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MLSE Dynamic.py
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import question_1
import question_2
import math
import matplotlib.pyplot as plt
import random
from termcolor import colored
uniformNumber = question_1.PRNG()
noiseNumber = question_2.GRNG()
# Comment
class MLSE:
def __init__(self, bits, numM):
self.N = 200
self.rt = [] # [[0 for x in range(200)] for y in range(15)]
self.s = []
self.delta = []
self.alpha = []
self.cStatic = [complex(0.89, 0.92), complex(0.42, 0.37), complex(0.19, 0.12)]
self.cDynamic = [complex(0, 0), complex(0, 0), complex(0, 0)]
self.total = bits
self.bits = []
self.symbols = []
self.rk = []
self.transmittedSymbols = []
self.transmittedBits = []
self.SNR = 0
self.Eb = 0
self.N0 = 0
self.sigma = 0
self.M = numM
self.bitErrorCount = 0
self.symErrorCount = 0
self.BER = [0] * 20
self.BERn = [0] * 20
self.BERd = [0] * 20
self.SER = [0] * 20
self.SERn = [0] * 20
self.SERd = [0] * 20
def binary(self):
temp = random.random()
if temp > 0.5:
self.bits.append(1)
else:
self.bits.append(0)
def newDynamic(self):
self.cDynamic = [complex(random.gauss(0, 1), random.gauss(0, 1)) / (math.sqrt(2 * 3)),
complex(random.gauss(0, 1), random.gauss(0, 1)) / (math.sqrt(2 * 3)),
complex(random.gauss(0, 1), random.gauss(0, 1)) / (math.sqrt(2 * 3))]
# ----------------------------------------------------------------
# Initialize
# ----------------------------------------------------------------
print("Start")
BPSK = MLSE(2000, 2)
QAM4 = MLSE(4000, 4)
PSK8 = MLSE(6000, 8)
print(1)
# ----------------------------------------------------------------
# Set Bits and Symbols
# ----------------------------------------------------------------
for i in range(0, BPSK.total):
BPSK.binary()
length = len(BPSK.bits)
if BPSK.bits[length - 1] == 1:
BPSK.symbols.append(1)
else:
BPSK.symbols.append(-1)
print(2)
# print("BPSK Bits: " + str(BPSK.bits))
# print("BPSK Symb: " + str(BPSK.symbols))
# print()
# Setting bits and symbols
duo = [0] * 2
for i in range(QAM4.total):
QAM4.binary()
duo[i % 2] = QAM4.bits[i]
if (i % 2 + 1) == 2:
if duo[0] == 0 and duo[1] == 0:
QAM4.symbols.append(complex(1 / math.sqrt(2), 1 / math.sqrt(2)))
elif duo[0] == 0 and duo[1] == 1:
QAM4.symbols.append(complex(-1 / math.sqrt(2), 1 / math.sqrt(2)))
elif duo[0] == 1 and duo[1] == 1:
QAM4.symbols.append(complex(-1 / math.sqrt(2), -1 / math.sqrt(2)))
elif duo[0] == 1 and duo[1] == 0:
QAM4.symbols.append(complex(1 / math.sqrt(2), -1 / math.sqrt(2)))
# print("4QAM Bits: " + str(QAM4.bits))
# print("4QAM Symb: " + str(QAM4.symbols))
# print()
print(3)
# Setting bits and symbols
tri = [0] * 3
for i in range(PSK8.total):
PSK8.binary()
tri[i % 3] = PSK8.bits[i]
if (i % 3 + 1) == 3:
if tri[0] == 0 and tri[1] == 0 and tri[2] == 0:
PSK8.symbols.append(complex(-1 / math.sqrt(2), -1 / math.sqrt(2)))
elif tri[0] == 0 and tri[1] == 0 and tri[2] == 1:
PSK8.symbols.append(complex(-1, 0))
elif tri[0] == 0 and tri[1] == 1 and tri[2] == 1:
PSK8.symbols.append(complex(-1 / math.sqrt(2), 1 / math.sqrt(2)))
elif tri[0] == 0 and tri[1] == 1 and tri[2] == 0:
PSK8.symbols.append(complex(0, 1))
elif tri[0] == 1 and tri[1] == 1 and tri[2] == 0:
PSK8.symbols.append(complex(1 / math.sqrt(2), 1 / math.sqrt(2)))
elif tri[0] == 1 and tri[1] == 1 and tri[2] == 1:
PSK8.symbols.append(complex(1, 0))
elif tri[0] == 1 and tri[1] == 0 and tri[2] == 1:
PSK8.symbols.append(complex(1 / math.sqrt(2), -1 / math.sqrt(2)))
elif tri[0] == 1 and tri[1] == 0 and tri[2] == 0:
PSK8.symbols.append(complex(0, -1))
print(4)
# print("8PSK Bits: " + str(PSK8.bits))
# print("8PSK Symb: " + str(PSK8.symbols))
# print()
# ----------------------------------------------------------------
# Set s0 and s1
# ----------------------------------------------------------------
BPSK.s = [[1, 1, 1],
