Fourier Analysis

  • Whitlow W.L. Au
  • Mardi C. Hastings
Part of the Modern Acoustics and Signal Processing book series (MASP)

The Time and Frequency Domains

Any signal can be represented either in the time domain with its amplitude displayed as a function of time or in the frequency domain with its amplitude displayed as a function of frequency. The time domain representation of a signal is usually referred to as the waveform, or waveshape of the signal. Oscilloscopes are often used to observe the waveforms of signals. The frequency representation of a signal is usually referred to as the frequency spectrum (or just spectrum) of the signal. Spectrum analyzers are often used to observe the spectral characteristics of continuous or long-duration (on the order of several seconds) signals. An example of a 1 v rms, 120 kHz sinusoidal signal observed with an oscilloscope and a sweep frequency spectrum analyzer is shown in Fig. 6.1 . The frequency resolution of the spectrum analyzer used to obtain the display was 1 kHz. The frequency analyzer display in Fig. 6.1is essentially the magnitude of the output of a...


Fast Fourier Transform Fourier Series Discrete Fourier Transform Inverse Fourier Transform Side Lobe 
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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Hawaii Institute of Marine BiologyUniversity of HawaiiKaneoheUSA
  2. 2.Applied Research LaboratoryPenn State UniversityUSA

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