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import numpy as np

# Function to generate a pseudo-random bit sequence (PN sequence) for spreading
def generate_pn_sequence(length):
# Initial seed for the PN sequence
seed = np.random.randint(2, size=10)
pn_sequence = []

# Linear feedback shift register (LFSR) to generate PN sequence
for i in range(length):
new_bit = seed[9] ^ seed[2] # XOR of specific bits
pn_sequence.append(new_bit)
seed = np.roll(seed, 1) # Shift register to the right
seed[0] = new_bit # Replace the first bit with the new one

return pn_sequence

# Function to perform Direct Sequence Spread Spectrum (DSSS) modulation
def dsss_modulation(data_bits, spreading_sequence):
dsss_signal = []

# Modulate each data bit using the spreading sequence
for bit in data_bits:
# Spreading: multiply each data bit by the spreading sequence
for pn_bit in spreading_sequence:
dsss_signal.append(bit * pn_bit)

return dsss_signal

# Example data bits (binary sequence)
data_bits = [1, 0, 1, 1, 0, 0, 1, 1]

# Generate a PN sequence for spreading
spreading_sequence = generate_pn_sequence(len(data_bits))

# Perform DSSS modulation
dsss_signal = dsss_modulation(data_bits, spreading_sequence)

print("Data bits:", data_bits)
print("Spreading sequence:", spreading_sequence)
print("DSSS signal:", dsss_signal)
     
 
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