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A unitary linear operator which resolves a function on $\mathbb{R}^N$ into a linear superposition of "plane wave functions". Most often used in physics for calculating the response of a time shift invariant linear system as the sum of its response to time harmonic excitation or for transforming a quantum state in position co-ordinates into one in momentum co-ordinates and contrawise. There is also a discrete, fast Fourier transform for discretised data.

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FFT plot not aligning with lower natural frequencies

I have a cantilever beam with gapped springs on top and bottom and an impulse is given at the free end initially. I modelled it using finite element method with 30 elements. The beam then oscillates …