📄 sq64qam_gray_map.m
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function out=sq64QAM_Gray_map(input)
%%%------example--------------------
%%% input=[0 1 1 0 1 1 0 1 1 0 0 1]
%%% out=[3+3j
%%% 5+3j]
%%%将输入的信息比特流映射为方形64QAM星座点;输出为并行序列,为表示星座点的复数
%%%输入序列长度应为6的倍数;每6个比特映射为一个星座点
%%% 'input' is the inputed source bit sequence
%%% 'output' is the mapped constellations, and is a parallel sequence
K=length(input)/6; %%% The number of symbols
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 %%%将input变成K×6的矩阵,便于映射处理,每一行对应一个星座点
for k=1:6
temp(i,k)=input(6*(i-1)+k);
end
end
%%% mapping --------------------------------
%%% Y-coordinate ---------------------------%%% 6个比特中的前三位决定纵坐标,后三位决定横坐标
for i=1:K
if [temp(i,1),temp(i,2),temp(i,3)]==[0,0,0]
max(i,2)=y(1);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[0,0,1]
max(i,2)=y(2);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[0,1,1]
max(i,2)=y(3);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[0,1,0]
max(i,2)=y(4);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[1,1,0]
max(i,2)=y(5);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[1,1,1]
max(i,2)=y(6);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[1,0,1]
max(i,2)=y(7);
end
if [temp(i,1),temp(i,2),temp(i,3)]==[1,0,0]
max(i,2)=y(8);
end
end
%%% X-coordinate --------------------------
for i=1:K
if [temp(i,4),temp(i,5),temp(i,6)]==[0,0,0]
max(i,1)=x(1);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[0,0,1]
max(i,1)=x(2);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[0,1,1]
max(i,1)=x(3);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[0,1,0]
max(i,1)=x(4);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[1,1,0]
max(i,1)=x(5);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[1,1,1]
max(i,1)=x(6);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[1,0,1]
max(i,1)=x(7);
end
if [temp(i,4),temp(i,5),temp(i,6)]==[1,0,0]
max(i,1)=x(8);
end
end
clear i;
clear k;
clear temp;
for i=1:K
p_out(i,:)=max(i,1)+max(i,2)*j; %%% generate complex constellations,and parallel sequence
end
clear max;
out=p_out; %%% parallel complex constellations
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