1.完整项目描述和程序获取
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2.部分仿真图预览
3.算法概述
①BCH码是一种纠错码、线性分组码、循环码。
②需要传输信息位数:k
③纠错能力:t
④总码长(信息位+监督位):n
⑤n的长度满足n=2^m – 1时生成的为本原BCH码;n的长度为2^m – 1的因子时为非本原BCH码
(如n=15,n=31,n=63时为本原BCH码;n=21(可被63整除)等时为非本原BCH码)
⑥此外还有加长BCH码和缩短BCH码。
⑦具体的BCH码通常用BCH(n,k)码来表示。
4.部分源码
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for i=1:2*t
GFalpha(i)=B2^(2*t-i+1);
end;
for j=1:data_Len2
%Data segmentation
rec_data = rec_data2((j-1)*n+1:(j-1)*n+n);
BCH_tmp = gf(zeros(1, 2*t), m);
for i=1:n
BCH_tmp = BCH_tmp.*GFalpha+rec_data(n-i+1);%GFalpha Summation and accumulation
end;
Lmds1 = gf([1, zeros(1, t)], m);
Lmds2 = Lmds1;
b1 = gf([0, 1, zeros(1, t)], m);
b2 = gf([0, 0, 1, zeros(1, t)], m);
k1 = 0;
Gam = B1;
delta = B0;
BCH_array = gf(zeros(1, t+1), m);
for r=1:t
r1 = 2*t-2*r+2;
r2 = min(r1+t, 2*t);
num = r2-r1+1;
BCH_array(1: num) = BCH_tmp(r1:r2);
delta = BCH_array*Lmds1';
Lmds2 = Lmds1;
Lmds1 = Gam*Lmds1-delta*b2(2:t+2);
if (delta~= B0) && (k1>=0)
b2(3) = B0;
b2(4:3+t) = Lmds2(1:t);
Gam = delta;
k1 = -k1;
else
b2(3:3+t) = b2(1:t+1);
Gam = Gam;
k1 = k1+2;
end
end
invdat = gf(zeros(1, t+1), m);
for i=1:t+1
invdat(i) = B2^(-i+1);
end;
%chein search
Lmds3 = B0;
acc = gf(ones(1, t+1), m);
for i=1:n
Lmds3 = Lmds1*acc';
acc = acc.*invdat;
if Lmds3==B0
errs(1,n-i+1) = 1;
else
errs(1,n-i+1) = 0;
end
end
smll = find(errs(1,:)~=0);
for i=1:length(smll)
pos = smll(i);
if pos <= k;
rec_data(n-pos+1) = rec_data(n-pos+1) + B1;
end
end
GFdec((j-1)*k+1:(j-1)*k+k) = rec_data(n-k+1:n);%the decode output
end
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