Let x₁, x2 be the unknown coordinates of an object. We use four noisy sensors that give us the following readings: x₁ = 1.5, x2 = 1.5, x₁ + x2 = 3.1, x₁ - x2 = -0.9. What is the best possible estimate of x₁, x2? (in the sense of the Euclidean norm).

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 22A
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PROBLEM 4
Let ₁, 2 be the unknown coordinates of an object. We use four noisy sensors that give us the following
readings: x₁ = 1.5, x₂ = 1.5, x₁ + x₂ = 3.1, x₁ - x₂ = -0.9. What is the best possible estimate of x₁, x2? (in
the sense of the Euclidean norm).
Transcribed Image Text:PROBLEM 4 Let ₁, 2 be the unknown coordinates of an object. We use four noisy sensors that give us the following readings: x₁ = 1.5, x₂ = 1.5, x₁ + x₂ = 3.1, x₁ - x₂ = -0.9. What is the best possible estimate of x₁, x2? (in the sense of the Euclidean norm).
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