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The first ten peaks in amplitude ($P=10$) are thus indexed by $\sigma(1),\ldots,\sigma(P)$, such that: $$S(f_{\sigma(1)})\ge S(f_{\sigma(2)}) \cdots \ge S(f_{\sigma(P)}) \ge \cdots \ge S(f_{\sigma(K) …

Estimating the power of a sum of signals depends on coherence or incoherence assumptions. Details are given for instance on incoherent signal summing or coherent signal summing. Those can provide an e …

I would add to the notion of discreteness that the discrete symbols encoding the data or signal should also be finite, or taking a limited number of values in some set called symbol dictionary or alph …

Not really, as the transform is real. However, one could interpret the sign as a poor man's phase, being "quantized" or restricted to values $0$ or $\pi$. In other words, $1 = 1.e^{0.\imath}$ and $-1 …

YOu can use SeisLab, which apparently has an option for that: 0,6.1,'s_ghost_response','Apply effect of source/receiver ghost on seismic dataset';