📄 sq16qam_gray_map.m
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function out=sq16QAM_Gray_map(input)
%%%--------example---------------------
%%% input=[0 0 0 1 0 1 1 1 1 0 0 1]
%%% out=[1+3j
%%% -1+j
%%% 1-3j]
%%%将输入的信息比特流映射为方形16QAM星座点;输出为并行复数序列,为表示星座点的复数
%%%输入序列长度应为4的倍数;每4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 still a serial sequence
K=length(input)/4; %%% The number of symbols
d=1/sqrt(10); %%% The minimum distance between constellations is 2*d
x=[3*d,d,-d,-3*d]; %%% coordinate matrix
y=[3*d,d,-d,-3*d];
for i=1:K %%%将input变成K×4的矩阵,便于映射处理,每一行对应一个星座点
for k=1:4
temp(i,k)=input(4*(i-1)+k);
end
end
%%% mapping --------------------------------
%%% Y-coordinate ---------------------------%%% 4个比特中的前两位决定纵坐标,后两位决定横坐标
for i=1:K
if [temp(i,1),temp(i,2)]==[0,0]
max(i,2)=y(1);
end
if [temp(i,1),temp(i,2)]==[0,1]
max(i,2)=y(2);
end
if [temp(i,1),temp(i,2)]==[1,1]
max(i,2)=y(3);
end
if [temp(i,1),temp(i,2)]==[1,0]
max(i,2)=y(4);
end
end
%%% X-coordinate --------------------------
for i=1:K
if [temp(i,3),temp(i,4)]==[0,0]
max(i,1)=x(1);
end
if [temp(i,3),temp(i,4)]==[0,1]
max(i,1)=x(2);
end
if [temp(i,3),temp(i,4)]==[1,1]
max(i,1)=x(3);
end
if [temp(i,3),temp(i,4)]==[1,0]
max(i,1)=x(4);
end
end
clear i;
clear k;
clear temp;
%%% j=sqrt(-1); %%%% if you have use j as a variable,then you must have to define j as a complex
%%%% if you want to use it as a complex sign
for i=1:K
p_out(i,:)=max(i,1)+max(i,2)*j; %%% generate complex constellations,and serial sequence
end
clear max;
out=p_out; %%% parallel complex constellations sequence
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