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Fourier Transform: Difference between revisions
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The Fourier Transform is a tool that breaks a waveform (a function or signal) into an alternate representation, characterized by sine and co-sines. The Fourier Transform shows that any waveform can be re-written in the sum of sine wave functions.The sine wave or sinusoid is a mathematical | The Fourier Transform is a tool that breaks a waveform (a function or signal) into an alternate representation, characterized by sine and co-sines. The Fourier Transform shows that any waveform can be re-written in the sum of sine wave functions.The sine wave or sinusoid is a mathematical curve that describes a smooth repetitive oscillation. | ||
Virtually everything in the world can be described via a waveform - a function of time, space or some other variable. For instance, sound waves, electromagnetic fields, the elevation of a hill versus location, a plot of VSWR versus frequency, the price of your favorite stock versus time, etc. The Fourier Transform gives us a unique and powerful way of viewing these waveforms. | Virtually everything in the world can be described via a waveform - a function of time, space or some other variable. For instance, sound waves, electromagnetic fields, the elevation of a hill versus location, a plot of VSWR versus frequency, the price of your favorite stock versus time, etc. The Fourier Transform gives us a unique and powerful way of viewing these waveforms. | ||