[-1, 1, 1],
[1, 1, -1],
[-1, 1, -1],
[1, -1, 1],
[-1, -1, 1],
[1, -1, -1],
[-1, -1, -1]]
QAM4.s = [[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)]]
# 1, 1
PSK8.s = [[complex(1, 0), complex(1, 0), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(1, 0)],
[complex(0, 1), complex(1, 0), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(1, 0)],
[complex(-1, 0), complex(1, 0), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(1, 0)],
[complex(0, -1), complex(1, 0), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(1, 0)],
# 1, (1,j)
[complex(1, 0), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(1, 0), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(1, 1) / math.sqrt(2)],
# 1, j
[complex(1, 0), complex(1, 0), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(0, 1)],
[complex(0, 1), complex(1, 0), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(0, 1)],
[complex(-1, 0), complex(1, 0), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(0, 1)],
[complex(0, -1), complex(1, 0), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(0, 1)],
# 1, (-1,j)
[complex(1, 0), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(-1, 1) / math.sqrt(2)],
# 1, -1
[complex(1, 0), complex(1, 0), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(-1, 0)],
[complex(0, 1), complex(1, 0), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(-1, 0)],
[complex(-1, 0), complex(1, 0), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(-1, 0)],
[complex(0, -1), complex(1, 0), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(-1, 0)],
# 1, (-1,-j)
[complex(1, 0), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(-1, -1) / math.sqrt(2)],
# 1, -j
[complex(1, 0), complex(1, 0), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(0, -1)],
[complex(0, 1), complex(1, 0), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(0, -1)],
[complex(-1, 0), complex(1, 0), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(0, -1)],
[complex(0, -1), complex(1, 0), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(0, -1)],
# 1, (1,-j)
[complex(1, 0), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(1, 0), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 0), complex(1, -1) / math.sqrt(2)],
# (1, j), 1
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 0)],
# (1, j), (1,j)
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
# (1, j), j
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, 1)],
# (1, j), (-1,j)
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
# (1, j), -1
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, 0)],
# (1, j), (-1,-j)
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
# (1, j), -j
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(0, -1)],
# (1, j), (1,-j)
[complex(1, 0), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
# j, 1
[complex(1, 0), complex(0, 1), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(1, 0)],
[complex(0, 1), complex(0, 1), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(1, 0)],
[complex(-1, 0), complex(0, 1), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(1, 0)],
[complex(0, -1), complex(0, 1), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(1, 0)],
# j, (1,j)
[complex(1, 0), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(0, 1), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(1, 1) / math.sqrt(2)],
# j, j
[complex(1, 0), complex(0, 1), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(0, 1)],
[complex(0, 1), complex(0, 1), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(0, 1)],
[complex(-1, 0), complex(0, 1), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(0, 1)],
[complex(0, -1), complex(0, 1), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(0, 1)],
