7-4 matlab program for linear block codes

To add, the relationship between the generation matrix G and the check matrix H: The generated matrix G is a 4*7 matrix, divided into two blocks, the first 4 columns composed of the 4*4 matrix is the unit matrix, the latter 3 columns composed of the 4*3 matrix I call it the supervisory matrix, the check matrix is 3*7 matrix, the first 4 columns of the 3*4 matrix is the monitoring matrix is The 3*3 matrix consisting of the following three columns is the unit matrix.

The constraint relationship between the set (7,4) linear block code information bit and the test bit is:

%C5=C1+C2+C3;C6=C2+C3+C4;C7=C1+C2+C4;

% by the constraint relationship can write out the generated matrix G.

Clear all;

g1=[1,0,0,0;0,1,0,0;0,0,1,0;0,0,0,1];

g2=[1,0,1;1,1,1;1,1,0;0,1,1];

G=[G1,G2];

c=[1,0,1,1]; %C=[C1,C2,C3,C4] to encode the information code word

R1=c*g;

R=mod (r1,2);

fprintf (' output is encoded as:r= ')

Disp (R);

% known to generate matrix G, you can find the check matrix H.

Clear all;

e=[1,1,1,1,1,1,1];

h1=[1,1,1,0;0,1,1,1;1,1,0,1];

h2=[1,0,0;0,1,0;0,0,1];

h=[h1,h2];% Check matrix.

r=[1,0,1,1,0,0,1];% receive the code word.

s1=r* (H '); %s is a school array;

S=mod (s1,2);

For I=1:7; % use the For loop to remove each column in H and add it to S.

T=h (:, [i]);

%disp (T);

B1=s+t ';

B=mod (b1,2);

if (All (B (:) ==0)),% if S and H 's list and b are 0 Matrix, it means that the first code word in R is wrong.

fprintf (the error code bit in the sequence of"R" is:');

Disp (i)

Else

E (1,i) = 0;

End

End

C=mod ((R+e), 2);

fprintf (' corrected code word should be:c= ');

Disp (C);

7-4 matlab program for linear block codes