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Chapter 13 Frequency Analysis

When performing RMS or vector averaging, each new spectral record can be weighted using either linear or exponential weighting.

Linear weighting combines N spectral records with equal weighting. When the number of averages has been completed, the analyzer stops averaging and presents the averaged results.

Exponential weighting emphasizes new spectral data more than old and is a continuous process.

Weighting is applied according to the following equation:

Y

i

=

N----------1--Yi – 1 +

-1-- X

i

 

 

N

N

where Xi is the result of the analysis performed on the ith block, and

Yi is the result of the averaging process from X1 to Xi,

N = i for linear weighting, and

N is a constant for exponential weighting (N = 1 for i = 1).

Single-Channel Measurements—FFT, Power Spectrum

The FFT of a real signal returns a complex output, having a real and an imaginary part. The power in each frequency component represented by the FFT is obtained by squaring the magnitude of that frequency component. Because of this, the power spectrum is always real and all the phase information is lost. If you want phase information, you must use the FFT, which gives you a complex output.

You can use the power spectrum in applications where phase information is not necessary, for example, to calculate the harmonic power in a signal. You can apply a sinusoidal input to a nonlinear system and see the power in the harmonics at the system output.

© National Instruments Corporation

13-9

LabVIEW Measurements Manual

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