Nyquist App vs Stochastic Signal Processing

In this app, you can practice the Nyquist stability criterion. With the Nyquist stability criterion, you can determine the stability of the closed loop based on the frequency response of the open loop, without explicitly calculating the poles of the closed loop. This app was developed at the Institute for Systems Theory and Automatic Control of the University of Stuttgart and accompanies the course "Einführung in die Regelungstechnik" at the University of Stuttgart. Nevertheless, the content and tasks are self-contained, and we encourage all interested in this topic to play with the app and practice the Nyquist stability criterion.

Speech, music, seismic vibrations, oil prices, and climate measurements are all examples of stochastic (random) signals. In this textbook—intended for individuals with prior training in introductory signal processing and introductory probability theory—we develop techniques to process such signals to extract useful information. We present case studies ranging from music to photographic images to oil prices to climate data to the motion of individual biomolecules. This textbook, as an interactive textbook ("iBook"), makes use of your device's ability to display dynamic information through films and animations and to hear the results of the techniques applied to music. At the end of every chapter there are homework problems ranging from easy to "olympic". We make use of your device's interactive capabilities to offer 59 laboratory experiments in signal processing. The experiments use the camera, the microphone, the speakers, and the graphical user interface. These experiments are not simulations; they are examples of real digital processing of signals in your device. In this time of at-home and online learning, this is the way to learn signal processing through study and experimentation.