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Chapter 11 Introduction to Measurement Analysis in LabVIEW

Magnitude

F1

F2

F3

F4

25 Hz

70 Hz

160 Hz

510 Hz

0

Frequency

 

 

 

ƒs/2=50

ƒs=100

 

500

 

Nyquist Frequency

Sampling Frequency

 

 

Figure 11-5. Actual Signal Frequency Components

In Figure 11-6, we see that frequencies below the Nyquist frequency (fs/2=50 Hz) are sampled correctly. Frequencies above the Nyquist frequency appear as aliases. For example, F1 (25 Hz) appears at the correct frequency, but F2 (70 Hz), F3 (160 Hz), and F4 (510 Hz) have aliases at 30 Hz, 40 Hz, and 10 Hz, respectively. To calculate the alias frequency, use the following equation:

Alias Freq. = ABS (Closest Integer Multiple

of Sampling Freq. – Input Freq.)

where ABS means “the absolute value.” For example,

 

 

 

 

Alias F2 = |100 – 70| = 30 Hz

 

 

 

 

 

Alias F3 = |(2)100 – 160| = 40 Hz

 

 

 

 

 

Alias F4 = |(5)100 – 510| = 10 Hz

 

 

 

 

 

Solid Arrows – Actual Frequency

 

 

Magnitude

 

 

F2 alias

Dashed Arrows – Alias

 

 

 

 

 

 

 

 

 

30 Hz

 

 

 

F4 alias

F1

F3 alias

F2

F3

F4

40 Hz

10 Hz

25 Hz

70 Hz

160 Hz

510 Hz

 

 

Frequency

 

 

 

 

 

0

 

ƒs/2=50

ƒs=100

 

500

 

 

 

Nyquist Frequency

Sampling Frequency

 

 

Figure 11-6. Signal Frequency Components and Aliases

© National Instruments Corporation

11-5

LabVIEW Measurements Manual

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