Stochastic Signal Processing vs German Phrase Practice

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.

German Phrase Practice is an independent study app for building useful German phrase recall through focused practice questions and explanations. Each question includes an explanation so you can review at your own pace. The app organizes content across Fundamentals, Practical Skills, Common Pitfalls, and Advanced Concepts, and supports short sessions or longer review blocks before travel, class, or self-study. The app works offline and requires no login or account. There are no subscriptions and no in-app purchases. Independent study app. Not affiliated with, endorsed by, or sponsored by any company, certification body, exam operator, or vendor. All trademarks belong to their respective owners.