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- W2016872912 abstract "A most efficient way to calculate the probability density for the projection of the sum of n sinusoidal waves with differing amplitudes and phases that are uniform in (0, 2π) is to expand it in a Fourier series. The corresponding series for the envelope of such a series is known to be a Fourier-Bessel series. It is difficult, however, to calculate moments of the envelope from this series. It is shown that by relating the probability density of the envelope to that of the projection one can find moments of the envelope in an easily computable form. It is also possible to calculate an approximate form for the density function for the envelope amplitude near its maximum value. A generalized expansion is developed, valid when the probability density function depends on both angle and radial distance." @default.
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- W2016872912 title "On the probability density of the envelope of a sum of random vectors" @default.
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- W2016872912 doi "https://doi.org/10.1016/0022-460x(85)90371-2" @default.
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