I have the matrix H=[1 0 0 1 0 1 1;0 1 0 1 1 1 0;0 0 1 0 1 1 1] (3 rows,7 columns) which is the parity check matrix.
And a codeword c is transmitted and r=[1 1 x y 1 1 1] is received.
My job is to decode this.
I guess i must multiply H with r' (transpose or r) so that will give me the syndrome s=[1+y;1+y;1+x].And i equate this s with the [0;0;0].
Then x=y=1.
Is this right?I mean this is too easy to be true.I don't think that i am on the right track.
PS:i guess this would be true if i had only one bit error...but i have 2 errors
And from where do i know that H is systematic or nesystematic?
And a codeword c is transmitted and r=[1 1 x y 1 1 1] is received.
My job is to decode this.
I guess i must multiply H with r' (transpose or r) so that will give me the syndrome s=[1+y;1+y;1+x].And i equate this s with the [0;0;0].
Then x=y=1.
Is this right?I mean this is too easy to be true.I don't think that i am on the right track.
PS:i guess this would be true if i had only one bit error...but i have 2 errors
And from where do i know that H is systematic or nesystematic?
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