Search Results - Array square-root algorithms

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  1. 1

    Kalman Filter Sensitivity Evaluation With Orthogonal and J-Orthogonal Transformations by Kulikova, M. V., Pacheco, A.

    ISSN: 0018-9286, 1558-2523
    Published: New York IEEE 01.07.2013
    Published in IEEE transactions on automatic control (01.07.2013)
    “…This technical note addresses the array square-root Kalman filtering/smoothing algorithms with the conventional orthogonal and J -orthogonal transformations…”
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    Journal Article
  2. 2

    On scalarized calculation of the likelihood function in array square-root filtering algorithms by Kulikova, M. V.

    ISSN: 0005-1179, 1608-3032
    Published: Dordrecht SP MAIK Nauka/Interperiodica 01.05.2009
    Published in Automation and remote control (01.05.2009)
    “…An efficient method of scalarized calculation of the logarithmic likelihood function based on the array square-root implementation methods for Kalman filtering formulas was proposed…”
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    Journal Article
  3. 3

    IMPLEMENTATION OF AN ALGORITHM FOR SQUARE ROOT COMPUTATION IN AN FPGA ARRAY BY USING FIXED POINT REPRESENTATION by Lopez, Jorge H., Restrepo, Johans, Tobon, Jorge E.

    ISSN: 0121-4470
    Published: Universidad Nacional de Colombia 01.12.2018
    Published in Momento (01.12.2018)
    “… It also consumes much less hardware surface than other algorithms for calculating the square root of a number…”
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    Journal Article
  4. 4

    Square-root algorithms for maximum correntropy estimation of linear discrete-time systems in presence of non-Gaussian noise by Kulikova, M.V.

    ISSN: 0167-6911, 1872-7956
    Published: Elsevier B.V 01.10.2017
    Published in Systems & control letters (01.10.2017)
    “…Recent developments in the realm of state estimation of stochastic dynamic systems in the presence of non-Gaussian noise have induced a new methodology called…”
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    Journal Article
  5. 5

    Square-root Bryson-Frazier smoothing algorithms by PooGyeon Park, Kailath, T.

    ISSN: 0018-9286
    Published: New York, NY IEEE 01.04.1995
    Published in IEEE transactions on automatic control (01.04.1995)
    “…: square-root algorithms and a fast square-root (or so-called Chandrasekhar type) algorithm. The new square-root algorithms use square-root arrays composed of smoothed estimates and their error covariances…”
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    Journal Article
  6. 6

    Parallel-array implementations of a non-restoring square root algorithm by Yamin Li, Wanming Chu

    ISBN: 9780818682063, 081868206X
    ISSN: 1063-6404
    Published: IEEE 01.01.1997
    “…In this paper we present a parallel-array implementation of a new non-restoring square root algorithm (PASQRT…”
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    Conference Proceeding
  7. 7

    A general approach to constructing parameter identification algorithms in the class of square root filters with orthogonal and J-orthogonal tranformations by Kulikova, M. V., Tsyganova, Yu. V.

    ISSN: 0005-1179, 1608-3032
    Published: Moscow Pleiades Publishing 01.08.2014
    Published in Automation and remote control (01.08.2014)
    “…We study modern implementations of the discrete Kalman filter, namely array square-root algorithms…”
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    Journal Article
  8. 8

    Likelihood Gradient Evaluation Using Square-Root Covariance Filters by Kulikova, M.V.

    ISSN: 0018-9286, 1558-2523
    Published: New York, NY IEEE 01.03.2009
    Published in IEEE transactions on automatic control (01.03.2009)
    “…Using the array form of numerically stable square-root implementation methods for Kalman filtering formulas, we construct a new square-root algorithm for the log-likelihood gradient (score) evaluation…”
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    Journal Article
  9. 9

    Square-root RTS smoothing algorithms by PARK, POOGYEON, KAILATH, THOMAS

    ISSN: 0020-7179, 1366-5820
    Published: London Taylor & Francis Group 01.11.1995
    Published in International journal of control (01.11.1995)
    “…: stable square-root algorithms and a fast square-root (or so-called Chandrasekhar-type) algorithm. The new stable square-root algorithms use square-root arrays composed of smoothed estimates and their error covariances…”
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    Journal Article
  10. 10

    FPGA-based Low Latency Square Root CORDIC Algorithm by Węgrzyn, Mariusz, Voytusik, Stepan, Gavkalova, Nataliia

