-
1
-
-
23944491822
-
Measure Theory and Filtering. Introduction and Applications
-
ISBN: 0-521-83803-7. Cambridge University Press, Cambridge
-
Aggoun, L., R.J. Elliott. Measure Theory and Filtering. Introduction and Applications. Cambridge Series in Statistical and Probabilistic Mathematics, volume 15, x+258 pp. ISBN: 0-521-83803-7. Cambridge University Press, Cambridge, 2004.
-
(2004)
Cambridge Series in Statistical and Probabilistic Mathematics
, vol.15
-
-
Aggoun, L.1
Elliott, R.J.2
-
2
-
-
0037210328
-
Phase tracking: What do we gain from optimality? particle filtering versus phase-locked loops
-
Amblard, P.O., J.M. Brossier and E. Moisan. Phase tracking: what do we gain from optimality? particle filtering versus phase-locked loops. Signal Process., 83:151–167, 2003.
-
(2003)
Signal Process
, vol.83
, pp. 151-167
-
-
Amblard, P.O.1
Brossier, J.M.2
Moisan, E.3
-
3
-
-
0036475447
-
A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking
-
Arulampalam, M.S., S. Maskell, N. Gordon and T. Clapp. A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Trans. Signal Processing, 50:174–188, 2002.
-
(2002)
IEEE Trans. Signal Processing
, vol.50
, pp. 174-188
-
-
Arulampalam, M.S.1
Maskell, S.2
Gordon, N.3
Clapp, T.4
-
4
-
-
3142772649
-
An escape time criterion for queueing networks: Asymptotic risk-sensitive control via differential games
-
Atar, R, P. Dupuis, and A. Shwartz. An escape time criterion for queueing networks: Asymptotic risk-sensitive control via differential games. Math. Op. Res., 28:801–835, 2003.
-
(2003)
Math. Op. Res.
, vol.28
, pp. 801-835
-
-
Atar, R.1
Dupuis, P.2
Shwartz, A.3
-
5
-
-
85068164475
-
-
Technical Report LIDS-IR-1081, Laboratory for Information and Decision Systems MIT, Cambridge, Massachusetts
-
Athans, M., S.K. Mitter and L. Valavani. An interim report of research on stochastic and adaptive systems. Technical Report LIDS-IR-1081, Laboratory for Information and Decision Systems MIT, Cambridge, Massachusetts, 1981.
-
(1981)
An Interim Report of Research on Stochastic and Adaptive Systems
-
-
Athans, M.1
Mitter, S.K.2
Valavani, L.3
-
6
-
-
85068174565
-
-
volume, ISBN: 978-0-8176-4301-0; 0-8176-4301-X. Springer, NY
-
Bain, A., D. Crisan. Fundamentals of Stochastic Filtering. Stochastic Modelling and Applied Probability, volume 60, xiv+723 pp. ISBN: 978-0-8176-4301-0; 0-8176-4301-X. Springer, NY, 2009.
-
(2009)
Fundamentals of Stochastic Filtering. Stochastic Modelling and Applied Probability
, vol.60
-
-
Bain, A.1
Crisan, D.2
-
7
-
-
65549117499
-
Universal nonlinear filtering using Feynman path integrals ii: The continuous-continuous model with additive noise
-
Balaji, B. Universal nonlinear filtering using Feynman path integrals ii: the continuous-continuous model with additive noise. PMC Physics A, 3:1–28, 2009.
-
(2009)
PMC Physics A
, vol.3
, pp. 1-28
-
-
Balaji, B.1
-
9
-
-
84938156620
-
A statistical model of flicker noise
-
Barnes, J.A. and D.W. Allan. A statistical model of flicker noise. Proc. IEEE, 54:176–178, 1966.
-
(1966)
Proc. IEEE
, vol.54
, pp. 176-178
-
-
Barnes, J.A.1
Allan, D.W.2
-
11
-
-
52949096083
-
-
volume 380, xxiv+206 pp. ISBN: 978-3-540-70802-5. Springer-Verlag Lecture Notes in Control and Information Sciences, Berlin
-
Basin, M. New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems, volume 380, xxiv+206 pp. ISBN: 978-3-540-70802-5. Springer-Verlag Lecture Notes in Control and Information Sciences, Berlin, 2008.
-
(2008)
New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems
-
-
Basin, M.1
-
16
-
-
33747500027
-
Accurate evaluation of stochastic Wiener integrals with applications to scattering in random media and to nonlinear filtering
-
Blankenship, G.L and J.S. Baras. Accurate evaluation of stochastic Wiener integrals with applications to scattering in random media and to nonlinear filtering. SIAM J. Appl. Math., 41:518–552, 1981.
-
(1981)
SIAM J. Appl. Math.
, vol.41
, pp. 518-552
-
-
Blankenship, G.L.1
Baras, J.S.2
-
17
-
-
0020101820
-
Asymptotic a priori estimates for the error in the nonlinear filtering problem
-
Bobrovsky, B.Z. and M. Zakai. Asymptotic a priori estimates for the error in the nonlinear filtering problem. IEEE Trans. Inform. Theory, IT-27:371–376, 1982.
