Question

QUESTION 21 A periodic signal wic with period To-2 is shown below (note: only two pulses are shown). -T0/2 -To/4 0 To/4 T0/2 The signalhas CTFS coefficients (e. w g lven as 1/2 1 0 Using the time domain, the average power of wit) over 1 period is 1 1/2 Correct answer nat given QUESTION 22 With weglven in Question 21, consider a new signal wi(t) - 10wt 5) with FS coefficients wo o . Which is true about on? =D De 2 tg - 5 Correct answer nat given QUESTION 23 It is desired to use a finite number of FS coefficients to represent wit) given in Question 21. If the synthesis equation for the estimate is designated as a = 2 y k, what is the average power of ? Pg-0.1752 Por=0.5 Po -0.2026 Por=D.4926 Correct answer not given

Answer 1

tult) To To -To -Tol o 18/4 will = ' § ¢ ;- To sets ; otherwise periodic signed with period T= To = 0 Arnage power of the signal a . tim Toto t o , falt) / dt this & lim Toto I To To o home to (13] len 1) ... Anuage power of the signed is

mit = 10 wlt-5) formin series | Time sluifting property of alt) < Foby ak alt-to) < ES, e j k wo to a W,1H = 10 wll-s) wit) (fis ak wit-s) (F-S , ejkwols), ak - 10 ult-s) Las 10 e ak js kwo wilth has fournies schis bu 'bk = 10 éjskwo = 10.20 = 10 (3) = 5 bo = 10 é°. Q [6=5] is =r Ž ak elkwot estimated power between 2 sk <2 given by parseits identity Pov - Ž up?= Healita.) i molata, .12 = 1087+1+3 + 1 2 1 ² + 1/4 2 4 0² Taw = 0.4526] - k=-2 -0.4526 Tai