5. Assume that the measurement vector y is obtained from ß byy = WB + 8whereE(BB') = R,E(e8') = Q, E(Be') = S.Show that the minimum-variance estimate of ß based on y isB = (RW' + S)(WRW' + WS + S'W' + Q)-'y.

This question is about finding the minimum-variance estimate of the vector β, given a measurement…

Answered: 5. Assume that the measurement vector y…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5. Assume that the measurement vector y is obtained from ß by y = WB + 8 where E(BB)=R, Show that the minimum-variance B=(RW'+S)(WRW' E(88') = Q, E (Be') = S. estimate of ß based on y is + WS + S'W' +Q) ¹y.