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angle.py
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angle.py
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import cmath
import math
def binary_to_q15_15(binary_string):
# Determine sign
if binary_string[0] == '1':
is_negative = True
else:
is_negative = False
# Calculate integer value
integer_value = int(binary_string, 2)
# If negative, convert to two's complement
if is_negative:
integer_value -= 1 << len(binary_string) # Subtract 2^30
# Convert to Q15.15 format
decimal_value = integer_value / (1 << 15)
return decimal_value
def binary_to_q13_19(binary_string):
# Determine sign
if binary_string[0] == '1':
is_negative = True
else:
is_negative = False
# Calculate integer value
integer_value = int(binary_string, 2)
# If negative, convert to two's complement
if is_negative:
integer_value -= 1 << len(binary_string) # Subtract 2^30
# Convert to Q15.15 format
decimal_value = integer_value / (1 << 19)
return decimal_value
def hex_to_binary_real(hex_num, bit_length=None):
# Remove the '0x' prefix if present
hex_num = hex_num[2:] if hex_num.startswith("0x") else hex_num
# Convert the hexadecimal number to an integer
integer_value = int(hex_num, 16)
# Convert the integer to a binary string and remove the '0b' prefix
binary_string = bin(integer_value)[2:]
# Pad the binary string to the desired length
if bit_length:
binary_string = binary_string.zfill(bit_length)
part1 = binary_string[:30]
# print(part1)
real_part = binary_to_q15_15(part1)
# print(real_part)
return real_part
def hex_to_binary_imag(hex_num, bit_length=None):
# Remove the '0x' prefix if present
hex_num = hex_num[2:] if hex_num.startswith("0x") else hex_num
# Convert the hexadecimal number to an integer
integer_value = int(hex_num, 16)
# Convert the integer to a binary string and remove the '0b' prefix
binary_string = bin(integer_value)[2:]
# Pad the binary string to the desired length
if bit_length:
binary_string = binary_string.zfill(bit_length)
# print(binary_string)
part2 = binary_string[30:]
# print(part2)
imag_part = binary_to_q15_15(part2)
# print(imag_part)
return imag_part
def hex_to_binary_real_toe(hex_num, bit_length=None):
# Remove the '0x' prefix if present
hex_num = hex_num[2:] if hex_num.startswith("0x") else hex_num
# Convert the hexadecimal number to an integer
integer_value = int(hex_num, 16)
# Convert the integer to a binary string and remove the '0b' prefix
binary_string = bin(integer_value)[2:]
#print(binary_string)
# Pad the binary string to the desired length
if bit_length:
binary_string = binary_string.zfill(bit_length)
part1 = binary_string[32:]
#print(part1)
real_part = binary_to_q13_19(part1)
#print(real_part)
return real_part
def hex_to_binary_imag_toe(hex_num, bit_length=None):
# Remove the '0x' prefix if present
hex_num = hex_num[2:] if hex_num.startswith("0x") else hex_num
# Convert the hexadecimal number to an integer
integer_value = int(hex_num, 16)
# Convert the integer to a binary string and remove the '0b' prefix
binary_string = bin(integer_value)[2:]
# Pad the binary string to the desired length
if bit_length:
binary_string = binary_string.zfill(bit_length)
# print(binary_string)
part2 = binary_string[:32]
#print(part2)
imag_part = binary_to_q13_19(part2)
#print(imag_part)
return imag_part
def calculate_mean_freq_offset(hex_num):
real_part = hex_to_binary_real(hex_num, bit_length=60)
imag_part = hex_to_binary_imag(hex_num, bit_length=60)
#print(real_part)
#print(imag_part)
angle_radians = math.atan2(imag_part,real_part)
#print(angle_radians)
pi_value = math.pi
delta2 = (angle_radians * 2048) / ( 2 * pi_value * (2048 + 144))
mean_freq_off = delta2 * 120
#print(mean_freq_off)
return mean_freq_off
def calculate_mean_time_offset(hex_num):
real_part = hex_to_binary_real_toe(hex_num, bit_length=64)
imag_part = hex_to_binary_imag_toe(hex_num, bit_length=64)
#print(f"Real: {real_part:.32f}")
#print(f"Imag: {imag_part:.32f}")
angle_radians = math.atan2(imag_part,real_part)
#print(angle_radians)
theta = 0.25 * angle_radians
pi_value = math.pi
epsilon = (theta * 2048) / ( 2 * pi_value)
mean_time_off = epsilon
#print(mean_time_off)
return mean_time_off