function dis=Hamming_dis(x,y)
dis=rem(x+y,2);
dis=dis*[1;1];
end
%Viterbi算法译码器
function decoder_output=viterbi_hard(y,L) %y是编码加噪声后的序列，L是信息序列长度
global G;
G=[1,1,1;
1,0,1];
n=size(G,1); %G的行数
K=size(G,2); %G的列数
number_of_states=2^(K-1); %状态数
nextstate=zeros(number_of_states,2); %状态转移矩阵，当前状态j,输入t
output=zeros(number_of_states,2); %输出矩阵当前状态j,输入t，十进制
for j=0:number_of_states-1
for t=0:1
[next_state,memory_contents]=next_state_fun(j,t,K); %由当前状态数j ,输入信息码 t，寄存器长度K
%找到下一个状态数next_state, 更新寄存器内容memory_contents
branch_output=rem(memory_contents*G',2); % branch_output 分支的输出,1*2维矩阵
nextstate(j+1,t+1)=next_state; %nextstate状态转移表，当前状态j,输入t, 2^(K-1)*2维矩阵
output(j+1,t+1)=bin2deci(branch_output); %output 输出矩阵，2^(K-1)*2维矩阵
end
end
%------------------------------------------------ %各状态的度量
metric_of_states=zeros(1,number_of_states);
%metricmetric_of_states_c=zeros(number_of_states,2); %各状态两个输入的度量
length_seq=length(y)/n; %信息符号数，1 symbal=n bits
decoder_output=zeros(1,length_seq-K+1); %信息码，减去最后补（K-1）个0
channel_output_matrix=reshape(y,n,length_seq); %将解调输出的比特按符号排列 n*length_seq维矩阵，二进制
survivor_state=zeros(number_of_states, length_seq+1); %留存路径
input_of_state=zeros(number_of_states, length_seq+1, 2); %汇聚到各状态的分支对应的输入
count=zeros(1, number_of_states); %count只能为1 或2 ，记录是某输入时刻 第几次进入这个状态
metric_of_states_c=zeros(number_of_states,2); %对两次进入同一状态的距离记录
for i=1:length_seq-K+1 %时间线
for j=0:number_of_states-1 %遍历状态
for t=0:1 %遍历输入
binary_output=deci2bin(output(j+1,t+1),n); %理想输出 binary_output 1*2维度矩阵
branch_metric=Hamming_dis(channel_output_matrix(:,i)',binary_output); %计算分支度量
count(nextstate(j+1,t+1)+1)=count(nextstate(j+1,t+1)+1)+1; %count为1,2 ，第几次进入状态
metric_of_states_c(nextstate(j+1,t+1)+1,count(nextstate(j+1,t+1)+1))=metric_of_states(j+1)+branch_metric; %计算累积度量（加）
input_of_state(nextstate(j+1,t+1)+1,:,count(nextstate(j+1,t+1)+1))=survivor_state(j+1,:); %该分支所在路径的对应的输入
input_of_state(nextstate(j+1,t+1)+1,i,count(nextstate(j+1,t+1)+1))=t;
end
end
%----------------比较汇聚到同一状态的两条路径，选取距离较小的-----------------
for j=0:number_of_states-1
if metric_of_states_c(j+1,1)>=metric_of_states_c(j+1,2)
metric_of_states(j+1)=metric_of_states_c(j+1,2);
survivor_state(j+1,:)=input_of_state(j+1,:,2);
else
metric_of_states(j+1)=metric_of_states_c(j+1,1);
survivor_state(j+1,:)=input_of_state(j+1,:,1);
end
end
count=zeros(1,number_of_states);
%--------------------------截短输出------------------------------------
if i>L
[min_metric,location]=min(metric_of_states);
decoder_output(i-L)=survivor_state(location,i-L);
end
end
%---------------------最后L个比特译码输出--------------------------------
[min_metric,location]=min(metric_of_states);
decoder_output(length_seq-K+1-L+1:length_seq-K+1)=survivor_state(location,length_seq-K+1-L+1:length_seq-K+1);
%在最后译码结果出来后，将原始信号和译码输出的还原信号进行比较，计算误比特率。
end
%十进制转化为n位的二进制数组
function y1=deci2bin(x,n)
y1=zeros(1,n);
i=1;
while x>=0&&i<=n
y1(i)=rem(x,2);
x=(x-y1(i))/2;
i=i+1;
end
y1=y1(n:-1:1);
end
%二进制转化为十进制数字
function y=bin2deci(x)
n=length(x);
y=(n-1:-1:0);
y=2.^y;
y=x*y';
end
function dis=Hamming_dis(x,y)
dis=rem(x+y,2);
dis=dis*[1;1];
end
%求下一个viterbi状态的函数
%当前十进制状态码 j
%当前输入信息码 t
%寄存器限制长度 K
%下个状态码 next_state,
%寄存器内容 memory_contents
function [next_state,memory_contents]=next_state_fun(j,t,K) %当前状态码 j,当前输入信息码 t,寄存器限制长度 K
a=deci2bin(j,K-1); %将j转化为K-1位二进制状态码
binary_state_1=deci2bin(j,K-1); %当前状态码
binary_input=deci2bin(t,1); %当前输入
next_state_binary=[binary_input,binary_state_1(1:(K-2))]; %组合成新的状态码
next_state=bin2deci(next_state_binary); %新的十进制状态码
memory_contents=[binary_input,binary_state_1]; %当前寄存器内容
end