sceptrum analysis

advanced spectrum analysis

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Spectrum analysis, FFT computation, is standard fare in communications theory. When the telephone company [Bell] researched speech and formats, they discerned that voice consists principally of a speech-driver, and a resonator amplitude-modulating the driver - with some spectral separation. By first taking the logarithm of the signal, the amplitude modulation is separated additively, though the result tends frequently to cross through negative infinity. [zero-valued instantaneous amplitudes, in the signal domain] They called this, the Cepstrum.

The Sceptrum includes differentiation, which has similar effects of separating the driver and resonator.
Dx f*g x = Df*g + f*Dg

. . .

[under construction]

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