# j, (-1,j)
[complex(1, 0), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(-1, 1) / math.sqrt(2)],
# j, -1
[complex(1, 0), complex(0, 1), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(-1, 0)],
[complex(0, 1), complex(0, 1), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(-1, 0)],
[complex(-1, 0), complex(0, 1), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(-1, 0)],
[complex(0, -1), complex(0, 1), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(-1, 0)],
# j, (-1,-j)
[complex(1, 0), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(-1, -1) / math.sqrt(2)],
# j, -j
[complex(1, 0), complex(0, 1), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(0, -1)],
[complex(0, 1), complex(0, 1), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(0, -1)],
[complex(-1, 0), complex(0, 1), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(0, -1)],
[complex(0, -1), complex(0, 1), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(0, -1)],
# j, (1,-j)
[complex(1, 0), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(0, 1), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, 1), complex(1, -1) / math.sqrt(2)],
# (-1, j), 1
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 0)],
# (-1, j), (1,j)
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
# (-1, j), j
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, 1)],
# (-1, j), (-1,j)
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
# (-1, j), -1
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, 0)],
# (-1, j), (-1,-j)
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
# (-1, j), -j
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(0, -1)],
# (-1, j), (1,-j)
[complex(1, 0), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
# -1, 1
[complex(1, 0), complex(-1, 0), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(1, 0)],
[complex(0, 1), complex(-1, 0), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(1, 0)],
[complex(-1, 0), complex(-1, 0), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(1, 0)],
[complex(0, -1), complex(-1, 0), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(1, 0)],
# -1, (1,j)
[complex(1, 0), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(1, 1) / math.sqrt(2)],
# -1, j
[complex(1, 0), complex(-1, 0), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(0, 1)],
[complex(0, 1), complex(-1, 0), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(0, 1)],
[complex(-1, 0), complex(-1, 0), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(0, 1)],
[complex(0, -1), complex(-1, 0), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(0, 1)],
# -1, (-1,j)
[complex(1, 0), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, 1) / math.sqrt(2)],
# -1, -1
[complex(1, 0), complex(-1, 0), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, 0)],
[complex(0, 1), complex(-1, 0), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, 0)],
[complex(-1, 0), complex(-1, 0), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, 0)],
[complex(0, -1), complex(-1, 0), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, 0)],
# -1, (-1,-j)
[complex(1, 0), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(-1, -1) / math.sqrt(2)],
# -1, -j
[complex(1, 0), complex(-1, 0), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(0, -1)],
[complex(0, 1), complex(-1, 0), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(0, -1)],
[complex(-1, 0), complex(-1, 0), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(0, -1)],
[complex(0, -1), complex(-1, 0), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(0, -1)],
# -1, (1,-j)
[complex(1, 0), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, 0), complex(1, -1) / math.sqrt(2)],
# (-1, -j), 1
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
