energy density spectrum

(Sometimes called energy spectrum.) The square of the amplitude of the (complex) Fourier transform of an aperiodic function. Thus, if f(t) is the given function, its Fourier transform is

ams2001glos-Ee21

and the energy density spectrum is ams2001glos-Eex03. It is assumed that the total energy ams2001glos-Eex04 is finite.