3. Write a program that calculates the position, adds a noise, and estimates the speed using the Kalman algorithm. Test the algorithm on the follow- ing equation: S x₁(n) = n² x₂ (n) = sin(27 fon) = 0.5. Try with fo = 0.005. The observation noise is such that 02/2 different values of the modeling noise's variance of. Compare the result with the theoretical speed given by: S v₁ (n) = 2n v2 (n) = 27 fo cos(2π fon)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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3. Write a program that calculates the position, adds a noise, and estimates
the speed using the Kalman algorithm. Test the algorithm on the follow-
ing equation:
S x₁(n) = n²
x₂ (n) = sin(27 fon)
with fo
= 0.005. The observation noise is such that o² = 0.5. Try
different values of the modeling noise's variance of. Compare the result
with the theoretical speed given by:
{
v₁ (n) = 2n
v2 (n) = 2π fo cos(2π fon)
Transcribed Image Text:3. Write a program that calculates the position, adds a noise, and estimates the speed using the Kalman algorithm. Test the algorithm on the follow- ing equation: S x₁(n) = n² x₂ (n) = sin(27 fon) with fo = 0.005. The observation noise is such that o² = 0.5. Try different values of the modeling noise's variance of. Compare the result with the theoretical speed given by: { v₁ (n) = 2n v2 (n) = 2π fo cos(2π fon)
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