%main_OFDM.m
%一个相对完整的 OFDM 通信系统的仿真设计,包括编码,调制,IFFT,
%上下变频,高斯信道建模,FFT,PAPR 抑制,各种同步,解调和解码等模
%块,并统括系统性能的仿真验证了系统设计的可靠性。
clear all
close all
clc
表示当前帧是第几帧
定时同步的定位
%++++++++++++++++++++++++++全局变量++++++++++++++++++++++++++++++
% seq_num
% count_dds_up
上变频处的控制字的累加
% count_dds_down
下变频处的控制字的累加(整整)
% count_dds_down_tmp 下变频处的控制字的累加(小数)
% dingshi
% m_syn
global seq_num
global count_dds_up
global count_dds_down
global count_dds_down_tmp
global dingshi
global m_syn
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
记录定时同步中的自相关平台
% SNR_Pre
% interval_SNR
% frame_num
% err_int_final
% fwc_down
% fre_offset
% k0
% G
SNR_Pre=-5;
interval_SNR=1;
设定用于仿真的信噪比的初值
设定用于仿真的信噪比间隔
每一个信噪比下仿真的数据帧数
用于计算每帧出现的误比特数
设定的接收机初始载波频率控制字
设定接收机初始载波频率偏移调整量(单位为 Hz)
每次进入卷积编码器的信息比特数
卷积编码的生成矩阵
for SNR_System=SNR_Pre:interval_SNR:5
frame_num=152;
dingshi=250;
err_int_final=0;
fwc_down=16.050;
fre_offset=0;
k0=1;
G=[1 0 1 1 0 1 1;1 1 1 1 0 0 1 ];
disp('--------------start-------------------');
for seq_num=1:frame_num, %frame_num 帧数
%+++++++++++++++++++++++以下为输入数据部分+++++++++++++++++++++++
datain=randint(1,90);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++以下为信道卷积编码部分+++++++++++++++++++++
encodeDATA=cnv_encd(G,k0,datain);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++信道交织编码+++++++++++++++++++++++++
interlacedata=interlacecode(encodeDATA,8,24);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++以下为 QPSK 调制部分+++++++++++++++++++++
QPSKdata=qpsk(interlacedata);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++生成训练序列+++++++++++++++++++++++++
if seq_num<3
trainsp_temp=seq_train();
end
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++++插入导频++++++++++++++++++++++++++++
PILOT=(1+j);
m_QPSKdata=QPSKdata;
data2fft_temp=[m_QPSKdata(1:8),PILOT,m_QPSKdata(9:16),PILOT,m_QPSKdata(17:24),PILO
T,m_QPSKdata(25:32),PILOT,m_QPSKdata(33:40),PILOT,m_QPSKdata(41:48),m_QPSKdata(4
9:56),PILOT,m_QPSKdata(57:64),PILOT,m_QPSKdata(65:72),PILOT,m_QPSKdata(73:80),PIL
OT,m_QPSKdata(81:88),PILOT,m_QPSKdata(89:end)];
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
trainsp_temp2=[trainsp_temp,zeros(1,128)];
trainsp=[trainsp_temp2(65:256),trainsp_temp2(1:64)];
%++++++++++++++++++++++++++降 PAPR 矩阵变换++++++++++++++++++++++++
matix_data=nyquistimp_PS();
matrix_mult=data2fft_temp*matix_data;
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
data2fft2=[matrix_mult(65:128),zeros(1,128),matrix_mult(1:64)];
%++++++++++++++++++++++++++++ifft 运算+++++++++++++++++++++++++++
if seq_num==1
ifftin=trainsp;
elseif seq_num==2
ifftin=trainsp;
else
ifftin=data2fft2;
end
IFFTdata=fft_my(conj(ifftin)/256);
IFFTdata=conj(IFFTdata);
% figure
% plot(real(IFFTdata))
% xlabel('realIFFTdata')
% figure
% plot(imag(IFFTdata))
% xlabel('imagIFFTdata')
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++以下为插入循环前后缀,2 倍升采样+++++++++++++++
data2fir=add_CYC_upsample(IFFTdata,2);
% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
% +++++++++++++++++++++++++fir 低通滤波++++++++++++++++++++++++++
guiyi_a=[0.0017216
0.010162 0.025512 0.028801 -0.0059219
0.091431 0.29636 0.3956
0.028801 0.025512 0.010162 0.0017216 ];
0.29636 0.091431 -0.0496 -0.060115
-0.060115
-0.0496
-0.0059219
%抽样截止频率为 128kHZ,通带截止频率为 20kHZ,阻带截止频率为 40kHZ,带内纹波动小
于 1dB,带外衰减 100dB
txFIRdatai=filter(guiyi_a,1,real(data2fir));
txFIRdataq=filter(guiyi_a,1,imag(data2fir));
% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++发射机 cic 滤波++++++++++++++++++++++++++
CICidatai=cic_inter(txFIRdatai,20);
CICidataq=cic_inter(txFIRdataq,20);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++++上变频++++++++++++++++++++++++++++
fwc_up=16;
DUCdata=up_convert_ofdm(fwc_up,CICidatai,CICidataq);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%控制字可以选择
%++++++++++++++++++++++++++高斯白噪声信道++++++++++++++++++++++++
[DUCdata,datamax]=guiyi_DUCdata(DUCdata);
awgn_data=awgn(DUCdata,SNR_System);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%*****************************接受机*****************************
