{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MidTerm2005

# A what condition must hold for the vector v such that

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: * What condition must hold for the vector v such that y 2 im fH g? In the following assume that y 62 im H . Now consider the following optimization problem: min ky , Hxk2 ; 2 x b* How is the solution x of the optimization problem given in 2 called? 2 Name: Matr.-Nr.: 2 Let us now consider instead the following optimization problem: min J x x 3 xopt = H HW HWH ,1H HW HWy 4 where J x = kWy , WHxk2 and W 2 C mm is a positive de nite matrix. 2 @J x = 0, the solution to the optimization problem given in c* Show that by solving @ x 3 can be expressed as follows: Name: d* Compute Jmin = J xopt . Matr.-Nr.: 3 Name: Matr.-Nr.: 4 Task 26 pts Consider the following AWGN additive white Gaussian noise channel s with y n y =s+n 5 where s; n; y 2 C M with the transmitted signal s having zero mean and being uncorrelated with theon...
View Full Document

• Winter '12
• TUM
• Singular value decomposition, mean square error, optimization problem, Array Signal Processing, Josef A. Nossek, Munich University of Technology

{[ snackBarMessage ]}

Ask a homework question - tutors are online