📄 sq64qam_gray_demap.m
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function out=sq64QAM_Gray_demap(input)
%%%---example-----------
%%% input=[3+3j
%%% 5+3j]
%%% out=[0 1 1 0 1 1 0 1 1 0 0 1]
%%% This function have the only function of demapping
%%% 'input' is complex sequence from channel and FFT transformer, and is parallel sequence( K×1 matrix)
%%% 'out' is serial binary bit sequence
%%% The course of demapping use the criterion of Minimum Euclidean Distance(MED)
K=length(input);
d=1/sqrt(42); %%% The minimum distance between constellations is 2*d
x=[7*d,5*d,3*d,d,-d,-3*d,-5*d,-7*d]; %%% coordinate matrix
y=[7*d,5*d,3*d,d,-d,-3*d,-5*d,-7*d];
for i=1:K
temp(i,:)=[real(input(i)),imag(input(i))]; %%% 复数矩阵变成实数矩阵,便于处理
end
%%% 解调采用比较横纵坐标,找最接近的横纵坐标的方法,相当于量化的思想
%%% X-coordinate demapping -----------------------------------------------
for i=1:K
for k=1:8 %%% 先比较横坐标
dis(k)=temp(i,1)-x(k);
end
[di,num]=min(abs(dis)); %%% 坐标距离最短
temp(i,1)=x(num); %%% 横坐标解调出来,并保存到原来矩阵中
if x(num)==x(1)
t_out(i,4:6)=[0,0,0]; %%% 横坐标决定6个比特中的后三位
end
if x(num)==x(2)
t_out(i,4:6)=[0,0,1];
end
if x(num)==x(3)
t_out(i,4:6)=[0,1,1];
end
if x(num)==x(4)
t_out(i,4:6)=[0,1,0];
end
if x(num)==x(5)
t_out(i,4:6)=[1,1,0];
end
if x(num)==x(6)
t_out(i,4:6)=[1,1,1];
end
if x(num)==x(7)
t_out(i,4:6)=[1,0,1];
end
if x(num)==x(8)
t_out(i,4:6)=[1,0,0];
end
end
%%% Y-coordinate demapping -----------------------------------------------
for i=1:K
for k=1:8 %%% 再比较纵坐标
dis(k)=temp(i,2)-y(k);
end
[di,num]=min(abs(dis));
temp(i,2)=y(num); %%% 纵坐标解调出来,并保存到原来矩阵中
if y(num)==x(1)
t_out(i,1:3)=[0,0,0]; %%% 纵坐标决定6个比特中的前三位
end
if y(num)==y(2)
t_out(i,1:3)=[0,0,1];
end
if y(num)==y(3)
t_out(i,1:3)=[0,1,1];
end
if y(num)==y(4)
t_out(i,1:3)=[0,1,0];
end
if y(num)==y(5)
t_out(i,1:3)=[1,1,0];
end
if y(num)==y(6)
t_out(i,1:3)=[1,1,1];
end
if y(num)==y(7)
t_out(i,1:3)=[1,0,1];
end
if y(num)==y(8)
t_out(i,1:3)=[1,0,0];
end
end
for i=1:K
for m=1:6
out(6*(i-1)+m)=t_out(i,m); %%% P/S transform, the out is a serial binary sequence
end
end
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