4 Windowing
About Spectral Leakage and Smoothing Windows
In practical applications, you can obtain only a finite number of samples of the signal. When you use the DFT/FFT to find the frequency content of a signal, it is inherently assumed that the data that you have is a single period of a periodically repeating waveform. This is shown in Figure 4-1. The first period shown is the one sampled. The waveform corresponding to this period is then repeated in time to produce the periodic waveform.
Figure 4–1Periodic waveform created from sampled period
As seen in the figure, because of the assumption of periodicity of the waveform, discontinuities ...
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