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ASSIGNMENT: 2 Mobile Radio Channels (EE665) 1. Assuming a receiver is located 10 km from a 50 W transmitter. The carrier frequency is 1900 MHz, free space propagation is assumed, Gt 1 , Gr 2, find: a) The power at the receiver b) The magnitude of the E- field at the receiver re ceiver antenna. c) The open circuit rms voltage applied to the receiver input assuming that the receiver antenna has a purely real impedance of 50 Ω and is matched to the receiver. d) Find the received power at the mobile using the two ray ground reflection model assuming the height of the transmitting antenna is 50 m, receiving antenna is 1.5 m a bove the ground, and the ground reflection is -1. 2. For the two- ray model with transmitter- receiver r eceiver separation d = 100 m,
hT 100
metres, and
h R 2
metres, find the delay spread between the two signals. 3. Consider an indoor wireless LAN with carrier frequency 900MHz, cells of r adius 10 m, and nondirectional antenna. Under the free space path loss model, what transmit power is required at the access point in order for all terminals t erminals within the cell to receive a minimum power of 10 W? How does this change if the system frequency is 5 GHz.
4. Show that the Brewster angle ( case where 2
Sin i
r
v
= 0 ) is given by where i
r
r 2 1
5. (a) Explain the advantages and disadvantages of the 2- ra y ground reflection model in the analysis of path loss. (b) In the following cases, tell whether the 2 ray model could be applied, and explain why or why not: hT 35
m
h R
3 m d = 250 m
hT 30
m
h R
1.5 m d = 450 m
(c) What insight does the 2 ray model provide about large – large – scale scale path loss that was disregarded when cellular systems used very large cells? 6. In a 2- ray ground reflection model, assume that must be kept below 6.261 radians for phase
cancellation reasons. Assuming a receiver height of 2 m, and given a requirement that be less i
than 5 , what are the minimum allowable values for the T-R separation distance and the height of the transmitter antenna? The carrier frequency is 900 MHz. Refer to Figure P3.3. 7. In the 2- ray path loss model with signal nulls at the receiver.
1 ,
derive an appropriate expression for the location of the