%+++++++++++++++++++++++++++++下变频+++++++++++++++++++++++++++++
DUCdata_tmp=awgn_data;
fwc_down=fwc_down+(fre_offset*128/2560000);
r_fre_offset=2560000*((fwc_down-fwc_up)/128);
[DDCdatai,DDCdataq]=down_convert_ofdm(fwc_down,DUCdata_tmp);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++接收机 cic 滤波+++++++++++++++++++++++++
CICddatai=cic_deci(DDCdatai,40,40);
CICddataq=cic_deci(DDCdataq,40,40);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++++fir 低通滤波++++++++++++++++++++++++
guiyi_b=[ 0.019527-0.03934 0.049055 -0.018102
0.049055 -0.03934 0.019527];
-0.1003 0.5944
-0.018102
0.5944
-0.1003
%抽样截止频率为 64kHZ,通带截止频率为 20kHZ,阻带截止频率为 30kHZ,带内纹波动小
于 1dB,带外衰减 60dB
rxFIRdatai=filter(guiyi_b,1,CICddatai);
rxFIRdataq=filter(guiyi_b,1,CICddataq);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++++++量化++++++++++++++++++++++++++++
q_rxFIRdatai=sign(rxFIRdatai);
q_rxFIRdataq=sign(rxFIRdataq);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++++定时同步检测++++++++++++++++++++++++
if seq_num<3
time_syn(q_rxFIRdatai,q_rxFIRdataq);
end
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++++频率同步+++++++++++++++++++++++++++
fre_offset=fre_syn(rxFIRdatai,rxFIRdataq);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++++fft 运算+++++++++++++++++++++++++++
if seq_num>2
seq_num-2
fftw=32+dingshi;
rxFIRdata_syn=rxFIRdatai(fftw:fftw+255)+j*rxFIRdataq(fftw:fftw+255);
FFTdata=fft_my(rxFIRdata_syn);
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++降 PAPR 逆矩阵变换++++++++++++++++++++++
fftdata_reg=[FFTdata(193:256),FFTdata(1:64)];
dematrix_data=fftdata_reg*pinv(matix_data);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++++++++++相位补偿+++++++++++++++++++++++++++
rx_qpsk_din_th=phase_comp(dematrix_data);
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++++QPSK 解调部分++++++++++++++++++++++++
% figure
% plot(rx_qpsk_din_th,'.')
% xlabel('星座图')
datatemp4=deqpsk(rx_qpsk_din_th);
datatemp4=sign(datatemp4);
for m=1:192
if datatemp4(m)==-1
datatemp4(m)=1;
elseif datatemp4(m)==1
datatemp4(m)=0;
end
end
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++信道解交织++++++++++++++++++++++++++++
interdout=interlacedecode(datatemp4,8,24);
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%++++++++++++++++++++以下为 viterbi 译码部分++++++++++++++++++++++
decodeDATA=viterbi(G,k0,interdout);
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%+++++++++++++++++++++++++误比特统计++++++++++++++++++++++++++++
err_final=sum(abs(decodeDATA-datain))
err_int_final=err_int_final+err_final
end
end
disp('------------------------------------------------------');
SNR_System
err_rate_final((SNR_System-SNR_Pre)./interval_SNR+1)=err_int_final/(90*(frame_num-2))
disp('------------------------------------------------------');
end
disp('--------------end-------------------');
SNR_System=SNR_Pre:interval_SNR:5;
figure
semilogy(SNR_System,err_rate_final,'b-*');
xlabel('信噪比/dB')
ylabel('误码率')
axis([-5,5,0,1])
grid on
%+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%************************beginning of file*****************************
%cnv_encd.m
%卷积码编码程序
function output=cnv_encd(G,k0,input)
% cnv_encd(G,k0,input),k0 是每一时钟周期输入编码器的 bit 数,
% G 是决定输入序列的生成矩阵,它有 n0 行 L*k0 列 n0 是输出 bit 数,
% 参数 n0 和 L 由生成矩阵 G 导出,L 是约束长度。L 之所以叫约束长度
% 是因为编码器在每一时刻里输出序列不但与当前输入序列有关,
% 而且还与编码器的状态有关,这个状态是由编码器的前(L-1)k0。
% 个输入决定的,通常卷积码表示为(n0,k0,m),m=(L-1)*k0 是编码
% 器中的编码存贮个数,也就是分为 L-1 段,每段 k0 个
% 有些人将 m=L*k0 定义为约束长度,有的人定义为 m=(L-1)*k0
% 查看是否需要补 0,输入 input 必须是 k0 的整数部
%+++++++++++++++++++++++variables++++++++++++++++++++++++++++
% G
% k0
% input
% output
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
决定输入序列的生成矩阵
每一时钟周期输入编码器的 bit 数
输入数据
输入数据
if rem(length(input),k0)>0
input=[input,zeros(size(1:k0-rem(length(input),k0)))];
end
n=length(input)/k0;
% 检查生成矩阵 G 的维数是否和 k0 一致
if rem(size(G,2),k0)>0
error('Error,G is not of the right size.')
