#cheatsheet #signal #frequency #domain #time #mathematic Created at 160723 # [Anonymous feedback](https://www.admonymous.co/louis030195) # [[Epistemic status]] #shower-thought Last modified date: 160723 Commit: 0 # Related # Wavelets - Transforms - Domains | Name | Definition | Analogy | |---------------------|-----------------------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------------------------------------------------| | Wave | A disturbance that transfers energy from place to place. | Like the ripples in a pond after a stone is thrown. | | Wavelet | A wave-like oscillation that begins at zero, increases, and then decreases back to zero. | A wave that is here for a short time and then disappears. | | Wavelet Transform | A mathematical process that breaks down a signal into its constituent parts using wavelets. | A special magnifying glass that not only shows you what's in the data (like the high and low notes) but also when those things happen. | | Time Domain | A representation of a signal that shows how it changes over time. | Watching a movie from start to finish, where you see and hear things as they happen over time. | | Frequency Domain | A representation of a signal that shows all the different frequencies that make up the signal. | Looking at a movie poster, where it doesn't show you what happens when, but it shows you everything that's in the movie. | | Fourier Transform | A mathematical process that breaks down a signal into a set of simple sine waves of different frequencies. | A machine that can tell you exactly what instruments are in an orchestra and how loudly each one is playing, or what fruits were used to make a smoothie. |