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What is the Relationship between Data Length, Frequency Resolution, and Time Waveform Display Length?


The relationship between data length (number of sampling points), frequency range, frequency resolution, and time waveform display length is shown in Tables 1 - 3.

Data length Table1
16384, 8192, 4096points
Table 2
2048, 1024points
Table 3
512, 256, 128points

The CF and DS Series FFTs handle 2n sampling patterns as one data group. The FFT analyzer display screen therefore shows a fixed number of points. For example, with time axis waveforms, 2048 ‘sampling point data’ is displayed.

With the power spectrum display, the data corresponding to ‘the number of lines’ is displayed from 0Hz to the frequency range.

With FFT analyzers, ‘frequency range’ and ‘the number of sampling points’ are set, and ‘frequency resolution’ and the number of lines (the reciprocal of frequency resolution) are determined from frequency range and the number of sampling points. With the power spectrum, the power spectrum corresponding to the number of the lines is displayed for each frequency resolution step. This relationship is found with the following equations.

(2002.06.17)

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