Question 5 5 pts In a space-diversity system, there are three antennas (X, Y, Z} placed at a base-station radiating the same RF signal. They are operated proportionally to the extents of x %, y% and 2% respectively. A mobile receiver gets usable signal from any of the aforesaid antennas depending on its mobility {location}; also, the receiver may experience nonusable, lowlevel signal [LLS} at its input caused by temperaturedependent random noise and propagationdependent RF signal coming from the antennas ix, Y, Z} in the proportion 1:2:3 respectively. The RF frontend of the mobile receiver has two cascaded ampliers A1 and A2. Suppose 61 and G; denote power gains [in dB} of the ampliers A1 and A2 respectively and F1 and F2 represent the associated noise factors. Relevant to uctuating noiseplus signal level at the input, the related performance degradation (due to possible LLS indicated above) has the associated prior probability piLLS) of receiving unusable LLS due to the radiation from X orY or 2. Further, piXHLLS) denotes conditional probability, as regard to the signal from X and the LLS state is observed; and, the probability of error, pie} in wrongly specifying the observed LLS as due to reception from X in lieu of the actual reception being due to '1'. Assume the following: {x = 30 96; y = 35 96 ; and, 2 = 35 36}, [(51 = 25 dB, 62 = 35 dB, F1 = 1.5, F; = 1.8} Choose the correct set of answers in the multiplechoices listed as regard to: - piLLS) pinLLS} Error probability, pie} in wrongly specifying the observed LLS as due to reception from X in lieu of the actual reception is due Y. o Inverse probability depicting the chance of observing the state, LLS as due to the reception from, Z: piLLS/Z} o Overall noise gure {NF} of the cascade set of amplifiers [A1 and A2} in dB Multiplechoices on the answerset Choices plLLS} {ii} plX/ LL51 (iii) pie} {iv} piLLSJZ} iv} NF (in dB) 1 0.3389 0.196? 0.3333 0.4444 1.83 2 0.3083 0.1?62 0.3543 0.4230 1.59 3 0,3581 0.1863 0. 3433 0.4100 1.68 4 03282 0.1 162 0.33 14 0.4000 1.88 5 0.3099 0.1882 0.3295 0.4444 1.81 0 Choice 1 0 Choice 1 0 Choice 1 0 Choice 1