## 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

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,

## 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

## 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

## 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

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