Things that you take for granted

Stuart Woolley News & Updates

Whilst working on modelling situations in the real world, or thinking about to how tackle a specific problem, it’s often surprising how many things I take for granted. Sometimes it’s worthwhile to consider how seemingly obvious, or ‘given’ information, is actually derived. The derivation process itself can often shed light and offer further intuition into much harder and/or complex problems. …

Numbers

Stuart Woolley News & Updates

The Fourier transform is one of the most used and widespread applications of mathematics in electronic engineering, decomposing a signal into its constituent sine waves. It has applications in an enormous number of areas in everything from understanding electrical oscillations in alternating current to the modulation of electromagnetic waves. Engineering just wouldn’t be the same without it. But, don’t worry, …

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Approximating Pi

Stuart Woolley News & Updates

Imagine you’re stranded on a desert island and you really need to find a good approximation of π for some super machine that you’re building to make your escape. Perhaps it’s AC powered from a tidal source or wind generator and there are a couple of phase angle calculations you need to make for the flux capacitor to power up? …

Energy Usage Related Signals

Stuart Woolley News & Updates

The power spectrum of a signal is a fascinating way of digging deeper into understanding complex systems. If you recall your basic physics, a power spectrum shows how the power of a signal is distributed over its frequency range. I have a long standing interest in chaotic systems and fractals and came across a fascinating paper from 1975 by Voss …