John Santiago's Page

If and when technical subjects like physics or engineering are to be taught online interactive simulations and experiments must be available to reinforce important concepts.

Here, is one resource that provides fun, interactive, research-based simulations of physical phenomena from the PhET(Physics Education Technology) project at the University of Colorado. This is an ongoing project with over sixty simulations designed to teach physics, ch… Continue

One of many videos on digital signal processing. Initial background is needed to discuss the basics of DSP. Here, we talk about the remarkable mathematical relationship and formula known as Euler's formula.

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This is an introduction to digital signal processing. Here, we begin with an introduction with geometric series and its application to finding the Fourier Transform for discrete-time signals.



More videos will be upcoming as to explain the Fourier Representation. Continue

For those who have kids and have trouble with algebra or to those who just want to sharpen their math skills and help people who find math challenging, here's a resource I found at http://www.algebra.com where there are over 1000 tutors available.

I've used to this resource to help many students. For example, here are over 1200 solutions I've pos… Continue

Here's the first of a series on the z-Transform. Comments are welcomed.

We introduce the z-transform bringing polynomials and rational functions to help analyze linear discrete-time systems. The discrete-time convolution (or FIR convolution) is equivalent to polynomial multiplication and algebraic operations in the z transform domain can be translated as combining or decomposing linear time-invariant (LTI) systems. The most common z-transforms are rational functions, that is, the numerator poly… Continue