Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
P1
Q7. 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 (x(p)) Hy(p) ||x (p)||2 where x(p), y(p) are the vectors of length L corresponding to the transmitted and the received pilot symbols. Here (.) corresponds to the hermitian operator. has an optimal solution given by : =
Transcribed Image Text:Q7. 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 (x(p)) Hy(p) ||x (p)||2 where x(p), y(p) are the vectors of length L corresponding to the transmitted and the received pilot symbols. Here (.) corresponds to the hermitian operator. has an optimal solution given by : =
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS