P1 Q7.Consider the wireless channel model given as y(n) = hx(n) + w(n). Show that the leastsquare channel estimate ĥ, represented ash = arg min ||y(P) - hx(p)||²h(x(p)) Hy(p)||x (p)||2where x(p), y(p) are the vectors of lengthL corresponding to the transmitted and the received pilot symbols. Here (.) correspondsto the hermitian operator.has an optimal solution given by :=

As per the question we are given an least-square optimization problem where we have to find the…

Consider the wireless channel model given as y(n) = hx(n) + w(n). Show that the least square channel estimate ĥ, represented as h= = arg min ||y(P) - hx(p)||² h has an optimal solution given by h (x(p)) Hy(p) = where x(p), y(p) are the vectors of length ||x(p)||2 L corresponding to the transmitted and the received pilot symbols. Here (.) corresponds to the hermitian operator.

Consider the wireless channel model given as y(n) = hx(n) + w(n). Show that the least square channel estimate ĥ, represented as h= = arg min ||y(P) - hx(p)||² h has an optimal solution given by h (x(p)) Hy(p) = where x(p), y(p) are the vectors of length ||x(p)||2 L corresponding to the transmitted and the received pilot symbols. Here (.) corresponds to the hermitian operator.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 32EQ

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