8/12/2019 Wireless Communication Assignment-1

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Wireless Communication

Assignment-1

1. If a total of 33 MHz of bandwidth is allocated to a particular FDD cellular

telephone system which uses two 25 Hz simple! channels to pro"ide full

duple! "oice and control channels# compute the number of channels a"ailable

per cell if a system uses $a% four&cell reuse# $b% se"en&cell reuse# and $c% 12&cell

reuse. If 1 MHz of the allocated spectrum is dedicated to control channels#

determine an e'uitable distribution of control channels and "oice channels in

each cell for each of the three systems.

2. If a si(nal&to&interference ratio of 15 d) is re'uired for satisfactory forward

channel performance of a cellular system# what is the fre'uency reuse factor

and cluster size that should be used for ma!imum capacity if the path loss

e!ponent is $a% n * +# $b% n * 3, -ssume that there are si! cochannel cells in

the first tier# and all of them are at the same distance from the mobile. se

suitable appro!imations.

-ns/ $a% 0 *# $b% 0 * 12

3. -n urban area has a population of two million residents. hree competin(

truned mobile networs $systems -# )# and % pro"ide cellular ser"ice in this

area. 4ystem - has 3+ cells with 1 channels each# system ) has 6 cells

with 5 channels each# and system has + cells# each with 177 channels.

Find the number of users that can be supported at 28 blocin( if each user

a"era(es two calls per hour at an a"era(e call duration of three minutes.

-ssumin( that all three truned systems are operated at ma!imum capacity#

compute the percenta(e maret penetration of each cellular pro"ider.

+. - certain city has an area of 1#377 s'uare ilometers and is co"ered by acellular system usin( a se"en&cell reuse pattern. 9ach cell has a radius of four

ilometers and the city is allocated +7 MHz of spectrum with a full duple!

channel bandwidth of :7 Hz. -ssume a ;

8/12/2019 Wireless Communication Assignment-1

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a% Determine the ma!imum carried traffic per cell if cluster sizeN * + is used.

?epeat for cluster sizesN * and 12.

$b% Determine the ma!imum number of users that can be ser"ed by the system

for a blocin( probability of 18 and cluster sizeN * +. ?epeat for cluster

sizesN * and 12.

. @et us consider a medium sized city the M4 is transmittin( with power 2

>atts. he reference sensiti"ity of the )4 is A17+ d)m# but it can pro"ide 12

d) antenna and di"ersity (ain# so that the minimum acceptable recei"ed power

is A11: d)m. he carrier fre'uency is f *77 MHz# the hei(ht of base station

antenna is h) *57m.and the hei(ht of mobile antenna is hm*1.5m. Determine

the ma!imum cell radius.