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Fourier analysis can be used to determine an analog signal’s frequency content. Similarly, discrete Fourier transform (DFT) or fast Fourier transform (FFT) techniques can be used to determine the frequency response of discretely sampled analog signals. This section describes an FFT technique for testing analog components in a mixed-signal system.
An ADC can be used to sample an analog signal and produce a quantized version of the signal value at a discrete instant of time. The N-point DFT operation can be used to determine the frequency, or spectral, content of an N-element series of discretely (in-time) sampled signal values. The DFT operation is based on the following equation: