Blog Archives

Intuitive Guide to Fourier Analysis by Charan Langton and Victor Levin

I am working on a book with the imaginative and creative title of “Intuitive Guide to Fourier Analysis”. This is an old topic, but forever confounding in all its myriad forms. The book will have some of my DFT, FFT

Posted in DFT, Digital Communications, Engineering books, Fourier Transform Tutorial

The Little Fruit Market

This blog post is by my friend Rick Lyons. The Little Fruit Market by Richard (Rick) Lyons There used to be a fruit market located at 391 San Antonio Road in Mountain View, California. In the 1990’s I worked part

Posted in Digital Communications, Signal processing, Silicon Valley, Transistors

Beat Notes: An Interesting Observation

This post is by Richard Lyons, the author of the superb book “Understanding Digital Signal Processing” – Charan Langton _________________________ Some weeks ago a friend of mine, a long time radio engineer as well as a piano player, called and

Posted in DFT, Digital Communications, Signal processing

Digital communications tutorial links

I recently changed to this WordPress format for complextoreal.com. Although the functionality is great, the old links which so many schools, colleges had no longer work. The site has fallen off totally from Google, probably because none of the old

Posted in Digital Communications

Folding and Aliasing

Here is an java applet which lets you see the effect of sampling frequency and reconstruction of the signal. The signal is sampled, then goes through a low pass. You will see here what happens when sampling frequency is not

Posted in Digital Communications

Discrete-time Fourier Series and Fourier Transform

I have posted part 3 of the FFT tutorial at complextoreal.com.It starts with the development of discrete signals, their properties, periodicity of discrete signals, finding a set of basis harmonics and then finally the Discrete-time Fourier Transform. The tutorial also

Posted in Digital Communications

Fourier Made easy part 2 – new version uploaded

I have uploaded a new version of the Fourier Made Easy part 2 tutorial. In this version, I have included more examples as well as Matlab code to plot some of the key pictures.  I get requests to include code,

Posted in DFT, Digital Communications, Fourier Transform Tutorial

Video that explains the complex exponential

While writing the second part of the Fourier tutorial, I came across this video which does a great job of explaining the complex exponential, its relationship to sinusoids and hence to the reason why signal processing math is done with

Posted in DFT, Digital Communications, Fourier Transform Tutorial

Fourier tutorial part 1 – updated

I am going through my old material and am updating it. I have just uploaded FFT Part 1 after changing it in many places. http://complextoreal.com/chapters/fft1.pdf If you have comments on this tutorial (any including typos!), please post them here. Charan

Posted in DFT, Digital Communications, Fourier Transform Tutorial

Thanks to The Mathworks

The Mathworks company has just provided me a complementary copy of Matlab out of their “Author” program. So I want to take this space to thank them. For may of the demonstrations in my tutorials on complextoreal.com and where I

Posted in DFT, Digital Communications, Fourier Transform Tutorial
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