Theory

The Wiener-Khinchin Theorem is a fundamental concept in signal processing. It states that the Power Spectral Density (PSD) of a wide-sense-stationary random process is the Fourier transform of its Autocorrelation Function (ACF).

\( S_{xx}(f) = \mathcal{F}\{R_{xx}(\tau)\} \)

This experiment allows you to visually verify this theorem in real-time.

Procedure

• Select a signal type from the dropdown menu.
• Use the sliders that appear to control the signal's parameters, such as frequency and amplitude.
• As you move the sliders, observe how the Signal Waveform, its ACF, and its PSD all change in real-time.
• The Observations panel will provide guiding questions to help you understand the relationship between the plots for each signal type.