1.算法运行效果图预览

2.算法运行软件版本

MATLAB2022a

3.部分核心程序

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for ij=1:Nframe      [sj,ij]%64个符号的训练序列msg1          = round(63*rand(64,1));msg2          = repmat(msg1,2,1); msg2_64QAM    = qammod(msg2,Morder);dataPre       = round(63*rand(36,1));  dataPre_64QAM = qammod(dataPre,Morder);  %数据   signal        = round(63*rand(nsym-2*64-36,1));      signal_64QAM  = qammod(signal,Morder);Tx_din        = [dataPre;msg2;signal];Tx_bin        = de2bi(Tx_din,6,'left-msb');Tx_bin2       = Tx_bin.';%发送数据的二进制数Tx_bin3       = reshape(Tx_bin2,[],1);   dataTxSig     =[dataPre_64QAM;msg2_64QAM;signal_64QAM];dataTx        = dataTxSig.*Carrier.';
..............................................................................   %积分滤波器PLL_Phase_Part(i)= Discriminator(i)*C1;PLL_Freq_Part(i) = Discriminator(i-1)*C2+PLL_Freq_Part(i-1);Freq_Control(i)  = PLL_Phase_Part(i)+PLL_Freq_Part(i);NCO_Phase(i)     = NCO_Phase(i-1)+Freq_Control(i-1);fre(i)           = NCO_Phase(i)/(2*pi*i)*fs;%平滑处理if i-len<=99Discriminator2(i) = mean(Discriminator(len+1:i));                fre2(i)           = mean(fre(len+1:i));elseDiscriminator2(i) = mean(Discriminator(i-99:i));fre2(i)           = mean(fre(i-99:i));endend         if (sj==12 | sj==15)& ij==1figure    
subplot(2,2,1)
plot(fre2(len+1:nsym)); 
grid on;
title('锁相环频率响应');subplot(2,2,2)
plot(NCO_Phase(len+1:nsym)); 
grid on;
title('NCO输出相位');subplot(2,2,3)
plot(Discriminator2(len+1:nsym));  
title('鉴相器输出');  
grid on;subplot(2,2,4)
plot(dataPhaEst(2000:end),'b*');  
title('锁相环之前星座图');   
grid on;figure
plot(Signal_PLL(2000:end),'r.');  
title('锁相环之后星座图');   
grid on; ends_pll=Signal_PLL; 
dRx2=qamdemod(s_pll,Morder);
dRx1=reshape(dRx2,[],1);
dRx_bit1=de2bi(dRx1,6,'left-msb'); 
dRx_bit2=dRx_bit1.';
dRxbit=reshape(dRx_bit2,[],1);for m=(1200+1):nsym if dRxbit(m)~=Tx_bin3(m)  err_bit(ij)=err_bit(ij)+1;       end                         
end                                    
end                                
sum_bit_err=sum(err_bit);
BER(sj)=sum_bit_err/(Nframe*(4*nsym-300*4));
endfigure;
semilogy(SNRss,BER,'b-o');
grid onxlabel('SNR');
ylabel('error');
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4.算法理论概述

正交频分复用（OFDM）是一种在现代通信系统中广泛使用的调制技术，它具有高效的频谱利用和抗多径衰落等特点。64QAM（64-ary Quadrature Amplitude Modulation）是一种调制方式，可以在每个符号中传输更多的位信息。在OFDM系统中，保持载波同步对确保数据传输的可靠性至关重要。