Abstract
This is an embedded tutorial. It consists of two sections. The first section reviews several basic background topics for understanding the practical application examples presented in the second section. Most mixed signal tests employ the FFT-based processing. Firstly the relationship of the sampled waveform and the frequency spectrum is discussed by reviewing the DFT and IDFT equations. In the second section, there are three practical application examples presented. The first example is the trend removal. The second example reduces noise on small signals measured by a passive resistive probe in the TDR experiments. The third example demonstrates the planning procedure of wideband signal under-sampling.

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