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Cdma.py
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167 lines (136 loc) · 5.5 KB
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import numpy as np
import math
import random
#Constantes
Walsh = np.array([[1, 1, 1, 1, 1, 1, 1, 1],
[1, -1, 1, -1, 1, -1, 1, -1],
[1, 1, -1, -1, 1, 1, -1, -1],
[1, -1, -1, 1, 1, -1, -1, 1],
[1, 1, 1, 1, -1, -1, -1, -1],
[1, -1, 1, -1, -1, 1, -1, 1],
[1, 1, -1, -1, -1, -1, 1, 1],
[1, -1, -1, 1, -1, 1, 1, -1]])
Walsh_16=np.array([[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],
[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1],
[1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1],
[1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1],
[1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1],
[1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1],
[1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1],
[1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1],
[1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1],
[1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1],
[1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1],
[1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1],
[1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1],
[1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1],
[1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1],
[1, -1 , -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1]])
Key_1=Walsh[1]
Key_2=Walsh[2]
Key_16_1=Walsh_16[1]
Key_16_2=Walsh_16[2]
#------------------------------------------------------------------------------#
def Message_Spreader(message,size):
#Etale le message sur longeur message * longueur code de Walsh
Spreaded = []
for i in range (len(message)):
for j in range (0,size):
Spreaded.append(message[i])
return Spreaded
def Message_Encoder (Spreaded , key):
#fait un XOR entre le message etale et le code de Walsh de l'utilisateur
Encoded = []
for i in range (len(Spreaded)):
result = xor(Spreaded[i] , key[i% len(key)])
Encoded.append(result)
return Encoded
def xor (a,b):
#Redefinition de l'operation xor en tenant compte des "-1"
if a == 0 or b == 0:
return 0
elif (a == b):
return -1
return 1
def Volt_Encoder(Encoded):
#Permet de faire le mapping entre une valeur binaire et une plage de volt
Volt_Encoded = []
for i in range (len(Encoded)):
volt = random.uniform(0.05,1)#(0.5,1.5)
if Encoded[i]==1:
volt = -volt
Volt_Encoded.append(volt)
return Volt_Encoded
def Noise_Generator(size, niveau_bruit):
#Genere un bruit aleatoire de la meme longueur que le message
Noise = []
for i in range (0,size):
Noise.append(niveau_bruit*random.uniform(-1,1))
return Noise
def Multiplexing (User_1 , Noise):
Traffic = []
Traffic = AddVector(User_1,Noise)
return Traffic
def BER (Input , Output):
#Calcule le Bit Error Rate
error = 0
for i in range (0,len(Output)):
if Input[i] != Output[i]:
error += 1
return error
#--------------------------------------------------------------------------------------#
def text_to_bits(text, encoding='utf-8', errors='surrogatepass'):
#Convertit un texte en train binaire
bits = bin(int.from_bytes(text.encode(encoding, errors), 'big'))[2:]
return bits.zfill(8 * ((len(bits) + 7) // 8))
def text_from_bits(bits, encoding='utf-8', errors='surrogatepass'):
#Convertit un train binaire en texte
n = int(bits, 2)
return n.to_bytes((n.bit_length() + 7) // 8, 'big').decode(encoding, errors) or '\0'
def binaire_to_ternaire(binaire):
#Convertit un train binaire en train ternaire (-1,0,1)
temp = [int(x) for x in list(binaire)]
Ternaire = [-1 if x==0 else 1 for x in temp]
return Ternaire
def ternaire_to_binaire (ternaire):
#Convertit un train ternaire en train binaire
temp = pop_zeros(ternaire)
temp1 = [0 if x==-1 else x for x in temp]
temp2 = [str(i) for i in temp1]
ternaire = ''
ternaire = ternaire.join(temp2)
return ternaire
#__________________________________________________________________________________________________#
def User_sending (txt,key):
return Volt_Encoder(Message_Encoder(Message_Spreader(binaire_to_ternaire(text_to_bits(txt)),len(key)),key))
def Back_to_text(received):
temp1 = [0 if x==-1 else 1 for x in received]
temp2 = [str(i) for i in temp1]
ternaire = ''
ternaire = ternaire.join(temp2)
return(text_from_bits(ternaire))
def Decoder_1(Traffic,key):
Decoded = []
Received = []
for i in range(0, len(Traffic), len(key)):
temp= Traffic[i:i + len(key)]
result = np.inner(temp,key)
Decoded.append(result/len(key))
for x in range (len(Decoded)):
if (Decoded[x]>0):
i=1
elif (Decoded[x]<0):
i=-1
else :
i=random.randint(-1,1)
Received.append(i)
return Received
def AddVector(a, b):
added = []
for i in range(min(len(a), len(b))):
added.append(a[i]+b[i])
if (len(a) > len(b)):
added = added + a[i+1:]
elif (len(b) > len(a)):
added=added + b[i+1:]
return added