Name: コーディングチャレンジ #125フーリエ級数 (Coding Challenge #125: Fourier Series)
Uploaded: 2021-01-14T10:18:08.000Z
Duration: 28 min 47 s
Description: VoiceTubeの動画で発音を聞きながら英語表現を覚えよう！学べる英語：

命令形

- Hello, welcome to a coding challenge, Fourier series.

未来形

So what I am going to program in JavaScript

This is what's known as a Fourier series.

It is a series of wave patterns that when summed up together

So first of all, I'm going to show you some resources,

the things that got me thinking about this topic

and wanting to make this coding challenge.

stop this video and go look at these other resources,

and then you could come back, if you wanted,

or maybe you're just off doing something else.

What is a Fourier Series? Explained by drawing circles.

what is the Fourier Transform? A visual introduction.

You probably, if you've done any coding and programming,

you've probably heard these terms before,

It's usually referenced in the context of analyzing sound.

video was a collaboration worked with a Turkish

I'm not going to attempt to pronounce it,

I encourage you to check out and read this whole article,

of wave patterns visualized as a path along a circle,

And if we can make this happen in JavaScript,

in theory, is no reason why we couldn't then figure out

And there's a sort of a well-known GIF or video

of this like crazy set of circles drawing Homer Simpson.

But this video, I just want to, by the end of this video,

reference this website, betterexplained.com,

which has a nice article, An Interactive Guide

this, I think, is a really excellent explanation.

So again (laughs), going to get started coding in a second,

but you're just going to have to humor me

to let me kind of talk about this a little bit more

So the idea of a Fourier transform, so a sound wave, right?

on the board or in code in countless videos,

And I could think of that as like the time it takes

for this dot to go all the way around the circle.

how many cycles of the wave per unit of time,

Amplitude is the height (laughs) of the sine wave,

how much distance between the very top and the very bottom.

And so a sound can be represented as a sine wave.

oh, I've got this recording device soundy thingy

and what it's doing is it's like (vocalizing),

This is the wave, this is the representation

of the sound that I'm listening to right now.

Well, you can create, this kind of wave pattern

is typically actually the sum of multiple wave patterns.

So in other words, if this is like the musical note a,

and then this is like the musical note something else,

and we're to add these two waves together,

You know, I might get something that looks like this, right?

an additive wave video in the Nature of Code series

The idea of the Fourier transform is can we go,

I could add them together and get this pattern.

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コーディングチャレンジ #125フーリエ級数 (Coding Challenge #125: Fourier Series)

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