-
(1982)
IEEE Trans. Inform. Theory, IT
, vol.27
, pp. 371-376
-
-
Bobrovsky, B.Z.1
Zakai, M.2
-
18
-
-
0020089442
-
A singular perturbation method for the computation of the mean first passage time in a nonlinear filter
-
Bobrovsky, B.Z. and Z. Schuss. A singular perturbation method for the computation of the mean first passage time in a nonlinear filter. SIAM J. Appl. Math., 42(1):174–187, 1982.
-
(1982)
SIAM J. Appl. Math.
, vol.42
, Issue.1
, pp. 174-187
-
-
Bobrovsky, B.Z.1
Schuss, Z.2
-
20
-
-
0032002958
-
A differential geometric approach to nonlinear filtering: The projection filter
-
Brigo, D., B. Hanzon and F. LeGland. A differential geometric approach to nonlinear filtering: The projection filter. IEEE Trans. Automat. Contr., 43(2):247–252, 1998.
-
(1998)
IEEE Trans. Automat. Contr.
, vol.43
, Issue.2
, pp. 247-252
-
-
Brigo, D.1
Hanzon, B.2
Legland, F.3
-
21
-
-
33749611021
-
Approximate nonlinear filtering by projection on exponential manifolds of densities
-
Brigo, D., B. Hanzon and F. LeGland. Approximate nonlinear filtering by projection on exponential manifolds of densities. Bernoulli, 5(3):495–534, 1999.
-
(1999)
Bernoulli
, vol.5
, Issue.3
, pp. 495-534
-
-
Brigo, D.1
Hanzon, B.2
Legland, F.3
-
23
-
-
0002237314
-
The geometry of the conditional density functions
-
(eds.), pp. , Academic Press, NY
-
Brockett, R.W. and J.M.C. Clark. The geometry of the conditional density functions, in, Analysis and Optimization of Stochastic Systems, O.L.R. Jacobs et al. (eds.), pp. 299–309, Academic Press, NY, 1980.
-
(1980)
Analysis and Optimization of Stochastic Systems, O.L.R. Jacobs Et Al.
, pp. 299-309
-
-
Brockett, R.W.1
Clark, J.M.C.2
-
24
-
-
0014570310
-
Bayes’ theorem and digital realizations for nonlinear filters
-
Bucy, R.S. Bayes’ theorem and digital realizations for nonlinear filters. J. Astronaut. Sci., 17:80–94, 1969.
-
(1969)
J. Astronaut. Sci.
, vol.17
, pp. 80-94
-
-
Bucy, R.S.1
-
25
-
-
0017936105
-
A priori error bounds for the cubic sensor problem
-
Bucy, R.S. and J. Pages. A priori error bounds for the cubic sensor problem. IEEE Trans. Autom. Control, 23(1):88–91, 1978.
-
(1978)
IEEE Trans. Autom. Control
, vol.23
, Issue.1
, pp. 88-91
-
-
Bucy, R.S.1
Pages, J.2
-
26
-
-
0003633991
-
-
xviii+217 pp. ISBN: 0-8284-0326-0, 93-02. Chelsea Publishing Co., NY, 2-nd edition
-
Bucy, R.S., P.D. Joseph. Filtering for Stochastic Processes with Applications to Guidance, xviii+217 pp. ISBN: 0-8284-0326-0, 93-02. Chelsea Publishing Co., NY, 2-nd edition, 1987.
-
(1987)
Filtering for Stochastic Processes with Applications to Guidance
-
-
Bucy, R.S.1
Joseph, P.D.2
-
28
-
-
0042826156
-
On the Brownian displacements and thermal diffusion of grains suspended in a non-uniform fluid
-
Chapman, S. On the Brownian displacements and thermal diffusion of grains suspended in a non-uniform fluid. Proc. R. Soc. London, Ser. A, 119:34-54, 1928.
-
(1928)
Proc. R. Soc. London, Ser. A
, vol.119
, pp. 34-54
-
-
Chapman, S.1
-
30
-
-
0038336146
-
Exact rates of convergence for a branching particle approximation to the solution of the Zakai equation
-
Crisan, D. Exact rates of convergence for a branching particle approximation to the solution of the Zakai equation. Annals of Probability, 31:693–718, 2003.
-
(2003)
Annals of Probability
, vol.31
, pp. 693-718
-
-
Crisan, D.1
-
35
-
-
0033700459
-
Phase noise in oscillators: A unifying theory and numerical methods for characterization
-
Demir, A., A. Mehrotra, and J. Roychowdhury. Phase noise in oscillators: A unifying theory and numerical methods for characterization. IEEE Trans. Circuits Systems I: Fund. Theory Appl., 47:655–674, 2000.
-
(2000)
IEEE Trans. Circuits Systems I: Fund. Theory Appl.
, vol.47
, pp. 655-674
-
-
Demir, A.1
Mehrotra, A.2
Roychowdhury, J.3
-
36
-
-
0004064853
-
-
Prentice–Hall, Englewood Cliffs, NJ, 10th edition
-
Dorf, R. and R.H. Bishop. Modern Control Systems. Prentice–Hall, Englewood Cliffs, NJ, 10th edition, 2004.
-
(2004)
Modern Control Systems
-
-
Dorf, R.1
Bishop, R.H.2
-
37
-
-
0043071630
-
Fractional Brownian motion and stochastic equations in Hilbert spaces
-
Duncan, T.E. and B. Pasik-Duncan. Fractional Brownian motion and stochastic equations in Hilbert spaces. Stoch. Dyn., 2:225–250, 2002.
