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Text: Wireless Communication Andrea Molisch. Problem-1 Problem-2 Problem-3 Problem-4 Problem-5 Problem-6

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Text: Wireless Communication Andrea Molisch. Problem-1
Problem-2
Problem-3
Problem-4
Problem-5
Problem-6
Answered Same Day Dec 21, 2021

Solution

David answered on Dec 21 2021
121 Votes
Text: Wireless Communication Andrea Molisch. Problem-1
Answer:
a)At the input we need to consider both Man-made noise and the thermal noise.
Thermal Noise = k*To= -174 dBm/Hz
Since, noise powers cannot be added in dB , we convert them to mW/Hz.
Thermal noise: No= 10
-(174/10)
mW/Hz = 4.00 x 10
-18
mW/Hz
Man-made noise: Nmm= No, dBm/Hz +10 dB = -164 dBm/Hz = 10^(-164/10 )mW/Hz = 3.981*10
-17
mW/Hz
Adding the two noises, 4.00 x 10
-18
+ 3.981*10
-17
mW/Hz = 4.3981*10
-17
mW/Hz = -163.5676 dBm/Hz
BandWidth: 10 * log10(2 * (10^6)) = 63.0103 dB
Input Noise: Nin = No + Nmm + 10log10(B) = -163.5676+63.0103 = -100.5573 dBm
Ca
ier to Noise ratio: (CNRin) = Cin –Nin = (-85 dBm) – (-100.5573 dBm) =15.5573 dB
)
Taking care of inter-conversions between dB and non dB values,
F= 10
(NF/10)
= 10
(6/10)
= 3.981
Eq. system noise at IP: N1 = (F-1)No = (3.981-1)*(4.00 x 10
-18
mW/Hz)= 1.1924*10
-17
mW/Hz
Equivalent noise at IP: No+N1=4.00 *10
-18
mW/Hz +1.1924*10
-17
mW/Hz =1.5924 *10
-17
mW/Hz
Equivalent noise at IP in dB:
= 10*log10(No+N1) = -167.98 dBm
=No,dB+NF =-174dBm+6dB= -168dBm
c) Total:
Nt = No + Nmm + N1 = 4.00 x 10
-18
+ 3.981*10
-17
mW/Hz + 1.1924*10
-17
mW/Hz =5.5734 x 10
(-17)

mW/Hz = -162.5387 dBm/Hz
noise_ip_eq_dB=noise_total_dB+bandwidth_dB=-160.3611 +63.0103 = -97.3508 dBm/Hz
Even the system noise, which is above the thermal noise by a little less than the
noise figure, is not too significant here.
d) For this we need to send the desired signal and all the noise (NT) through the amplifier. The
calculations are easily done in dB. Remember when computing ca
ier-to-noise ratios, you must compute
the noise in the system bandwidth.
Nout= Nt + G + 10log(B) = -162.5387 dBm/Hz + 12 dB + 63.0103 dB-Hz= -87.5284 dBm
Cout= Cin + G = -87.5284 dBm + 12 dB = -75.5284 dBm
CNRout= (-69 dBm) - (-80.5899 dBm) = + 11.5899 dB
Problem-2
Answer:
Given: Frequency reuse factor = Nr
Cell Length = 2r
Let...
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