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WLS 610
Cellular and PCS 1
Assignment # 1
Q1. For AMPS Specs, calculate the channel frequencies of the following channels in
Forward and Reverse directions.
25, 42, 68, 1010
Q2. The frequency spectrum assigned to a Cellular operator is 25 MHz. Half will be
used for Forward channels and half for Reverse Channels. The Channel BW is 25 KHz.,
and the radius of the coverage area is 50 Km. With no Frequency Reuse, calculate:
(a) Total # of available channels.
(b) Total coverage area
(c) The # of channels in the forward and Reverse direction
(d) The maximum # of simultaneous calls, this Network can support
Q3. For Q2, assume the Network decides to reuse the frequency with K=7 and a cell
radius of 5 Km. Calculate:
(a)
(b)
(c)
(d)
(e)
Area of each cell
The number of cells in the Network
The number of available channels/cell
Total # of available channels for the region
The Maximum # of simultaneous calls the network can now support
Q4. If a transmitter produces 50 W of Power, express the transmit power in units of
dBm and dBW. If 50 watts is applied to a unity gain Antenna with a 9ooMHz carrier
frequency, find the received power in dBm at a free space distance of 100m from the
antenna. What will be the received power at 10Km from the transmit Antenna?. Assume
unity gain for the received antenna.
Q5. Calculate the path loss using Hata equation in the urban area at a frequency of
890MHz. The height of the transmitting Antenna is 30m and the receiving antenna is 3m.
The distance between the transmitter and the receiver is 5KM..
Q6. Assume a receiver is located 10KM from a 50W transmitter. The carrier
frequency is 900MHz, free space propagation. Gt=1, Gr=2. Find
(a)
The power a t the receiver
(b)
The magnitude of the E-field at the receiver
(c)
The rms voltage induced in the receiving antenna with 50 ohm pure
resistance.
Q7. Calculate the distance between the cell sites using the same channel complements,
if the radius of the cell sites is 6Km and the reuse factor is 5.
Hyder Khoja
Page 1
6/27/2017
Q8. An urban area has a population of 2 million. Three competing trunked Mobile
Networks (such as Bell Mobility, Telus and Rogers) provide service in this area. Assume
Bell Mobility has 394 cells with 19 channels for each cell. Telus has 98 cells with 57
channels each. Rogers has 49 cells with 100 channels each. Note that these numbers are
fictitious. Find the number of users that can be supported with 2% blocking, if each user
averages 2 calls per hour at an average duration of 3 minutes. Assuming all 3 Networks
are operating at maximum capacity, calculate the percentage market share of each.
Q9. A certain city has an area of 1300 Square miles and is covered by a Cellular
system using a 7 cell reuse pattern. Each cell has radius of 4 miles and the city is
allocated 40 MHz of spectrum with a full duplex channel BW of 6oKHz. Assume a GOS
of 2 % is specified for an Erlang B System. If the offered traffic per user is 0.03 Erlangs,
compute:
(a)
The number of cells in the service area.
(b)
The number of channels per cell.
(c)
The traffic intensity of each cell
(d)
The maximum carried traffic
(e)
The total number of users that can be served for 2% GOS
(f)
The number of Mobiles /channel
(g)
The theoretical maximum number of users that can be served at one time by
the system
Hyder Khoja
Page 2
6/27/2017