-
(2002)
Stoch. Dyn.
, vol.2
, pp. 225-250
-
-
Duncan, T.E.1
Pasik-Duncan, B.2
-
38
-
-
0022694639
-
A singular perturbation approach to non-Markovian escape rate problems
-
Dygas, M.M., B.J. Matkowsky, and Z. Schuss. A singular perturbation approach to non-Markovian escape rate problems. SIAM J. Appl. Math., 46(2):265–298, 1986.
-
(1986)
SIAM J. Appl. Math.
, vol.46
, Issue.2
, pp. 265-298
-
-
Dygas, M.M.1
Matkowsky, B.J.2
Schuss, Z.3
-
41
-
-
0003040231
-
Large deviations for interacting particle systems. Applications to nonlinear filtering
-
elMoral, P. and A. Guionnet. Large deviations for interacting particle systems. Applications to nonlinear filtering problems. Stochast. Process. Applicat., 78:69–95, 1998.
-
(1998)
Problems. Stochast. Process. Applicat.
, vol.78
, pp. 69-95
-
-
Elmoral, P.1
Guionnet, A.2
-
42
-
-
34147128541
-
Reactive boundary conditions for stochastic simulations of reaction–diffusion processes
-
Erban, R. and J. Chapman. Reactive boundary conditions for stochastic simulations of reaction–diffusion processes. Phys. Biol., 4:16–28, 2007.
-
(2007)
Phys. Biol.
, vol.4
, pp. 16-28
-
-
Erban, R.1
Chapman, J.2
-
45
-
-
84966207705
-
Diffusion processes in one dimension
-
Feller, W. Diffusion processes in one dimension. Trans. AMS, 77(1):1–31, 1954.
-
(1954)
Trans. AMS
, vol.77
, Issue.1
, pp. 1-31
-
-
Feller, W.1
-
46
-
-
0033457813
-
On fractional Brownian processes
-
Feyel, D. and A.D.L. Pradelle. On fractional Brownian processes. Potential Anal., 10:273–288, 1999.
-
(1999)
Potential Anal
, vol.10
, pp. 273-288
-
-
Feyel, D.1
Pradelle, A.D.L.2
-
48
-
-
33748325962
-
Mean time to lose lock of phase tracking by particle filtering
-
Fischler, E. and B.Z. Bobrovsky. Mean time to lose lock of phase tracking by particle filtering. Signal Process., 86:3481–3485, 2006.
-
(2006)
Signal Process
, vol.86
, pp. 3481-3485
-
-
Fischler, E.1
Bobrovsky, B.Z.2
-
55
-
-
78649284841
-
-
volume 38, xii+252 pp. ISBN: 978-0-8218-4333-8. AMS, Providence, RI
-
Fristedt, B., N. Jain, N. Krylov. Filtering and Prediction: A Primer. Student Mathematical Library, volume 38, xii+252 pp. ISBN: 978-0-8218-4333-8. AMS, Providence, RI, 2007.
-
(2007)
Filtering and Prediction: A Primer. Student Mathematical Library
-
-
Fristedt, B.1
Jain, N.2
Krylov, N.3
-
56
-
-
84972561398
-
Stochastic differential equations for the nonlinear filtering problem
-
Fujisaki, M., G. Kallianpur and H. Kunita. Stochastic differential equations for the nonlinear filtering problem. Osaka J. of Math, 9:19–40, 1972.
-
(1972)
Osaka J. of Math
, vol.9
, pp. 19-40
-
-
Fujisaki, M.1
Kallianpur, G.2
Kunita, H.3
-
62
-
-
0022544976
-
Single cyclic GMP-activated channel activity in excised patches of rod outer segment membrane
-
Haynes, L.W., A.R. Kay, K.W. Yau. Single cyclic GMP-activated channel activity in excised patches of rod outer segment membrane. Nature, 321(6065):66–70, 1986.
-
(1986)
Nature
, vol.321
, Issue.6065
, pp. 66-70
-
-
Haynes, L.W.1
Kay, A.R.2
Yau, K.W.3
-
63
-
-
0003655388
-
Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem
-
Hazewinkel, M., S.I. Marcus and H.J. Sussmann. Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem. Syst. Contr. Lett., 3(6):331–340, 1983.
-
(1983)
Syst. Contr. Lett.
, vol.3
, Issue.6
, pp. 331-340
-
-
Hazewinkel, M.1
Marcus, S.I.2
Sussmann, H.J.3
-
64
-
-
0021303017
-
Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem
-
Springer Berlin, Heidelberg Book Series Lecture Notes in Control and Information Sciences 61
-
Hazewinkel, S.I. Marcus and H.J. Sussmann. Nonexistence of finite dimensional filters for conditional statistics of the cubic sensor problem, in Filtering and Control of Random Processes, pp. 76–103. Springer Berlin, Heidelberg Book Series Lecture Notes in Control and Information Sciences 61, 1984.
