ELI5: Explain Like I'm 5

Wavelet series

Wavelet series is like a magic trick that helps you understand complicated signals. Imagine you have a song but it's too long and you want to see different parts of it more clearly. Wavelet series is the magic trick that helps you cut the song into smaller pieces (or "waves") and see each part more clearly.

So, let's say you have a song that's 10 seconds long. With wavelet series, you can cut the song into tiny waves, which will be 1 second long each. Then, you can analyze each wave separately to see different patterns and features of the song. This will help you understand the song better.

Wavelet series works by using special mathematical functions (called "wavelets") to cut the signal into waves. These wavelets are like scissors that cut the signal into pieces. Each wavelet has a different size and shape, so it can cut the signal in a different way.

Once you have the waves, you can use them to create a wavelet series. This series is like a puzzle with all the waves placed in order. By looking at the puzzle (or series), you can see the whole picture (or signal).

Overall, wavelet series is a cool way to analyze and understand complicated signals. It uses math and magic to cut the signal into pieces and show you the patterns and features hidden inside.