In coming to this new format, I had to leave behind the board which has over 2000 members. There were quite a lot of people on it and I am sorry that it will not be accessible any more. However,…

Complex technology made real • Complex communications technology made easy
Complex To Real

In coming to this new format, I had to leave behind the board which has over 2000 members. There were quite a lot of people on it and I am sorry that it will not be accessible any more. However,…

Posted in DFT

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

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,…

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…

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…

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…

I have posted the final (nearly so) version of my MIMO tutorial. www.complextoreal.com It took a while. In the writing of this paper, I relied heavily on a few books and papers. The three books I often found myself thumbing…

Posted in MIMO tutorial

I have post a completed version of the MIMO tutorial on complextoreal.com.

I have posted part one of the MIMO tutorial. The first part is mostly concentrated on the capacity issues. You may think why even worry about capacity; We don’t seem to worry about the capacity of the traditional SISO links.…

MIMO I have been trying to write a section on MIMO for a while. Wow what a difficult subject this is to tackle. There are so many issues, despite having read nearly every book on the topic, I still can…