Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed
Reexamination Certificate
2005-04-18
2009-06-23
Ngo, Chuong D (Department: 2193)
Electrical computers: arithmetic processing and calculating
Electrical digital calculating computer
Particular function performed
Reexamination Certificate
active
07552154
ABSTRACT:
Method for finding the probability density function type and the variance properties of the noise component N of a raw signal S of a machine or a system, said raw signal S being combined of a pure signal component P and said noise component N, the method comprising: (a) defining a window within said raw signal; (b) recording the raw signal S; (c) numerically differentiating the raw signal S within the range of said window at least a number of times m to obtain an m order differentiated signal; (d) finding a histogram that best fits the m order differentiated signal; (e) finding a probability density function type that fits the distribution of the histogram; (f) determining the variance of the histogram, said histogram variance being essentially the m order variance σ2(m)of the noise component N; and (g) knowing the histogram distribution type, and the m order variance σ2(m)of the histogram, transforming the m order variance σ2(m)to the zero order variance σ2(0), said σ2(0)being the variance of the pdf of the noise component N, and wherein the histogram type as found in step (e) being the probability density function type of the noise component N.
REFERENCES:
patent: 6658261 (2003-12-01), Winters et al.
patent: 6697492 (2004-02-01), Yamaguchi et al.
patent: 6718259 (2004-04-01), Khosla
patent: 6740518 (2004-05-01), Duong et al.
patent: 6744893 (2004-06-01), Fleming-Dahl
patent: 6754293 (2004-06-01), Henriksson et al.
patent: 6829534 (2004-12-01), Fuchs et al.
patent: 6836679 (2004-12-01), Baker, Jr. et al.
patent: 2002/0055913 (2002-05-01), Rajan
Gelb, A., Applied Optimal Estimation, The MIT Press, Cambridge, MA 1974 Chapter 1, pp. 1-7.
Jazwinski, A.H., Stochastic Processes and Filtering Theory, Academic Press, New York, 1970, chapters 1 and 2, pp. 1-13.
R. Chandramouli et al., Computing the Bivariate Gaussian Probability Integral; IEEE Signal Processing Letters; vol. 6, No. 6, Jun. 1999.
Aiazzi, Bruno, “Estimation Based on Entropy Matching for Generalized Gaussian PDF Modeling,” IEEE Signal Processing Letters, vol. 6, No. 6, Jun. 1999, pp. 138-140.
Di Nunno, G., “On Stochastic Derivative,” Pure Mathematics, No. 12, May 2001, pp. 1-13.
Elachi, Charles, “Spaceborne Imaging Radar: Geologic and Oceanographic Applications,” Science, vol. 209, Sep. 5, 1980, pp. 1073-1082.
Faruqi, Farhan A., “Extended Kalman filter synthesis for integrated global positioning/inertial navigation systems,” Applied Mathematics and Computation, 115, 2000, pp. 213-227.
Grewal, Mohinder S. and Andrews, Angus P., “Kalman Filtering: Theory and Practice Using Matlab,” Prentice Hall, 1993.
Heald, J.P.M. and Stark, J., “Estimation of Noise Levels for Models of Chaotic Dynamical Systems,” Physical Review Letters, vol. 84, No. 11, Mar. 13, 2000, pp. 2366-2369.
Kleinert, Hagen and Shabanov, Sergei V., “Supersymmetry in stochastic processes with higher-order time derivatives,” Physics Letters, A, 235, 1997, pp. 105-112.
Kay, Steven, “Model-Based Probability Density Function Estimation,” IEEE Signal Processing Letters, vol. 5, No. 12, Dec. 1998, pp. 318, 320.
Tribelsky, Michael I., “General Exact Solution to the Problem of the Probability Density for Sums of Random Variables,” Physical Review Letters, vol. 89, No. 7, Aug. 12, 2002, pp. 070201-1-070201-4.
Kontorovich, Valerii, Lyandres, Vladimir, and Primak, Sergey, “The Generation of Diffusion Markovian Processes with Probability Density Function Defined on Part of the Real Axis,” IEEE Signal Processing Letters, vol. 3, No. 1, Jan. 1, 1996, pp. 19-21.
Wiener, Norbert, “Differential-Space,” Journal of Mathematical and Physical Sciences, 2, 1932, pp. 131-173.
Karkuszewski, Zbyszek P., Jarzynski, Christopher and Wojciech, Zurek H., “Quantum Chaotic Environments, the Butterfly Effect, and Decoherence,” Physical Review Letters, vol. 89, No. 17, Oct. 21, 2002, pp. 170405-1-170405-4.
Dorogovtsev, A.A., “Stochastic Analysis and Random Maps in Hilbert Space,” VSP, Urtrecht, The Netherlands, 1994.
Dorsey & Whitney LLP
Ngo Chuong D
LandOfFree
System and method for statistically separating and... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with System and method for statistically separating and..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and System and method for statistically separating and... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-4083410