-
(1984)
Filtering and Control of Random Processes
, pp. 76-103
-
-
Hazewinkel, S.I.M.1
Sussmann, H.J.2
-
66
-
-
0009028496
-
Asymptotic Bayesian estimation of a first-order equation with small diffusion
-
Hijab, O. Asymptotic Bayesian estimation of a first-order equation with small diffusion. The Annals of Probability, 12:890–902, 1984.
-
(1984)
The Annals of Probability
, vol.12
, pp. 890-902
-
-
Hijab, O.1
-
72
-
-
36149025974
-
Thermal agitation of electricity in conductors
-
Johnson, J.B. Thermal agitation of electricity in conductors. Phys. Rev., 32:97–109, 1928.
-
(1928)
Phys. Rev.
, vol.32
, pp. 97-109
-
-
Johnson, J.B.1
-
73
-
-
0034260390
-
Generalized functions in signal theory
-
Jondral, F. Generalized functions in signal theory. Acta Applicandae Mathematicae, 63:1–3, 2000.
-
(2000)
Acta Applicandae Mathematicae
, vol.63
, pp. 1-3
-
-
Jondral, F.1
-
75
-
-
85024429815
-
A new approach to linear filtering and prediction problems
-
Kalman, R.E. A new approach to linear filtering and prediction problems. Trans. AMSE, Ser. D., J. Basic Engng, 82:35–45, 1960.
-
(1960)
Trans. AMSE, Ser. D., J. Basic Engng
, vol.82
, pp. 35-45
-
-
Kalman, R.E.1
-
76
-
-
33746069779
-
A new method and results in linear prediction and filtering theory
-
RIAS, Martin Co., Baltimore, MD
-
Kalman, R.E. A new method and results in linear prediction and filtering theory. Technical Report 61, RIAS, Martin Co., Baltimore, MD, 1961.
-
(1961)
Technical Report
, vol.61
-
-
Kalman, R.E.1
-
77
-
-
85024423711
-
New results in linear filtering and prediction theory
-
Kalman, R.E. and R.S. Bucy. New results in linear filtering and prediction theory. Trans. AMSE, Ser. D., J. Basic Engng, 83:95–108, 1961.
-
(1961)
Trans. AMSE, Ser. D., J. Basic Engng
, vol.83
, pp. 95-108
-
-
Kalman, R.E.1
Bucy, R.S.2
-
80
-
-
0003730487
-
-
volume , Academic Press, NY, 2nd edition
-
Karlin, S. and H.M. Taylor. A First Course in Stochastic Processes, volume 1. Academic Press, NY, 2nd edition, 1975.
-
(1975)
A First Course in Stochastic Processes
, vol.1
-
-
Karlin, S.1
Taylor, H.M.2
-
81
-
-
0003730487
-
-
volume , Academic Press, NY, 2nd edition
-
Karlin, S. and H.M. Taylor. A Second Course in Stochastic Processes, volume 2. Academic Press, NY, 2nd edition, 1981.
-
(1981)
A Second Course in Stochastic Processes
, vol.2
-
-
Karlin, S.1
Taylor, H.M.2
-
82
-
-
0023562374
-
Loss of lock induced by Doppler or code rate mismatch in code tracking loops
-
Proceedings of an International Conference, MILCOM 1987, volume , IEEE
-
Karmy, R., B.Z. Bobrovsky, and Z. Schuss. Loss of lock induced by Doppler or code rate mismatch in code tracking loops, in Military Communications Conference-Crisis Communications: The Promise and Reality, Proceedings of an International Conference, MILCOM 1987, volume 1. IEEE, 1987.
-
(1987)
Military Communications Conference-Crisis Communications: The Promise and Reality
, vol.1
-
-
Karmy, R.1
Bobrovsky, B.Z.2
Schuss, Z.3
-
83
-
-
0029304629
-
Discrete simulation of colored noise and stochastic processes and a 1=f power law noise generation
-
Kasdin, N.J. Discrete simulation of colored noise and stochastic processes and a 1=f power law noise generation. Proc. IEEE, 83:802–827, 1995.
-
(1995)
Proc. IEEE
, vol.83
, pp. 802-827
-
-
Kasdin, N.J.1
-
85
-
-
0021446344
-
Asymptotic analysis of the optimal filtering problem for one-dimensional diffusions measured in a low-noise channel, part i
-
Katzur, R., B.Z. Bobrovsky and Z. Schuss. Asymptotic analysis of the optimal filtering problem for one-dimensional diffusions measured in a low-noise channel, part i. SIAM J. Appl. Math., 44(3):591–604, 1984.
-
(1984)
SIAM J. Appl. Math.
, vol.44
, Issue.3
, pp. 591-604
-
-
Katzur, R.1
Bobrovsky, B.Z.2
Schuss, Z.3
-
88
-
-
23244454361
-
The systematic derivation of higher order numerical schemes for stochastic differential equations
-
Kloeden, P.E. The systematic derivation of higher order numerical schemes for stochastic differential equations. Milan J. Math., 70:187–207, 2002.
-
(2002)
Milan J. Math.
, vol.70
, pp. 187-207
-
-
Kloeden, P.E.1
-
90
-
-
0022360954
-
An asymptotic theory of large deviations for Markov jump processes
-
Knessl, C., B.J. Matkowsky, Z. Schuss and C. Tier. An asymptotic theory of large deviations for Markov jump processes. SIAM J. Appl. Math., 45:1006–1028, 1985.
