In [1]:

```
import math
#Variable declaration
D=10000; #in metres
TxEIRP=30; #Effective Isotropic Radiated Power(EIRP)dBW
lamda=0.2; #in metres
Pt=10; #Transmitted power in dBW
Gt=20; #transmitter gain in dBi
Gr=3; #receiver gain in dBi
Lo=6;#total system lossses in dB
Nf=5; #noise figure in dB
BW=1.25; #mHz
k=1.38*10**-23; #Boltzmann constant
T=290; #temperature in degree kelvin
#Calculations
Lp=20*math.log10(lamda/(4*math.pi*D)); #free space loss
Pr=Lp+Pt+Gt+Gr-Lo;# received power in dBW
No=10*math.log10(k*T); #Noise density in dBW
NO=No+30; #factor of '30' to convert from dBW to dBm
Pn=Nf+10*math.log10(BW*10**6)+NO;# noise signal power in dBm
SNR=(Pr+30)-Pn;
#Results
print 'The received signal power is %d dBm'%(round(Pr+30)); #factor of '30' to convert from dBW to dBm
print 'SNR is %d dB'%SNR
```

In [2]:

```
import math
#Variable declaration
#As we have to use data from Eg 10.1,
D=10000; # in metres
TxEIRP=30; #Effective Isotropic Radiated Power(EIRP)dBW
lamda=0.2; #in metres
Pt=10; #trasmitted power in dBW
Gt=20; #transmitter gain in dBi
Gr=3; #receiver gain in dBi
Lo=6;#total system lossses in dB
Nf=5; #noise figure in dB
BW=1.25; #mHz
k=1.38*10**-23; #Boltzmann constant
T=290; #temperature in degree kelvin
#additional data given in this eg
hr=40.; #height of receiver in metre
ht=2; #trasmittter antenna height in metres
#Calculations
Lp=20*math.log10(hr*ht/D**2);
Pr=Lp+Pt+Gt+Gr-Lo;# received power in dBW
No=10*math.log10(k*T); #Noise density in dBW
NO=No+30; #factor of '30' to convert from dBW to dBm
Pn=Nf+10*math.log10(BW*10**6)+NO;# noise signal power in dBm
SNR=(Pr+30)-Pn;
#Result
print 'The received signal power is %d dBm'%(round(Pr+30)); #factor of '30' to convert from dBW to dBm
print 'SNR is %d dB'%SNR
```

In [3]:

```
import math
#Variable declaration
Pin=12.; #Input power in watts
Ploss=3; #resistive losses in Watts
D=5; #Directivity
#Calculations
Eff=(Pin-Ploss)/Pin;
G=Eff*D;
#Results
print 'Gain of the antenna is %.2f dB = %.2f'%(10*math.log10(G),G);
```

In [4]:

```
#Variable declaration
G=12.; #Gain of antenna in dBi
#Calculations
Theta=101.5/10**(G/10);
#Result
print 'The 3-dB beam width of a linear element antenna is %.1f degrees'%Theta
```

In [6]:

```
import math
#Variable declaration
N=12; #number of turns
fr=1.8; #frequency in GHz
#Calculations
lamda=3*10**8/(fr*10**9);
DH=lamda/math.pi;# diameter of helix in milli-meters
S=lamda/4;#turn spacing in millimetres
L=N*S;
G=15*N*S*(DH*math.pi)**2/lamda**3;
Theta=52*lamda/(math.pi*DH)*math.sqrt(lamda/(N*S));
#Results
print 'The optimim diameter is %d mm'%(DH*1000);
print 'Spacing is %.1f mm'%(S*1000);
print 'Total Length of antenna is %d mm'%(L*1000);
print 'The antenna gain is %.1f dBi'%(10*math.log10(G));
print 'The BeamWidth of antenna is %d degrees'%Theta
```

In [7]:

```
#Variable declaration
E0=1000.; #average SNR
Eg=10; #threshold value for SNR
M=3; #3-Branch Combiner
e=2.71828; #Euler's number
#Calculations&Results
x=Eg/E0;
P3=(1-e**(-x))**M; #Considering 3-branch selection combiner
print 'By considering 3-branch selection combiner technique, probability comes to be %.e'%P3;
P1=(1-e**(-x));#M=1;
print ' BY not considering diversity technique, probability comes to be %.e'%P1;
```

In [8]:

```
#Variable declaration
SR=3.84; #spreading rate in Mcps
#Calculations
ChipDur=1./(SR*10**6);
Speed=3*10**8;
Dd=ChipDur*Speed;
#Result
print 'Minimum delay distance to successfully resolve the multipath components and operate the Rake receiver is %d m'%Dd
```