midterm_spr06

Midterm_spr06 - EE 562a Midterm Exam 1 March 2006 WRITE YOUR NAME on the exam paper and indicate if you are an ON-CAMPUS or DEN student You may use

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EE 562a Midterm Exam, 1 March 2006 WRITE YOUR NAME on the exam paper, and indicate if you are an ON-CAMPUS or DEN student. You may use a simple calculator (i.e., not a scientific calculator), and one letter-sized sheet of notes (both sides). Do all problems. Note that these problems have different point values, and differ widely in difficulty. You should look over all the problems before starting your work. Write all answers on the test paper. You may use scratch paper to do the problem, but the answer must be written with the problem. If you do work on scratch paper, and wish that work to be considered for partial credit, hand in the scratch paper along with the exam. Part I. Basic Concepts. For each question in this section, circle the best answer from the choices listed. Each problem has only one best answer. There is no partial credit on this section. (3 points each.) 1. Let x ( u ) and y ( u ) be random variables such that E { x ( u ) } = E { y ( u ) } = E { x ( u ) y ( u ) } = 0. Then we can say that x ( u ) and y ( u ) are: (a) Uncorrelated (b) Orthogonal (c) Independent (d) All of the above (e) Both (a) and (b) 2. Which of the following is a linear transformation? (a) x → | x | , x R (b) ( x,y ) ( xy,y - 2 x 2 ) (c) x ( u ) 2 E { x ( u ) } (d) ( w,x,y, z ) ( w - z,x + y - w + 3) 3. Which of the following could be a covariance matrix K xx * ?
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This note was uploaded on 05/06/2008 for the course EE 562a taught by Professor Toddbrun during the Spring '07 term at USC.

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Midterm_spr06 - EE 562a Midterm Exam 1 March 2006 WRITE YOUR NAME on the exam paper and indicate if you are an ON-CAMPUS or DEN student You may use

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