The Fourier transform usually transforms a mathematical function of time, f(t), into a new function usually denoted by F() whose arguments is frequency with units of cycles/sec (hertz) or radians per second. This new function is known as the Fourier transform. The Fourier transform is a mathematical transformation used within many applications in physics and engineering. The term "Fourier transform" refers to both the transform operation and to the complex-valued function it produces.
Triangular functions are useful in signal processing as a representation of ideal signals.
The Fourier transform of f(t) = is:
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where:
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hertz
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constant
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imaginary
number
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triangular function
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sinc function
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