-
(1985)
SIAM J. Appl. Math.
, vol.45
, pp. 1006-1028
-
-
Knessl, C.1
Matkowsky, B.J.2
Schuss, Z.3
Tier, C.4
-
91
-
-
34250124127
-
Boundary behavior of diffusion approximations to Markov jump processes
-
Knessl, C., B.J. Matkowsky, Z. Schuss and C. Tier. Boundary behavior of diffusion approximations to Markov jump processes. J. Stat. Phys., 45:245–266, 1986.
-
(1986)
J. Stat. Phys.
, vol.45
, pp. 245-266
-
-
Knessl, C.1
Matkowsky, B.J.2
Schuss, Z.3
Tier, C.4
-
92
-
-
0040915330
-
A singular perturbations approach to first passage times for Markov jump processes
-
Knessl, C., B.J. Matkowsky, Z. Schuss and C. Tier. A singular perturbations approach to first passage times for Markov jump processes. J. Stat. Phys., 42:169–184, 1986.
-
(1986)
J. Stat. Phys.
, vol.42
, pp. 169-184
-
-
Knessl, C.1
Matkowsky, B.J.2
Schuss, Z.3
Tier, C.4
-
93
-
-
0000189685
-
Über die analytischen M ethoden in der Wahrscheinlichkeitsrechnung
-
Kolmogorov, A.N. Über die analytischen M ethoden in der Wahrscheinlichkeitsrechnung. Math. Annal., 104:415, 1931.
-
(1931)
Math. Annal.
, vol.104
, pp. 415
-
-
Kolmogorov, A.N.1
-
94
-
-
34547275473
-
Brownian motion in field of force and diffusion model of chemical reaction
-
Kramers, H.A. Brownian motion in field of force and diffusion model of chemical reaction. Physica, 7:284–304, 1940.
-
(1940)
Physica
, vol.7
, pp. 284-304
-
-
Kramers, H.A.1
-
95
-
-
33746292669
-
Dynamical equations for optimal nonlinear filtering
-
Kushner, H.J. Dynamical equations for optimal nonlinear filtering. J. Diff. Equations, 2:179–190, 1967.
-
(1967)
J. Diff. Equations
, Issue.2
, pp. 179-190
-
-
Kushner, H.J.1
-
97
-
-
0004056428
-
-
volume , Pergamon Press, Elmsford, NY, 3rd edition
-
Landau, L.D. and E.M. Lifshitz. Statistical Physics, Course of Theoretical Physics, volume 5. Pergamon Press, Elmsford, NY, 3rd edition, 1980.
-
(1980)
Statistical Physics, Course of Theoretical Physics
, vol.5
-
-
Landau, L.D.1
Lifshitz, E.M.2
-
98
-
-
85068143616
-
ɑ phase noise on a second-order delay lock loop: Calculation of the mean time to lose lock
-
ɑ phase noise on a second-order delay lock loop: calculation of the mean time to lose lock. SIAM J. Appl. Math., 66.
-
SIAM J. Appl. Math.
, pp. 66
-
-
Landis, S.1
Bobrovsky, B.Z.2
Schuss, Z.3
-
99
-
-
0000937122
-
Sur la théorie du mouvement Brownien
-
Langevin, P. Sur la théorie du mouvement Brownien. C.R. Paris, 146:530–533, 1908.
-
(1908)
C.R. Paris
, vol.146
, pp. 530-533
-
-
Langevin, P.1
-
104
-
-
16144366244
-
Fixed lag smoothing of scalar diffusions–part I: The filtering-smoothing equation
-
Liptser, R., B.Z. Bobrovsky, Z. Schuss and Y. Steinberg. Fixed lag smoothing of scalar diffusions–part I: The filtering-smoothing equation. Stochastic Processes and their Applications, 64:237–255, 1996.
-
(1996)
Stochastic Processes and Their Applications
, vol.64
, pp. 237-255
-
-
Liptser, R.1
Bobrovsky, B.Z.2
Schuss, Z.3
Steinberg, Y.4
-
105
-
-
0004325876
-
-
Springer-Verlag, New York
-
Liptser, R.S. and A.N. Shiryayev. Statistics of Random Processes, volumes I, II. Springer-Verlag, New York, 2001.
-
(2001)
Statistics of Random Processes, Volumes I, II
-
-
Liptser, R.S.1
Shiryayev, A.N.2
-
106
-
-
0016568164
-
Persistence of dynamical systems under random perturbations
-
Ludwig, D. Persistence of dynamical systems under random perturbations. SIAM Rev., 17(4):605–640, 1975.
-
(1975)
SIAM Rev
, vol.17
, Issue.4
, pp. 605-640
-
-
Ludwig, D.1
-
107
-
-
51449084121
-
Statistical Multisource-Multitarget Information Fusion
-
Mahler, R.P.S. Statistical Multisource-Multitarget Information Fusion. Artech House, Boston, 2007.
-
(2007)
Artech House, Boston
-
-
Mahler, R.P.S.1
-
109
-
-
0000501589
-
Fractional Brownian motions, fractional noises and applications
-
Mandelbrot, B.B. and J.W. Van Ness. Fractional Brownian motions, fractional noises and applications. SIAM Rev., 10:422–437, 1968.
