The power spectral density function counts inaccurate amplitude caused by the window function?

I'm new to this forum, so please let me know if this would correspond better to a different discussion forum.

Here's the question:

I would like to know if the power spectral density function ("FFT PSD for 1 Channel.vi") automatically compensates for the loss of the amplitude of entry caused by the window function.  In other words, is a specific window correction factor applied within the PSD vi or do I apply manually?

Details of the background:

I tried to answer the question myself by generating a sine wave sampling, it as it is periodic in record time (i.e. 0 to each end of recording time).  The frequency of the sine wave was such that the frequency would exactly correspond to a spectral line in the PSD.  Then I generated the PSD of the sine wave twice: once using a Hanning window and once using a rectangular window (not on average in both cases).  The rectangular extent of the PSD with windows to the frequency of the sine wave is 1.5 times the size of the PSD with a Hanning window applied.

The experience above indicated to me that a manual setting of the PSD output for the function of window was necessary, however, I repeated the above experiment using random vibration data and does not clear 1.5 x factor.  I have also been informed by his colleagues that the PSD should set for the window function.

Thank you for your comments.

Spectral leakage.  When you use a finished sample data from the spectrum resulting is the convolution of the spectrum of the signal as if it extended indefinitely in time with the spectrum of the window.  Even if you do not use a window function, you actually have a rectangular window the same width as the sample size.

Draw out of the VI PSD with all style of trace to show points to the data points. Turn off Auto scale on the X axis, and expand the graph around your pic. Look at the results of different windows.  In any case, there are several values non-null.  With actual sampled data of limited duration, you will never get the idealized line spectrum.

If summarize you the output spectral value remains close to 3.2 for all windows.

Lynn

Tags: NI Software

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