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13

Frequency Analysis

Frequency analysis is a general-purpose tool used for a wide variety of applications dealing with dynamic signals, including electrical and mechanical engineering, sound and vibration measurements, production testing, and biomedical applications.

Frequency vs. Time Domain

Fourier’s theorem states that any waveform in the time domain can be represented by the weighted sum of sines and cosines. The same waveform can then be represented in the frequency domain as a pair of amplitude and phase values at each component frequency.

You can generate any waveform by adding up sine waves, each with a particular amplitude and phase. Figure 13-1 shows the original waveform, labeled sum, and its component frequencies. The fundamental frequency is shown at the frequency f0, the second harmonic at frequency 2f0, and the third harmonic at frequency 3f0.

Figure 13-1. Signal Formed by Adding Three Frequency Components

© National Instruments Corporation

13-1

LabVIEW Measurements Manual

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