-
(1968)
SIAM Rev
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.B.1
van Ness, J.W.2
-
111
-
-
0021521189
-
Algebraic and geometric methods in nonlinear filtering
-
Marcus, S.I. Algebraic and geometric methods in nonlinear filtering. SIAM J. Control and Optimization, 22(6):817–844, 1984.
-
(1984)
SIAM J. Control and Optimization
, vol.22
, Issue.6
, pp. 817-844
-
-
Marcus, S.I.1
-
112
-
-
0000506591
-
The exit problem for randomly perturbed dynamical systems
-
Matkowsky, B.J. and Z. Schuss. The exit problem for randomly perturbed dynamical systems. SIAM J. Appl. Math., 33:365–382, 1977.
-
(1977)
SIAM J. Appl. Math.
, vol.33
, pp. 365-382
-
-
Matkowsky, B.J.1
Schuss, Z.2
-
115
-
-
0001424703
-
Linear processes that produce 1=f or flicker noise
-
Milotti, E. Linear processes that produce 1=f or flicker noise. Phys. Rev. E, 51(3):3087–3103, 1995.
-
(1995)
Phys. Rev. E
, vol.51
, Issue.3
, pp. 3087-3103
-
-
Milotti, E.1
-
116
-
-
0001272602
-
On the analogy between mathematical problems of nonlinear filtering and quantum physics
-
Mitter, S.K. On the analogy between mathematical problems of nonlinear filtering and quantum physics. Ricerche Automat., 10:163–216, 1979.
-
(1979)
Ricerche Automat
, vol.10
, pp. 163-216
-
-
Mitter, S.K.1
-
117
-
-
0001678585
-
Maximum likelihood recursive nonlinear filtering
-
Mortensen, R.E. Maximum likelihood recursive nonlinear filtering. J. Opt. Theory Appl., 2:386–394, 1968.
-
(1968)
J. Opt. Theory Appl.
, vol.2
, pp. 386-394
-
-
Mortensen, R.E.1
-
118
-
-
0025414030
-
Direct approach to the exit problem
-
Naeh, T., M.M. Kłosek, B. J. Matkowsky and Z. Schuss. Direct approach to the exit problem. SIAM J. Appl. Math., 50:595–627, 1990.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 595-627
-
-
Naeh, T.1
Kłosek, M.M.2
Matkowsky, B.J.3
Schuss, Z.4
-
119
-
-
85050956456
-
Modeling
-
English edition of the 2006 French original. ISTE, London, xvi+392 pp. ISBN: 978-1-84821-022-6. John Wiley & Sons, Inc., Hoboken, NJ, 2008
-
Najim, M. Modeling, Estimation and Optimal Filtering in Signal Processing. English edition of the 2006 French original. ISTE, London, xvi+392 pp. ISBN: 978-1-84821-022-6. John Wiley & Sons, Inc., Hoboken, NJ, 2008.
-
Estimation and Optimal Filtering in Signal Processing.
-
-
Najim, M.1
-
121
-
-
36149010109
-
Thermal agitation of electric charge in conductors
-
Nyquist, H. Thermal agitation of electric charge in conductors. Phys. Rev., 32:110-Ű113, 1928.
-
(1928)
Phys. Rev.
, vol.32
-
-
Nyquist, H.1
-
122
-
-
0023830393
-
Probability densities for conditional statistics in the cubic sensor problem
-
Ocone, D. Probability densities for conditional statistics in the cubic sensor problem. Math. Control Signals Systems, 1:183–202, 1988.
-
(1988)
Math. Control Signals Systems
, vol.1
, pp. 183-202
-
-
Ocone, D.1
-
124
-
-
0012935376
-
-
McGraw Hill, NY, 3rd edition
-
Papoulis, A. Probability, Random Variables, and Stochastic Processes. McGraw Hill, NY, 3rd edition, 1991.
-
(1991)
Papoulis, A. Probability, Random Variables, and Stochastic Processes
-
-
-
125
-
-
0026173499
-
Efficiency of the extended Kalman filter for nonlinear systems with small noise
-
Picard, J. Efficiency of the extended Kalman filter for nonlinear systems with small noise. SIAM. J. Appl. Math., 51:843–885, 1991.
-
(1991)
SIAM. J. Appl. Math.
, vol.51
, pp. 843-885
-
-
Picard, J.1
-
128
-
-
33747257492
-
Probability and stochastic processes
-
McGraw–Hill, NY, 3rd edition
-
Proakis, J.G. Probability and stochastic processes, in Digital Communications, pp. 68–72. McGraw–Hill, NY, 3rd edition, 1995.
-
(1995)
Digital Communications
, pp. 68-72
-
-
Proakis, J.G.1
-
130
-
-
21544448810
-
Currents induced by electron motion
-
Ramo, S. Currents induced by electron motion. Proc. IRE., 9:584–585, 1939.
-
(1939)
Proc. IRE.
, Issue.9
, pp. 584-585
-
-
Ramo, S.1
-
132
-
-
0003617670
-
-
Cambridge University Press, paperback edition
-
Rogers, L.C.G. and D. Williams. Diffusions, Markov Processes, and Martingales, volumes I, II. Cambridge University Press, paperback edition, 2000.
