Stochastic Signal Processing vs Earth Tide

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.

Right now, the ground beneath your feet is rising and falling by tens of centimeters — and you can't feel a thing. Twice a day, gravity from the Moon and Sun stretches the entire solid Earth into a slow, planet-sized bulge. Earth Tide makes that invisible motion visible, in real time, anywhere on the planet. WHAT YOU CAN DO • Tide Chart — Watch vertical ground displacement in millimeters. Pan, zoom, and scrub through time to pinpoint exact peaks and troughs over hours, days, or weeks. • Tidal Compass — A live overlay shows where the Moon and Sun are pulling the ground right now. Switch to AR mode and point your camera at the sky to see the forces around you. • 3D Globe — Spin a rotatable, color-coded Earth and watch the tidal bulge sweep across continents and coastlines. • Anywhere on Earth — Use your current location or search any place in the world. SERIOUS SCIENCE, MADE SIMPLE Earth Tide is powered by the modern Yang et al. (2024) rotational-ellipsoid model, with published accuracy several times higher than the legacy method most tools rely on. The Moon does roughly 70% of the work; the Sun the other 30%. Whether you're a student, scientist, surveyor, or simply curious, you're seeing real geophysics.