- #1
skaboy607
- 108
- 0
Can anyone explain the above-i've read about in books, internet sites and still do not understand what its doing or the maths.
Thanks
Thanks
A Fourier Transformation is a mathematical tool used to break down a complex signal into its individual frequency components. It converts a signal from its original time domain to a frequency domain, making it easier to analyze and process.
Fourier Transformations have numerous applications in various fields, including signal processing, image processing, data compression, and solving differential equations. They are also used in music and audio analysis, medical imaging, and telecommunications.
A Fourier Transformation works by breaking down a complex signal into simpler sinusoidal components of different frequencies. It uses a mathematical formula to calculate the amplitude and phase of each component, which are then used to reconstruct the original signal.
While both Fourier Transformation and Fourier Series are used to analyze signals, they differ in the type of signals they can handle. Fourier Series is used for periodic signals, while Fourier Transformations can handle both periodic and non-periodic signals. Additionally, Fourier Series decomposes a signal into a sum of discrete frequency components, while Fourier Transformations decompose a signal into a continuous spectrum of frequencies.
One common misconception about Fourier Transformations is that they can only be applied to signals with a finite duration. In reality, they can be applied to both finite and infinite signals. Another misconception is that Fourier Transformations can only be calculated using complex numbers, while in fact, they can also be calculated using real numbers.