Let x₁ = a +bt² +c+z₁, t= 0, 1, 3,... where a,b and c constants and z, ~ WNa) Let U₁ = x, x4. Find the mean and variance of U,.1-4-WN (0,0²)-b) Show that {U}is not stationary.c) Let V₁ = U₁ -U₁. Show that {v} is stationary.d) Find the autocorrelation function for {V,}.

Given, xt=a+bt2+c+zt , t=0, 1, 3, . . . where a, b and c constants and zt~WN0, σz2.

Answered: Let x₁ = a +bt² +c+z₁, t=0, 1, 3,...…

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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Let x₁ = a +bt² +c+z₁, t=0, 1, 3,... where a,b and c constants and z, ~WN (0,0²). a) Let U₁ = x, -₁4. Find the mean and variance of U,. b) Show that {U} is not stationary. - c) Let V₁ = U₁ –U₁₁. Show that {v} is stationary. d) Find the autocorrelation function for {V₁}.