This problem is motivated by estimation in communication systems [Wi-Fi. cellphonesI etc}. The solution obtained in this problem is implemented real-time in many communication systems. For example, your laptop Wi-Fi adapter. which is downloading and uploading all the content that you are consumlng In thls course, is performing this estlmation [albelt in a more complicated statistical model] tens of hundreds of times every second. Let cos (3) sin (9') x: be a known vector, i.e. we assume that we know 9. Let 9 E [(1, #2]. Let Y]. ,Yn be dened as follows: ml+w _ = 1":"=sin(9+)'1_1"\"'"' where If H M13). 0212) for a known 0'2 and it: is an unknown constant. Assume that EM = 1, ,n are independent. Objective: Upon observing \"J = l. ,n. we wish to produce an estimate '3 ofqb E [1133]. (a} True or False 1 point possible {gradedr results hidden) Select whether the following statement is true or false: \"Y1 are lid." True ' False gllhm I You have used 0 of 3 attempts Save (b) The Underlying Problem 1 point possible [graded results hidden} Referring to the objective in the problem setup glven above, select from the following the statements that are correct. {Choose all that apply.) " We are trying to estimate the magnitude by which it is scaled (in the presence of vector Gaussian noise). We are trying to estimate the phase rotation undergone by x (in the presence of vector Gaussian noise]. We are trying to estlmate the magnitude and phase changes undergone by x {in the presence of vector Gaussian noise]