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Chapter 13 Frequency Analysis

Dual-Channel Measurements—Frequency Response

When analyzing two simultaneously sampled channels, you usually want to know the differences between the two channels rather than the properties of each.

In a typical dual-channel analyzer, as shown in Figure 13-4, the instantaneous spectrum is computed using a window function and the FFT for each channel. The averaged FFT spectrum, auto power spectrum, and cross power spectrum are computed and used in estimating the frequency response function. You also can use the coherence function to check the validity of the frequency response function.

 

 

Average

Average

 

Ch A

 

Window

Auto

 

Time

FFT

 

Spectrum

 

 

 

 

 

 

 

 

 

Frequency

 

 

 

Average

Response

 

 

 

Function

 

 

 

Cross

 

 

 

 

Spectrum

 

 

 

Average

Average

Coherence

 

 

 

Ch B

 

Window

Auto

 

Time

FFT

 

Spectrum

 

 

 

 

 

Figure 13-4. Dual-Channel Frequency Analysis

The frequency response of a system is described by the magnitude, |H|, and phase, H, at each frequency. The gain of the system is the same as its magnitude and is the ratio of the output magnitude to the input magnitude at each frequency. The phase of the system is the difference of the output phase and input phase at each frequency.

LabVIEW Measurements Manual

13-10

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