Wavelets 4 Dummies: Signal Processing, Fourier Transforms and Heisenberg

Wavelets have recently migrated from Maths to Engineering, with Information Engineers starting to explore the potential of this field in signal processing, data compression and noise reduction. What’s interesting about wavelets is that they are starting to undermine a staple mathematical technique in Engineering: the Fourier Transform. In doing this they are opening up a new way to make sense of signals, which is the bread and butter of Information Engineering. Continue reading

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What are Fractals and why should I care?

Fractal geometry is a field of maths born in the 1970’s and mainly¬†developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture below. It’s called the Mandelbrot Set and is an example of a fractal shape.

mandelbrot

The geometry that you learnt in school was about how to make shapes; fractal geometry is no different. While the shapes that you learnt in classical geometry¬†were ‘smooth’, such as a circle or a triangle, the shapes that come out of fractal geometry are ‘rough’ and infinitely complex. However fractal geometry is still about making shapes, measuring shapes and defining shapes, just like school.

There are two reasons why you should care about fractal geometry: Continue reading