    ISSN: 1509-4553, 1899-8852
    Published: Warsaw Instytut Lacznosci - Panstwowy Instytut Badawczy (National Institute of Telecommunications) 2025
    “… With that context taken into consideration, this article presents a fast and accurate square root floating point (SQRT FP…”
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    Journal Article
  11. 11

    Array algorithms for H-infinity estimation by Hassibi, Babak, Kailath, Thomas, Sayed, Ali H

    ISSN: 0018-9286
    Published: 01.04.2000
    Published in IEEE transactions on automatic control (01.04.2000)
    “… The array algorithms considered include two main families: square-root array algorithms, which are typically numerically more stable than conventional ones, and fast…”
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    Journal Article
  12. 12

    A parallel square-root algorithm for modified extended Kalman filter by Lu, M., Qiao, X., Chen, G.

    ISSN: 0018-9251, 1557-9603
    Published: New York, NY IEEE 01.01.1992
    “…A parallel square-root algorithm and its systolic array implementation are proposed for performing modified extended Kalman filtering (MEKF…”
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    Journal Article
  13. 13

    Array-Based QR-RLS Multichannel Lattice Filtering by Gomes, J., Barroso, V.A.N.

    ISSN: 1053-587X, 1941-0476
    Published: New York, NY IEEE 01.08.2008
    Published in IEEE transactions on signal processing (01.08.2008)
    “… Individual units are updated using a square-root recursive least-squares (RLS) algorithm in array form that relies mainly on Givens rotations and exhibits highly…”
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    Journal Article
  14. 14

    Generalized square-root adaptive algorithms by Bhouri, M.

    ISBN: 9780780362932, 0780362934
    ISSN: 1520-6149
    Published: IEEE 2000
    “…We extend the QR-based recursive least squares algorithms to a more general square-root formulation, which involves array transforms using orthogonal and possibly non-orthogonal transforms e.g. Gauss transform…”
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    Conference Proceeding
  15. 15

    The square-root overdetermined recursive instrumental variable algorithm by Porat, B., Friedlander, B.

    ISSN: 0018-9286
    Published: New York, NY IEEE 01.06.1989
    Published in IEEE transactions on automatic control (01.06.1989)
    “… The algorithm uses square-root arrays, and both orthogonal and hyperbolic rotations, as necessitated by the nature of the ORIV algorithm.< >…”
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    Journal Article
  16. 16

    Low-Complexity Square-Root Unscented Kalman Filter Design Methodology by Dutt, Rashi, Acharyya, Amit

    ISSN: 0278-081X, 1531-5878
    Published: New York Springer US 01.11.2023
    Published in Circuits, systems, and signal processing (01.11.2023)
    “…Square-root unscented Kalman filter (SRUKF) is a widely used state estimator for several state of-the-art, highly nonlinear, and critical applications…”
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    Journal Article
  17. 17

    An Efficient FPGA Implementation of Orthogonal Matching Pursuit With Square-Root-Free QR Decomposition by Ge, Xiang, Yang, Fan, Zhu, Hengliang, Zeng, Xuan, Zhou, Dian

    ISSN: 1063-8210, 1557-9999
    Published: New York IEEE 01.03.2019
    “… However, the least square problem (LSP) in OMP algorithm limits its performance. This paper presents a fast CS reconstruction algorithm implemented on field-programmable gate array (FPGA) using OMP…”
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    Journal Article
  18. 18

    Array algorithms for H[infon] estimation by Hassibi, B, Kailath, T, Sayed, A H

    ISSN: 0018-9286, 1558-2523
    Published: New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.04.2000
    Published in IEEE transactions on automatic control (01.04.2000)
    “…: square-root array algorithms, which are typically numerically more stable than conventional ones, and fast array algorithms which, when the system is time-invariant, typically offer an order…”
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    Journal Article
  19. 19

    A Novel Square Root Algorithm and its FPGA Simulation by Zhou, Zhongcheng, Hu, Jingchun

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.10.2019
    Published in Journal of physics. Conference series (01.10.2019)
    “… The square root operation is a nonlinear operation and cannot be solved directly on FPGA. Many previous square root algorithms have been proposed…”
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    Journal Article
  20. 20

    Improving the Accuracy of the Fast Inverse Square Root by Modifying Newton–Raphson Corrections by Walczyk, Cezary J., Moroz, Leonid V., Cieśliński, Jan L.

    ISSN: 1099-4300, 1099-4300
    Published: Switzerland MDPI AG 09.01.2021
    Published in Entropy (Basel, Switzerland) (09.01.2021)
    “… We present improved algorithms for fast calculation of the inverse square root function for single-precision and double-precision floating-point numbers…”
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    Journal Article