# (-1, -j), (1,j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
# (-1, -j), j
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
# (-1, -j), (-1,j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
# (-1, -j), -1
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
# (-1, -j), (-1,-j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
# (-1, -j), -j
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
# (-1, -j), (1,-j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
# -j, 1
[complex(1, 0), complex(0, -1), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(1, 0)],
[complex(0, 1), complex(0, -1), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(1, 0)],
[complex(-1, 0), complex(0, -1), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(1, 0)],
[complex(0, -1), complex(0, -1), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(1, 0)],
# -j, (1,j)
[complex(1, 0), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(0, -1), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(1, 1) / math.sqrt(2)],
# -j, j
[complex(1, 0), complex(0, -1), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(0, 1)],
[complex(0, 1), complex(0, -1), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(0, 1)],
[complex(-1, 0), complex(0, -1), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(0, 1)],
[complex(0, -1), complex(0, -1), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(0, 1)],
# -j, (-1,j)
[complex(1, 0), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(-1, 1) / math.sqrt(2)],
# -j, -1
[complex(1, 0), complex(0, -1), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(-1, 0)],
[complex(0, 1), complex(0, -1), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(-1, 0)],
[complex(-1, 0), complex(0, -1), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(-1, 0)],
[complex(0, -1), complex(0, -1), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(-1, 0)],
# -j, (-1,-j)
[complex(1, 0), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(-1, -1) / math.sqrt(2)],
# -j, -j
[complex(1, 0), complex(0, -1), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(0, -1)],
[complex(0, 1), complex(0, -1), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(0, -1)],
[complex(-1, 0), complex(0, -1), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(0, -1)],
[complex(0, -1), complex(0, -1), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(0, -1)],
# -j, (1,-j)
[complex(1, 0), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(0, -1), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(0, -1), complex(1, -1) / math.sqrt(2)],
# (-1, -j), 1
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 0)],
# (-1, -j), (1,j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, 1) / math.sqrt(2)],
# (-1, -j), j
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, 1)],
# (-1, -j), (-1,j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 1) / math.sqrt(2)],
# (-1, -j), -1
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, 0)],
# (-1, -j), (-1,-j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2)],
# (-1, -j), -j
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(0, -1)],
# (-1, -j), (1,-j)
[complex(1, 0), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, 1), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, 0), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(-1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(0, -1), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)],
[complex(1, -1) / math.sqrt(2), complex(-1, -1) / math.sqrt(2), complex(1, -1) / math.sqrt(2)]]
print(5)
# ----------------------------------------------------------------
# Get Transmitted Bits and Symbols
# ----------------------------------------------------------------
#
# fig, axs = plt.subplots(4, 4, sharex='col', sharey='row')
# fig.subplots_adjust(hspace=0.001, wspace=0.001)
# axs = axs.ravel()
# BPSK
for x in range(15):
