Method for representing a combination of signals with a...

Data processing: measuring – calibrating – or testing – Measurement system – Measured signal processing

Reexamination Certificate

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Reexamination Certificate

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11203440

ABSTRACT:
A method analyzes a set of signal acquired from a physical system. A set of parameters characterizing the set of signals is measured. The parameters can include the mean and the variance of the power of the signal, and a Rician factor. A first point and a second point of a moment generating function for a combination of the set of signals are evaluated according to the set of parameters to obtain a first sample and a second sample, respectively. First and second equations are defined. The equations respectively have an approximation of a moment generation function of a lognormal random variable representing the combination of the set of signals, at the first point and the second point, on the left side, and the first and second sample on the right side. The two equations are solved to obtain a mean and a variance of the lognormal random variable representing a distribution of the combination of the set of the signals.

REFERENCES:
patent: 7013255 (2006-03-01), Smith, II
patent: 2004/0236560 (2004-11-01), Chen
H. Liu, “Error performance of a pulse amplitude and position modulated ultra-wideband system over lognormal fading channels,”IEEE Commun. Lett., vol. 7, pp. 531-533, 2003.
N. C. Beaulieu and Q. Xie, “An optimal lognormal approximation to lognormal sum distributions,”IEEE Trans. Veh. Technol., vol. 53, pp. 479-489, 2004.
S. B. Slimane, “Bounds on the distribution of a sum of independent lognormal random variables,”IEEE Trans. Commun., vol. 49, pp. 975-978, 2001.
F. Berggren and S. Slimane, “A simple bound on the outage probability with lognormally distributed interferers,”IEEE Commun. Lett., vol. 8, pp. 271-273, 2004.
H. R. Anderson, “Signal-to-interference ratio statistics for am broadcast groundwave and skywave signals in the presence of multiple skywave interferers,”IEEE Trans. Broadcasting, vol. 34, pp. 323-330, 1988.

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