Fourier Transforms Equation Formula Latex Code and Summary

Fourier Transforms

Tags: #math #fourier transforms

Equation

$$y(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{y}(\omega) e^{i\omega t} \mathrm{d} \omega \\ \hat{y}(\omega)=\int_{-\infty}^{\infty} y(t) e^{-i\omega t} \mathrm{d} t$$

Latex Code

                                 y(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{y}(\omega) e^{i\omega t} \mathrm{d} \omega \\ \hat{y}(\omega)=\int_{-\infty}^{\infty} y(t) e^{-i\omega t} \mathrm{d} t

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Introduction

$y(t)=\frac{1}{2\pi}\int_{-\infty}^{\infty} \hat{y}(\omega) e^{i\omega t} \mathrm{d} \omega \\ \hat{y}(\omega)=\int_{-\infty}^{\infty} y(t) e^{-i\omega t} \mathrm{d} t$

If y(x) is a function defined in the range $x \in [-\infty,\infty]$ , then the fourier transform $\hat{y}(\omega)$ is defined as above.

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Joel Harvey

Fingers crossed for passing this exam!

2023-12-10 00:00
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Gooood Luck, Man!

2024-01-03 00:00:00.0
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Kelly Cook

Nothing else matters but passing this exam.

2023-04-28 00:00
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Roy Butler reply to Kelly Cook

Nice~

2023-05-09 00:00:00.0
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Hugo Chandler

Here's to passing this test, let's make it happen!

2024-04-14 00:00
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William Garcia reply to Hugo Chandler

Nice~

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