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**Book used is: Wireless Communications, Andrea Molisch, Wiley and Sons. ****The Problems are from the book, end of the chapter problems. This book has a solution manual. I could not find it in the web. ****Chapter 17: ****Multiple Access and the Cellular Principle - **Problem1 and 2

1. An analog cellular system has 250 duplex channels available (250 channels in each direction).

To obtain acceptable transmission quality, the relation between reuse distance (*D*) and cell radius

(*R*) has to be at least *D/R *= 7. The cell structure is designed with a cell radius of *R *= 2km.

During a busy hour, the traffic per subscriber is on average one call of 2-minute duration. The

network setup is modeled as an Erlang-B loss system with the blocking probability limited to 3%.

- Calculate the following:

(i) The maximal number of subscribers per cell.

(ii) The capacity of the network in Erlangs/km2. (Assume that the cell area is *A*cell = *pR*2.)

(b) The analog system above is modernized for digital transmission. As a consequence, the

channel separation has to be doubled – i.e., only 125 duplex are now available. However,

digital transmission is less sensitive to interference and acceptable quality is obtained for*D/R *= 4. How is the capacity of the network affected by this modernization (in terms of

Erlangs/km2)?

(c) To increase the capacity of the network in B, the cells are made smaller, with a radius of

only *R *= 1 km. How much is capacity increased (in terms of Erlangs/km2) and how many

more BSs are required to cover the same area?

2. A system specifies a blocking level to be less than 5% for 120 users each with an activity level

of 10%. When a user is blocked, it is assumed to be cleared immediately – i.e., the system is

an Erlang-B system. Assume two scenarios: (i) one operator and (ii) three operators. How many

channels are needed for the two scenarios?

Answered Same DayDec 20, 2021

2. A system specifies a blocking level to be less than 5% for 120 users

each with an activity level of 10%. When a user is blocked, it is assumed

to be cleared immediately – i.e., the system is an Erlang-B system.

Assume two scenarios: (i) one operator and (ii) three operators. How

many channels are needed for the two scenarios?

Now 120 users

So T tr = 120 *0.1 = 12

One has to find Nc : Number of channels

It can be clearly observed that as the number of channels increases the

capacity to...

each with an activity level of 10%. When a user is blocked, it is assumed

to be cleared immediately – i.e., the system is an Erlang-B system.

Assume two scenarios: (i) one operator and (ii) three operators. How

many channels are needed for the two scenarios?

Now 120 users

So T tr = 120 *0.1 = 12

One has to find Nc : Number of channels

It can be clearly observed that as the number of channels increases the

capacity to...

SOLUTION.PDF## Answer To This Question Is Available To Download

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