BPSK.newDynamic()
print(x)
for k in range(-4, 16):
BPSK.symErrorCount = 0
BPSK.transmittedSymbols = [complex(1, 0), complex(1, 0)]
BPSK.rt = []
BPSK.delta = [[0.0] * BPSK.total for m in range(BPSK.M ** 3)]
BPSK.alpha = [0.0] * BPSK.total
BPSK.sigma = 1 / (math.sqrt((10 ** (k / 10)) * 2 * math.log(BPSK.M, 2)))
for i in range(BPSK.total):
for j in range(BPSK.M ** 3):
BPSK.rt.append((BPSK.s[j][0] * BPSK.cDynamic[0]) + (BPSK.s[j][1] * BPSK.cDynamic[1]) + (
BPSK.s[j][2] * BPSK.cDynamic[2]) + (
BPSK.sigma * (complex(random.gauss(0, 1), random.gauss(0, 1)))))
BPSK.delta[j][i] = abs(
BPSK.rt[i] - ((BPSK.s[j][0] * BPSK.cDynamic[0]) + (BPSK.s[j][1] * BPSK.cDynamic[1]) + (
BPSK.s[j][2] * BPSK.cDynamic[2]))) ** 2
temp = math.inf
for l in range(BPSK.M ** 3):
if temp >= BPSK.delta[l][i]:
BPSK.alpha[i] = l
temp = BPSK.delta[l][i]
for m in range(len(BPSK.alpha)):
BPSK.transmittedSymbols.append(BPSK.s[BPSK.alpha[m]][0])
BPSK.transmittedSymbols.pop()
BPSK.transmittedSymbols.pop()
for x in range(len(BPSK.transmittedSymbols)):
if BPSK.transmittedSymbols[x] != BPSK.symbols[x]:
BPSK.symErrorCount += 1
# x = []
# y = []
#
# for l1 in range(0, len(BPSK.rt)):
# x.append(BPSK.rt[l1].real)
# y.append(BPSK.rt[l1].imag)
# for i in range(-4, 16):
# axs[i].scatter(x, y, marker='.', label="Eb/No="+str(i), color='k', alpha = 0.01)
# axs[i].legend(loc="upper right", framealpha=0)
BPSK.SERn[k] = BPSK.symErrorCount
BPSK.SERd[k] = BPSK.total
BPSK.SER[k] = BPSK.SERn[k] / BPSK.SERd[k]
# print("Delta\n", len(BPSK.transmittedSymbols))
# print("\n\nAlpha\n", BPSK.s)
# print("\n\nAlpha length\n", len(BPSK.s))
#
# # print("\n\nSymbols BPSK\n", BPSK.symbols)
# print("\n\nSymbols BPSK Length\n", len(BPSK.symbols))
#
# print("\n\nSER\n", BPSK.SER)
print(6)
# 4QAM
for x in range(15):
QAM4.newDynamic()
print(x)
for k in range(-4, 16):
QAM4.symErrorCount = 0
QAM4.transmittedSymbols = [complex(1, 0), complex(1, 0)]
QAM4.rt = []
QAM4.delta = [[0.0] * int(QAM4.total / 2) for m in range(QAM4.M ** 3)]
QAM4.alpha = [0.0] * int(QAM4.total / 2)
QAM4.sigma = 1 / (math.sqrt((10 ** (k / 10)) * 2 * math.log(QAM4.M, 2)))
for i in range(int(QAM4.total / 2)):
for j in range(QAM4.M ** 3):
QAM4.rt.append((QAM4.s[j][0] * QAM4.cDynamic[0]) + (QAM4.s[j][1] * QAM4.cDynamic[1]) + (
QAM4.s[j][2] * QAM4.cDynamic[2]) + (
QAM4.sigma * (complex(random.gauss(0, 1), random.gauss(0, 1)))))
QAM4.delta[j][i] = abs(
QAM4.rt[i] - ((QAM4.s[j][0] * QAM4.cDynamic[0]) + (QAM4.s[j][1] * QAM4.cDynamic[1]) + (
QAM4.s[j][2] * QAM4.cDynamic[2]))) ** 2
temp = math.inf
for l in range(QAM4.M ** 3):
if temp >= QAM4.delta[l][i]:
QAM4.alpha[i] = l
temp = QAM4.delta[l][i]
for m in range(len(QAM4.alpha)):
QAM4.transmittedSymbols.append(QAM4.s[QAM4.alpha[m]][0])
QAM4.transmittedSymbols.pop(0)
QAM4.transmittedSymbols.pop(0)
for p in range(0, int(QAM4.total / 2)):
if QAM4.transmittedSymbols[p] == complex(1 / math.sqrt(2), 1 / math.sqrt(2)):
# print(colored("1", 'yellow'))
QAM4.transmittedBits.append(0)
QAM4.transmittedBits.append(0)
elif QAM4.transmittedSymbols[p] == complex(-1 / math.sqrt(2), 1 / math.sqrt(2)):
# print(colored("2", 'yellow'))
QAM4.transmittedBits.append(0)
QAM4.transmittedBits.append(1)
elif QAM4.transmittedSymbols[p] == complex(-1 / math.sqrt(2), -1 / math.sqrt(2)):
# print(colored("3", 'yellow'))
QAM4.transmittedBits.append(1)
QAM4.transmittedBits.append(1)
else:
# print(colored("4", 'yellow'))
QAM4.transmittedBits.append(1)
QAM4.transmittedBits.append(0)
for n in range(0, len(QAM4.bits)):
if QAM4.bits[n] != QAM4.transmittedBits[n]:
QAM4.bitErrorCount += 1
for x in range(len(QAM4.transmittedSymbols)):
if QAM4.transmittedSymbols[x] != QAM4.symbols[x]:
QAM4.symErrorCount += 1
# x = []
# y = []