end
% 得到约束长度 L 和输出比特数 n0
L=size(G,2)/k0;
n0=size(G,1);
% 在信息前后加 0,使存贮器归 0,加 0 个数为(L-1)*k0 个
u=[zeros(size(1:(L-1)*k0)),input,zeros(size(1:(L-1)*k0))];
% 得到 uu 矩阵,它的各列是编码器各个存贮器在各时钟周期的内容
u1=u(L*k0:-1:1);
%将加 0 后的输入序列按每组 L*k0 个分组,分组是按 k0 比特增加
%从 1 到 L*k0 比特为第一组,从 1+k0 到 L*k0+k0 为第二组,。。。。,
%并将分组按倒序排列。
for i=1:n+L-2
u1=[u1,u((i+L)*k0:-1:i*k0+1)];
end
uu=reshape(u1,L*k0,n+L-1);
% 得到输出,输出由生成矩阵 G*uu 得到
output=reshape(rem(G*uu,2),1,n0*(L+n-1));
% ************************end of file***********************************
%************************beginning of file*****************************
%interlacecode.m
function dout=interlacecode(din,m,n)
%实现信道的交织编码
%din 为输入交织编码器的数据,m,n 分别为交织器的行列值
输入数据
%+++++++++++++++++++++++variables++++++++++++++++++++++++++++
% din
% m
% n
% dout
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
交织器的行值
交织器的列值
输出数据
for j=1:m
temp(j,:)=din(j*n-(n-1):j*n);
end
dout_temp=reshape(temp,1,length(din));
dout=dout_temp(1:end);
%************************end of file**********************************
%************************beginning of file*****************************
%qpsk.m
%QPSK 调制映射
function dout=qpsk(din)
%+++++++++++++++++++++++variables++++++++++++++++++++++++++++
% din
% dout
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
输入数据
输出数据
din2=1-2*din;
din_temp=reshape(din2,2,length(din)/2);
for i=1:length(din)/2,
dout(i)=din_temp(1,i)+j*din_temp(2,i);
end
% ************************end of file***********************************
%************************beginning of file*****************************
%seq_train.m
%生成用于同步的训练符号
function dout=seq_train()
%第一帧产生短训练序列,第二帧产生长训练序列
%每个短训练符号由 16 个子载波组成,短训练序列
%是由伪随机序列经过数字调制后插 0 后,再经过
%IFFT 之后得到的。具体过程如下:首先采用抽头
%系数为[1 0 0 1 ]的 4 级移位寄存器产生长度为
%15 的伪随机序列之后末尾补 0,经过 QPSK 调制之
%后的伪随机序列只在 16 的整数倍位置上出现,其
%余的位置补 0,产生长度为 128 的序列,此序列再
%补 128 个 0 经过数据搬移后做 256 点的 IFFT 变换就
%得到 16 个以 16 为循环的训练序列,经过加循环前
%后缀就会产生 20 个相同的短训练序列。长训练序
%列的产生同短训练序列。
global seq_num
if seq_num==1
fbconnection=[1 0 0 1];
QPSKdata_pn=[m_sequence(fbconnection),0];
QPSKdata_pn=qpsk(QPSKdata_pn);
elseif seq_num==2
fbconnection=[1 0 0 0 0 0 1];