código de hamming no matlab

oi , estou com duvidas sobre como corrigir uma mensagem usando o codigo de hamming no matlab

[Walter Roberson]

Approximate translation:

hi, i have doubts about how to correct a message using the hamming code in matlab

Answer 1

[Yash]

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 :)