Averaged fft spectrum, Table 2. fft averaging methods and equations – National Instruments NI Spectral Measurements Toolkit User Manual

Page 27

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27

NI Spectral Measurements Toolkit User Guide

emphasis on the most recent data. The averages sofar parameter stops
incrementing at N while the averaging continues.

Linear weighting includes the following modes:

One-shot linear averaging—Average one time for the specified
duration of N measurements. When the duration is over, the averaging
stops.

Auto–restart linear averaging—Automatically repeat the one-shot
linear averaging after every N measurements.

Moving average—Average the most recent N measurements.

Continuous—Average all measurements taken with equal weight.

Averaged FFT Spectrum

The following equations describe the three averaging methods applied to a
complex FFT spectrum.

The RMS and peak-hold averaging methods produce real spectra, and
vector averaging produces a complex spectrum.

All the averaging operations in the Spectral Measurements Toolkit operate
on a complex FFT input spectrum. Create an averaged FFT spectrum using
the SMT Averaged FFT Spectrum VI, located on the Spectrum Averaging
palette.

Table 2. FFT Averaging Methods and Equations

Averaging Method

Equation

Vector averaging

Y

k

= <X>

k

RMS averaging

Peak-hold averaging

Y

k

= max(X

k

, Y

k – 1

)

Y

k

<X conj X

( )>

k

(

)

=

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