FFT Basics
The Fourier series states that any waveform that repeats in time can be
represented by a dc term plus a series of cosine and sine waves. The Fourier
series was developed in 1807 by the French mathematician, Jean Baptiste
Fourier, to solve thermodynamics problems. A more general form of the
Fourier series called the Fourier transform was developed later. It allows any
time domain signal, whether it is periodic or single shot, to be transformed
into the frequency domain. The fast Fourier transform (FFT) was developed
as a special algorithm that speeds up the discrete Fourier transform (DFT)
by reducing the large number of calculations that are required by DFTs.
Because an FFT runs 10 to 100 times faster than the traditional DFT, Fourier
transform calculations typically use FFTs in place of DFTs.
Oscilloscopes operate in the time domain and display waveforms with the
vertical axis representing amplitude and the horizontal axis representing
time. Because FFTs are frequency domain functions, the horizontal axis on
the display changes to represent frequency when you select FFTs.
FFT Menu
FFT Basics
21–10
Содержание 54710A
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Страница 16: ...Glossary Index Contents Contents 7 ...
Страница 17: ...Contents 8 ...
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Страница 72: ...Interpolation turned off Interpolation turned on Figure 3 2 Figure 3 3 Acquisition Menu Interpolate 3 7 ...
Страница 86: ...4 Applications ...
Страница 96: ...6 Display 6 4 Scale 6 5 Offset 6 6 Input 6 6 Probe 6 7 Calibrate 6 10 Channel Menu ...
Страница 98: ...Channel menu and menu map for the HP 54712A plug in Figure 6 1 Channel Menu 6 3 ...
Страница 110: ...7 Thresholds 7 4 Top Base 7 6 Define time 7 8 Statistics 7 9 Define Measure Menu ...
Страница 112: ...Define measure menu and menu map Figure 7 2 Define Measure Menu 7 3 ...
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Страница 144: ...9 Persistence 9 3 Color Grade 9 5 Draw waveform 9 6 Graticule 9 10 Label 9 14 Color 9 17 Display Menu ...
Страница 163: ...9 20 ...
Страница 164: ...10 Messages ...
Страница 170: ...11 Off 11 3 Manual 11 3 Waveform 11 5 Measurement 11 7 Marker Hints 11 8 Histogram 11 8 Marker Menu ...
Страница 178: ...12 Function 12 3 Define Function 12 4 Display 12 7 Math Menu ...
Страница 186: ...13 Measurements ...
Страница 199: ...Waveform definitions used to make voltage measurements Figure 13 10 Measurements Voltage Measurements 13 14 ...
Страница 239: ...Response of a Gaussian Filter Versus Frequency Figure 13 26 Measurements Time interval measurements 13 54 ...
Страница 245: ...13 60 ...
Страница 246: ...14 Setup Memory 14 3 Save 14 3 Recall 14 4 Default Setups 14 4 Setup Menu ...
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Страница 274: ...17 Scale 17 3 Position 17 3 Reference 17 4 Windowing 17 5 Time Base Menu ...
Страница 282: ...Trigger menu and menu map Figure 18 1 Trigger Menu 18 3 ...
Страница 319: ...19 18 ...
Страница 322: ...20 Waveform 20 3 Pixel 20 6 Waveform Menu ...
Страница 328: ...21 Display 21 3 Source 21 3 Window 21 3 FFT Scaling 21 4 FFTs and Automatic Measurements 21 8 FFT Basics 21 10 FFT Menu ...
Страница 346: ...Limit test menu and menu map Figure 22 2 Limit Test Menu 22 3 ...
Страница 357: ...22 14 ...
Страница 360: ...Mask menu map Figure 23 1 Mask Menu 23 3 ...
Страница 370: ...Figure 23 3 Figure 23 4 Mask Menu Edit Mask 23 13 ...
Страница 407: ...Index 10 ...
Страница 409: ......