Fourier Transform Amplitudes Visualization - Signal Analysis Example #112390 (License: Personal Use)

The top panel shows a periodic red waveform over time (2.18 to 3.7 units), plotted on a light blue grid, representing a reconstructed signal from harmonic components. The bottom panel presents the discrete Fourier amplitudes C(n) as vertical bars against a yellow background, where significant energy appears at n=1, 4, and 8, indicating dominant frequencies. The mathematical expression F(t) = Σ C(n) cos(n·t - φ(n)) confirms the synthesis of the signal from cosine terms with amplitude C(n) and phase φ(n).

Used in educational materials, signal processing tutorials, or academic papers to explain spectral decomposition; targets students, engineers, or researchers seeking intuitive understanding of Fourier analysis.