Stochastic Signal Processing vs Calcu

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.

Calcu-Logarithm performs calculations and helps user understand logarithms on advanced level: 1. Solves equation "y = log_a(x)” for “y”, “x”, and “a”, with relevant graphs. 2. Explains and illustrates how to compute log_e (x) from Taylor series. 3. Explains and illustrates how to compute log_10 (x) digit by digit (based on M.Goldberg algorithm). 4. Explains and provides proof of log_e definition as the integral of x inverse. 5. Simplifies logarithmic expressions and solves logarithmic equations with polynomials of up to 20th degree. 6. Includes virtual slide rule for multiplication and division. 7. Calculates, explains, and graphs logarithms of complex numbers. Developers welcome any feedback, please write to us at graphmath@aol.com. Please check out our other Math apps.