-
(2000)
Markov Processes, and Martingales, Volumes I, II
-
-
Rogers, L.C.G.1
Diffusions, D.W.2
-
134
-
-
0017921304
-
Theory of phase tracking systems of arbitrary order
-
Ryter, D. and H. Meyr. Theory of phase tracking systems of arbitrary order. IEEE Trans. Info. Theory, IT-24:1–7, 1978.
-
(1978)
IEEE Trans. Info. Theory, IT
, vol.24
, pp. 1-7
-
-
Ryter, D.1
Meyr, H.2
-
135
-
-
84878259575
-
-
Birkhäuser Boston, Inc., Boston, MA
-
Saberi, A., A.A. Stoorvogel, P. Sannuti. Filtering Theory: With Applications to Fault Detection, Isolation, and Estimation. Systems & Control: Foundations & Applications, xiv+723 pp. ISBN: 978-0-8176-4301-0; 0-8176-4301-X. Birkhäuser Boston, Inc., Boston, MA, 2007.
-
(2007)
Filtering Theory: With Applications to Fault Detection, Isolation, and Estimation. Systems & Control: Foundations & Applications, Xiv+723 Pp. ISBN: 978-0-8176-4301-0; 0-8176-4301-X
-
-
Saberi, A.1
Stoorvogel, A.A.2
Sannuti, P.3
-
138
-
-
0018478697
-
The exit problem: A new approach to diffusion across potential barriers
-
Schuss, Z. and B.J. Matkowsky. The exit problem: a new approach to diffusion across potential barriers. SIAM J. Appl. Math., 35(3):604–623, 1979.
-
(1979)
SIAM J. Appl. Math.
, vol.35
, Issue.3
, pp. 604-623
-
-
Schuss, Z.1
Matkowsky, B.J.2
-
139
-
-
0019558225
-
The asymptotic minimum variance of linear stationary single output processes
-
Shaked, U. and B.Z. Bobrovsky. The asymptotic minimum variance of linear stationary single output processes. IEEE Trans. Automat. Control, 21:498–504, 1981.
-
(1981)
IEEE Trans. Automat. Control
, vol.21
, pp. 498-504
-
-
Shaked, U.1
Bobrovsky, B.Z.2
-
140
-
-
36849131315
-
Currents to conductors induced by moving point charge
-
Shockley, W. Currents to conductors induced by moving point charge. J. Appl. Phys., 9:635–636, 1938.
-
(1938)
J. Appl. Phys.
, vol.9
, pp. 635-636
-
-
Shockley, W.1
-
141
-
-
0003626823
-
-
Computer Science Press, Rockville, MD
-
Simon, M.K., J. Omura, R.A. Scholtz, and B. Levitt. Spread Spectrum Communications, volumes I–III. Computer Science Press, Rockville, MD, 1985.
-
(1985)
Spread Spectrum Communications, Volumes I–III
-
-
Simon, M.K.1
Omura, J.2
Scholtz, R.A.3
Levitt, B.4
-
142
-
-
0001379748
-
Stochastic equations for diffusion processes in a bounded region
-
Skorokhod, A.V. Stochastic equations for diffusion processes in a bounded region. Theory of Probability and Applications, 6(3):264–274, 1961.
-
(1961)
Theory of Probability and Applications
, vol.6
, Issue.3
, pp. 264-274
-
-
Skorokhod, A.V.1
-
145
-
-
84927465241
-
Some theorems concerning two-dimensional Brownian motion
-
Spitzer, F. Some theorems concerning two-dimensional Brownian motion. Trans. AMS, 87:187–197, 1958.
-
(1958)
Trans. AMS
, vol.87
, pp. 187-197
-
-
Spitzer, F.1
-
146
-
-
0024132543
-
On the optimal filtering problem for the cubic sensor
-
Steinberg, Y., B.Z. Bobrovsky and Z. Schuss. On the optimal filtering problem for the cubic sensor. Circuits, Systems, and Signal Processing, 7(3):381–408, 1988.
-
(1988)
Circuits, Systems, and Signal Processing
, vol.7
, Issue.3
, pp. 381-408
-
-
Steinberg, Y.1
Bobrovsky, B.Z.2
Schuss, Z.3
-
148
-
-
33847216764
-
-
M. Hazewinkel and J.C. Willems, eds., pp, IEEE
-
Sussmann, H.J. Rigorous results on the cubic sensor problem, in Stochastic Systems: The Mathematics of Filtering and Identification and Applications, M. Hazewinkel and J.C. Willems, eds., pp. 637–648, IEEE 1981.
-
(1981)
Rigorous Results on The Cubic Sensor Problem, in Stochastic Systems: The Mathematics of Filtering and Identification and Applications
, pp. 637-648
-
-
Sussmann, H.J.1
-
153
-
-
0025448416
-
Mean time to lose lock for a coherent second-order PN-code tracking loop – the singular perturbation approach
-
Welti, A.L. and B.Z. Bobrovsky. Mean time to lose lock for a coherent second-order PN-code tracking loop – the singular perturbation approach. IEEE J. Select. Areas Commun., 8:809–818, 1990.
-
(1990)
IEEE J. Select. Areas Commun.
