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RDA154 995 UNCLASSIFIEDKALMAN FILTER TIME SERIES ANALYSIS OF GANNARAY DATA FROM NRI(TI) DETECTORS FOR THE ND6628 COMPUTER(U) NARAL RESEARCH LAB WASHINGTON DC G W PHILLIPS 88 MAY 85 F/G 28/6 NRLMR5541/2
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Step 1: Determine the state transition matrix A and the control input matrix B
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Step 2: Define the measurement matrix H and the measurement noise covariance R
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Step 3: Initialize the state estimate x and the error covariance P
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Step 4: Predict the next state using the process model x = Ax + Bu
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Step 5: Update the state estimate using the measurement z and the Kalman gain K
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Step 6: Update the error covariance P

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Engineers working on signal processing applications such as tracking and navigation systems
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Robotics engineers developing localization and mapping algorithms
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The Kalman filter time series refers to a statistical algorithm that uses a series of measurements observed over time, containing noise and other inaccuracies, to estimate unknown variables. It provides a means to improve estimations of the state of dynamic systems.
Typically, researchers and data analysts who are working with systems that can be modeled using state-space representation may utilize Kalman filters in their analyses. However, it is not a formal filing requirement in legal or taxation contexts.
Filling out a Kalman filter time series model involves defining the state transition model, measuring variables, initializing state estimates, and applying prediction and update steps using observed data over time.
The purpose of the Kalman filter time series is to provide a recursive solution to estimate the state of a linear dynamic system from a series of noisy measurements, improving predictions over time.
The Kalman filter mainly focuses on reporting estimated states and uncertainties, including the state estimates, measurement matrices, control inputs, noise covariances, and predicted versus observed values.
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