código de hamming no matlab

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rafaela
rafaela 2023-4-18
回答： Yash 2023-4-25
oi , estou com duvidas sobre como corrigir uma mensagem usando o codigo de hamming no matlab
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Walter Roberson
Walter Roberson 2023-4-18
Approximate translation:
hi, i have doubts about how to correct a message using the hamming code in matlab

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回答（1 个）

Yash
Yash 2023-4-25
Hi rafaela,
To correct a message using Hamming code in MATLAB, you can follow the steps below:
  1. Define the received message as a binary matrix, where each bit of the message is an element of the matrix. For example:
received_msg = [1 0 1 1 0 0 1]
  1. Define the parity check matrix H for the Hamming code. For example, for a (7,4) Hamming code, the parity check matrix can be defined as:
H = [1 1 0 1 1 0 0; 0 1 1 1 0 1 0; 1 0 1 1 0 0 1]
  1. Calculate the syndrome vector s by multiplying the received message by the transpose of the parity check matrix H:
s = mod(received_msg * H', 2)
  1. Find the position of the error in the received message by converting the syndrome vector to decimal:
error_pos = bi2de(s, 'left-msb')
Note: if the syndrome vector s is all zeros, then there is no error in the received message.
  1. Correct the error in the received message by flipping the bit at the error position:
if error_pos > 0
received_msg(error_pos) = 1 - received_msg(error_pos)
disp(received_msg(error_pos))
end
  1. Extract the original message from the corrected received message by removing the parity bits:
original_msg = received_msg([1 2 4 8])
Note: the parity bits in a (7,4) Hamming code are at positions 1, 2, 4, and 8.
That's it! You have now corrected the error in the received message using Hamming code in MATLAB.
I hope this helps :)

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