Smoothies and Sinusoids: Why Fourier Analysis is a Great Tool for Tropical Phenology

Post provided by Emma R. Bush and Nils Bunnefeld

What is Fourier Analysis?

Strictly speaking, Fourier analysis is the decomposition of any mathematical function into a series of sine and cosine waves (sinusoids). But let’s not talk about maths – how about food instead?

The Fourier transform is like a special set of sieves that helps you find out all the ingredients in your favourite smoothie ©VICUSCHKA/Shutterstock.com

The Fourier transform is like a special set of sieves that helps you find out all the ingredients in your favourite smoothie ©VICUSCHKA/Shutterstock.com

Imagine you’ve just bought a delicious smoothie from your local café. You like the smoothie so much that you want to know the recipe so that you can make it again at home whenever you want. You’re too shy to ask at the café, so you pour the smoothie through a series of special sieves that separate out each of the ingredients and you write down the recipe – 100ml orange juice, 50ml mango juice, 50ml banana purée and a handful of hipster kale (we haven’t tried this recipe, but we’re sure it would be lovely). You’re quite keen to keep drinking the smoothie, so you mix all the separated ingredients back together again, and the smoothie is just as delicious as before. Continue reading