There exist both power and energy spectral densities. The energy spectral density is defined as

Note that the total energy in the frequency domain equals the total energy in the time domain:

This is a result of Parseval's theorem.


Practically, for discrete-time signals, the PSD is calculated using the FFT. One example is Welch's method.


See also

External links

  • Power Spectral Density Function (http://documents.wolfram.com/applications/timeseries/UsersGuidetoTimeSeries/1.8.1.html) - from Wolfram Research's "Time Series Documentation"

  Results from FactBites:
 
pcov (Signal Processing Toolbox) (593 words)
The power spectral density is calculated in units of power per radians per sample.
The power spectral density is computed as the distribution of power per unit frequency.
Because the covariance method estimates the spectral density by fitting an AR prediction model of a given order to the signal, first generate a signal from an AR (all-pole) model of a given order.
15 Subpart E (1693 words)
Determination of the emissions bandwidth is based on the use of measurement instrumentation employing a peak detector function with an instrument resolutions bandwidth approximately equal to 1.0 percent of the emission bandwidth of the device under measurement.
The maximum transmit power as measured over an interval of time of at most 30/B or the transmission pulse duration of the device, whichever is less, under all conditions of modulation.
The power spectral density is the total energy output per unit bandwidth from a pulse or sequence of pulses for which the transmit power is at its peak or maximum level, divided by the total duration of the pulses.
  More results at FactBites »


 

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