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Problem I Consider a digital communication downlink from a cellular tower to a cellular telephone. The link operates at a frequency of 900 MHz and the tower transmits at an EIRP100 Watts. The height of the tower is 35 meters and it is assumed that the height of the phone is 2 meters. The gain of the cellular phone antenna s 3 dB. Assume that the cellular phone requires a minimum receive power, P(min), of 1.5 x 109 Watts. a) Calculate the maximum operating range, d, of the downlink from the tower to the cellular telephone assuming free-space propagation (i.e. ignore the presence of the b) Calculate the crossover range between where the plane-earth model is valid and c) Calculate the actual maximum operating range of the cellular tower-phone d) If the operating frequency is increased to 1.9 GHz (the PCS band), what is the earth) where the free-space model is valid. communication downlink. new maximum operating range (assuming all other parameters remain constant)?

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