A quantum time-dependent
spectrum analysis, or simply, quantum
spectral analysis (QSA) is presented in this work, and it’s based on Schrödinger’s
equation. In the classicalworld, it is named frequency in time (FIT), which is used here
as a complement of the traditional frequency-dependent spectral analysis based on
Fourier theory. Besides, FIT is a metric which assessesthe impact of the flanksof a signalonits frequency spectrum, not takeninto account byFourier theory and lets alonein real time. Even more, and unlike all derived tools from Fourier Theory
(i.e., continuous, discrete, fast, short-time,
fractional and quantum Fourier Transform, as well as, Gabor) FIT has the following
advantages, among others: 1) compact
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