Question 3 A base station transmits a power of 10 W into a feeder cable with a loss of 10 dB. The transmit antenna has a gain of 14.15 dBi. The

mobile receiver had a gain of 2.15 dBi and a feeder loss of 2 dB. If the mobile receiver has a noise power of -114 dBm and the required signal-to-noise ratio is at least 10 dB: a) What is the maximum acceptable path loss (in dB) in space? [Hint: This is a simple example of a link budget analysis for a wireless communication system. In doing this, it is the best to work with dB terms. Note that 'path loss' is the difference between the radiated power (in dBm) from the transmitting antenna and the received power (in dBm) at the aperture of the receiving antenna.] [5 marks] b) Under free space propagation model at 900 MHz, what is the maximum range of the communication system? [8 marks] c) Assume the mobile antenna is at a height of hm = 1.5 m, the base station antenna is at a height of h₂ = 30 m. Also assume the distance-dependent path loss is determined by the two-ray ground reflection model. If the system needs to allow a margin of 15 dB, what is the range of the base station? [12 marks] Your submission should include: A detailed description of your workout, including any calculations. There is no requirement to use MATLAB. But if you do, any calculations should also be fully explained in the word document. Make sure to use the units carefully and correctly.