, vol.8
, pp. 809-818
-
-
Welti, A.L.1
Bobrovsky, B.Z.2
-
154
-
-
0029373289
-
Third-order delay-locked loop: Mean time to lose lock and optimal parameters
-
Welti, A.L., U.P. Bernhard and B.Z. Bobrovsky. Third-order delay-locked loop: Mean time to lose lock and optimal parameters. IEEE Trans. on Comm., 43:2540–50, 1995.
-
(1995)
IEEE Trans. on Comm.
, vol.43
, pp. 2540-2550
-
-
Welti, A.L.1
Bernhard, U.P.2
Bobrovsky, B.Z.3
-
155
-
-
85040136095
-
Differential space
-
Wiener, N. Differential space. J. Math. Phys., 2:131–174, 1923.
-
(1923)
J. Math. Phys.
, vol.2
, pp. 131-174
-
-
Wiener, N.1
-
156
-
-
0000575447
-
On the convergence of ordinary integrals to stochastic integrals
-
Wong, E. and M. Zakai. On the convergence of ordinary integrals to stochastic integrals. Ann. Math. Stat., 36:1560–1564, 1965.
-
(1965)
Ann. Math. Stat.
, vol.36
, pp. 1560-1564
-
-
Wong, E.1
Zakai, M.2
-
157
-
-
0025462413
-
A Karhunen-Loève-like expansion for 1=f processes via wavelets
-
Wornell, G.W. A Karhunen-Loève-like expansion for 1=f processes via wavelets. IEEE Trans. Inform. Theory, 36:859–861, 1990.
-
(1990)
IEEE Trans. Inform. Theory
, vol.36
, pp. 859-861
-
-
Wornell, G.W.1
-
158
-
-
0003674337
-
Synthesis, analysis, and processing of fractal signals
-
MIT, Cambridge, MA
-
Wornell, G.W. Synthesis, analysis, and processing of fractal signals. Technical Report RLE 566, MIT, Cambridge, MA, 1991.
-
(1991)
Technical Report RLE
, vol.566
-
-
Wornell, G.W.1
-
159
-
-
0026829738
-
Estimation of fractal signals from noisy measurements using wavelets
-
Wornell, G.W. and A.V. Oppenheim. Estimation of fractal signals from noisy measurements using wavelets. IEEE Trans. Signal Process., 40:611–623, 1992.
-
(1992)
IEEE Trans. Signal Process.
, vol.40
, pp. 611-623
-
-
Wornell, G.W.1
Oppenheim, A.V.2
-
162
-
-
0025477681
-
Asymptotic analysis of the optimal filtering problem for two-dimensional diffusions measured in a low-noise channel
-
Yaesh, Y., B.Z. Bobrovsky and Z. Schuss. Asymptotic analysis of the optimal filtering problem for two-dimensional diffusions measured in a low-noise channel. SIAM J. Appl. Math., 50(4):1134–1155, 1990.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, Issue.4
, pp. 1134-1155
-
-
Yaesh, Y.1
Bobrovsky, B.Z.2
Schuss, Z.3
-
163
-
-
85068179591
-
Special solutions to some Kolmogorov equations arising from cubic sensor problems
-
Yau, S.T., R. Du, and L.X. Jia. Special solutions to some Kolmogorov equations arising from cubic sensor problems. Cl Information and Systems, 7(2):195–206, 2007.
-
(2007)
Cl Information and Systems
, vol.7
, Issue.2
, pp. 195-206
-
-
Yau, S.T.1
Du, R.2
Jia, L.X.3
-
164
-
-
0001702452
-
On the optimal filtering of diffusion processes
-
Zakai, M. On the optimal filtering of diffusion processes. Z. Wahrsch. Verw. Geb., 11:230–243, 1969.
-
(1969)
Z. Wahrsch. Verw. Geb.
, vol.11
, pp. 230-243
-
-
Zakai, M.1
-
165
-
-
0021507322
-
An extension of the BeneLs filter and some identification problems solved by nonlinear filtering methods
-
Zeitouni, O. An extension of the BeneLs filter and some identification problems solved by nonlinear filtering methods. Systems and Control Letters, 5:9–17, 1984.
-
(1984)
Systems and Control Letters
, vol.5
, pp. 9-17
-
-
Zeitouni, O.1
-
166
-
-
0022757386
-
On the joint nonlinear filtering-smoothing of diffusion processes
-
Zeitouni, O. and B.Z. Bobrovsky. On the joint nonlinear filtering-smoothing of diffusion processes. Systems and Control Letters, 7:317–321, 1986.
-
(1986)
Systems and Control Letters
, vol.7
, pp. 317-321
-
-
Zeitouni, O.1
Bobrovsky, B.Z.2
-
168
-
-
0042962643
-
On the noise spectra of semiconductor noise and of flicker effect
-
van der Ziel, A. On the noise spectra of semiconductor noise and of flicker effect. Physica, 16:359–372, 1950.
-
(1950)
Physica
, vol.16
, pp. 359-372
-
-
van der Ziel, A.1
-
170
-
-
0004232955
-
-
Prentice–Hall, Englewood Cliffs, NJ, 10th edition
-
Ziemer, R. and R. Peterson. Introduction to Digital Communication. Prentice–Hall, Englewood Cliffs, NJ, 10th edition, 2001.
-
(2001)
Introduction to Digital Communication
-
-
Ziemer, R.1
Peterson, R.2
|