Fourier analysis notes

1. What does the Fourier analysis do?
2. What are the different types of Fourier analysis?
3. What is the study of Fourier analysis?
4. What is Fourier analysis equation?

What does the Fourier analysis do?

Fourier analysis is a type of mathematical analysis that attempts to identify patterns or cycles in a time series data set which has already been normalized. In particular, it seeks to simplify complex or noisy data by decomposing it into a series of trigonometric or exponential functions, such as sine waves.

What are the different types of Fourier analysis?

The two types of Fourier series are trigonometric series and exponential series.

What is the study of Fourier analysis?

Fourier analysis is the study of how general functions can be decomposed into trigonometric or exponential functions with definite frequencies.

What is Fourier analysis equation?

The Fourier Transform of a function can be derived as a special case of the Fourier Series when the period, T→∞ (Note: this derivation is performed in more detail elsewhere). Start with the Fourier Series synthesis equation. x(t)=+∞∑n=−∞cnejnωot.