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Drahtlose Kommunikation – WS 2015/16 – Assignment 1 1/1

Excercise 7

A mobile terminal uses a λ/4 monopole antenna with an antenna gain of 3 dB. The carrier frequency is 900 Mhz.

(For simplification assume speed of light to be: 3 * 108 m/s)

a) What is the antenna length of the mobile terminal?

λ=

3⋅108m s 900⋅1061

s

=0,333m=33,3cm

⇒ λ4=8,33cm

b) What is the effective area of the antenna at an idealized efficiency factor of 100% ?(see exercise 4, assignment 1)

G=4πA

λ2 ⇔ A=Gλ2 4π A=10

3

10⋅(0,333m)2

4π =0,0176m2

c) What is the received power at the mobile terminal according to Friis free-space path loss, if the cellular base station is located at 2 km distance and transmits with 10 Watt power and has an antenna gain of 3 dB. (Assume L=1)

Friis free space equation: PRX=PTX⋅GT⋅GR( λ 4πd L)2 PRX=10W⋅(10

3

10)2⋅

(

40,333π⋅2⋅10m3m

)

2=7,0⋅10−9W=−81,5dBm

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