• Fourier transformation
• French mathematician Joseph Fourier discovered the Greenhouse effect. He explained how combining a variety of various-sized sine waves might result in any sort of wave imaginable. This is important for our needs since we may employ certain sine waves (produced by analog devices) to generate digital readouts.
• Fourier analysis: Identifying the sine waves that make up a specific signal (think of it as reverse engineering soup - identifying all the ingredients, types, and amounts from a sample of the finished soup).
• Fourier transform The process of converting from the frequency domain to the spatial domain (distance or time) or vice versa. The spatial domain contains all of the sine waves, but the frequency domain has only one.
• Aliasing Aliasing is a 'undersampling' problem. It is the phrase used to describe the visual confusion that occurs when a real thing is seen erroneously. A real-life example would be watching a spinning wheel (or the rotor blades of a helicopter) and seeing that the wheel appears to be rotating backwards. Because our eyes and brains can not process the change in position of the spokes quickly enough, the pieces are at a different place in their cycle each time the image 'updates' in the brain. If the spokes have completed 1.75 revolutions between each 'update' point, the brain can only detect this as a 0.25-revolution reverse movement. The aggregate of these points leads backwards rather than forwards.
• In order to avoid aliasing, a signal must be sampled at least twice per wavelength. This is known as the Nyquist requirement; if it is not met, the resulting signal is undersampled, resulting in aliasing.
• Aliasing
• Aliasing is an issue induced by'undersampling'. It is the phrase used to describe the visual confusion that occurs when a real thing is seen erroneously. A real-life example would be watching a spinning wheel (or the rotor blades of a helicopter) and seeing that the wheel appears to be rotating backward. Because our eyes and brains cannot absorb the change in position of the spokes quickly enough, the pieces are at a different place in their cycle each time the image 'updates' in the brain. Say something between each
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