OFDMwithwindowing.zip_OFDM 加窗_ofdm 加窗_ofdm峰均比_峰均比_降低峰均比

clear all; close all; carrier_count=200;%子载波数 symbols_per_carrier=12;%每子载波含符号数 bits_per_symbol=4;%每符号含比特数,16QAM调制 IFFT_bin_length=512;%FFT点数 PrefixRatio=1/4;%保护间隔与OFDM数据的比例 1/6~1/4 GI=PrefixRatio*IFFT_bin_length ;%每一个OFDM符号添加的循环前缀长度为1/4*IFFT_bin_length 即保护间隔长度为128 beta=1/32;%窗函数滚降系数 GIP=beta*(IFFT_bin_length+GI);%循环后缀的长度20 SNR=15; %信噪比dB %================================================== %================信号产生=================================== baseband_out_length = carrier_count * symbols_per_carrier * bits_per_symbol;%所输入的比特数目 carriers = (1:carrier_count) + (floor(IFFT_bin_length/4) - floor(carrier_count/2));%共轭对称子载波映射 复数数据对应的IFFT点坐标 conjugate_carriers = IFFT_bin_length - carriers + 2;%共轭对称子载波映射 共轭复数对应的IFFT点坐标 rand( 'twister',0); baseband_out=round(rand(1,baseband_out_length));%输出待调制的二进制比特流 %==============16QAM调制==================================== complex_carrier_matrix=qam16(baseband_out);%列向量 complex_carrier_matrix=reshape(complex_carrier_matrix',carrier_count,symbols_per_carrier)';%symbols_per_carrier*carrier_count 矩阵 figure(1); plot(complex_carrier_matrix,'*r');%16QAM调制后星座图 axis([-4, 4, -4, 4]); grid on %=================IFFT=========================== IFFT_modulation=zeros(symbols_per_carrier,IFFT_bin_length);%添0组成IFFT_bin_length IFFT 运算 IFFT_modulation(:,carriers ) = complex_carrier_matrix ;%未添加导频信号 ，子载波映射在此处 IFFT_modulation(:,conjugate_carriers ) = conj(complex_carrier_matrix);%共轭复数映射 %======================================================== figure(2); stem(0:IFFT_bin_length-1, abs(IFFT_modulation(2,1:IFFT_bin_length)),'b*-')%第一个OFDM符号的频谱 grid on axis ([0 IFFT_bin_length -0.5 4.5]); ylabel('Magnitude'); xlabel('IFFT Bin'); title('OFDM Carrier Frequency Magnitude'); figure(3); plot(0:IFFT_bin_length-1, (180/pi)*angle(IFFT_modulation(2,1:IFFT_bin_length)), 'go') hold on stem(0:carriers-1, (180/pi)*angle(IFFT_modulation(2,1:carriers)),'b*-');%第一个OFDM符号的相位 stem(0:conjugate_carriers-1, (180/pi)*angle(IFFT_modulation(2,1:conjugate_carriers)),'b*-'); axis ([0 IFFT_bin_length -200 +200]) grid on ylabel('Phase (degrees)') xlabel('IFFT Bin') title('OFDM Carrier Phase') %================================================================= signal_after_IFFT=ifft(IFFT_modulation,IFFT_bin_length,2);%OFDM调制 即IFFT变换 time_wave_matrix =signal_after_IFFT;%时域波形矩阵，行为每载波所含符号数，列ITTF点数，N个子载波映射在其内，每一行即为一个OFDM符号 figure(4); subplot(3,1,1); plot(0:IFFT_bin_length-1,time_wave_matrix(2,:));%第一个符号的波形 axis([0, 700, -0.2, 0.2]); grid on; ylabel('Amplitude'); xlabel('Time'); title('OFDM Time Signal, One Symbol Period'); %=========================================================== %=====================添加循环前缀与后缀==================================== XX=zeros(symbols_per_carrier,IFFT_bin_length+GI+GIP); for k=1:symbols_per_carrier; for i=1:IFFT_bin_length; XX(k,i+GI)=signal_after_IFFT(k,i); end for i=1:GI; XX(k,i)=signal_after_IFFT(k,i+IFFT_bin_length-GI);%添加循环前缀 end for j=1:GIP; XX(k,IFFT_bin_length+GI+j)=signal_after_IFFT(k,j);%添加循环后缀 end end time_wave_matrix_cp=XX;%添加了循环前缀与后缀的时域信号矩阵,此时一个OFDM符号长度为IFFT_bin_length+GI+GIP=660 subplot(3,1,2); plot(0:length(time_wave_matrix_cp)-1,time_wave_matrix_cp(2,:));%第一个符号添加循环前缀后的波形 axis([0, 700, -0.2, 0.2]); grid on; ylabel('Amplitude'); xlabel('Time'); title('OFDM Time Signal with CP, One Symbol Period'); %==============OFDM符号加窗========================================== windowed_time_wave_matrix_cp=zeros(1,IFFT_bin_length+GI+GIP); for i = 1:symbols_per_carrier windowed_time_wave_matrix_cp(i,:) = real(time_wave_matrix_cp(i,:)).*rcoswindow(beta,IFFT_bin_length+GI)';%加窗 升余弦窗 end subplot(3,1,3); plot(0:IFFT_bin_length-1+GI+GIP,windowed_time_wave_matrix_cp(2,:));%第一个符号的波形 axis([0, 700, -0.2, 0.2]); grid on; ylabel('Amplitude'); xlabel('Time'); title('OFDM Time Signal Apply a Window , One Symbol Period'); %========================生成发送信号，并串变换================================================== windowed_Tx_data=zeros(1,symbols_per_carrier*(IFFT_bin_length+GI)+GIP); windowed_Tx_data(1:IFFT_bin_length+GI+GIP)=windowed_time_wave_matrix_cp(1,:); for i = 1:symbols_per_carrier-1 ; windowed_Tx_data((IFFT_bin_length+GI)*i+1:(IFFT_bin_length+GI)*(i+1)+GIP)=windowed_time_wave_matrix_cp(i+1,:);%并串转换，循环后缀与循环前缀相叠加 end %======================================================= Tx_data_withoutwindow =reshape(time_wave_matrix_cp',(symbols_per_carrier)*(IFFT_bin_length+GI+GIP),1)';%没有加窗，只添加循环前缀与后缀的串行信号 Tx_data =reshape(windowed_time_wave_matrix_cp',(symbols_per_carrier)*(IFFT_bin_length+GI+GIP),1)';%加窗后 循环前缀与后缀不叠加 的串行信号 %================================================================= temp_time1 = (symbols_per_carrier)*(IFFT_bin_length+GI+GIP);%加窗后 循环前缀与后缀不叠加 发送总位数 figure (5) subplot(2,1,1); plot(0:temp_time1-1,Tx_data );%循环前缀与后缀不叠加 发送的信号波形 grid on ylabel('Amplitude (volts)') xlabel('Time (samples)') title('OFDM Time Signal') temp_time2 =symbols_per_carrier*(IFFT_bin_length+GI)+GIP; subplot(2,1,2); plot(0:temp_time2-1,windowed_Tx_data);%循环后缀与循环前缀相叠加 发送信号波形 grid on ylabel('Amplitude (volts)') xlabel('Time (samples)') title('OFDM Time Signal') %=================未加窗发送信号频谱================================== symbols_per_average = ceil(symbols_per_carrier/5);%符号数的1/5，10行 avg_temp_time = (IFFT_bin_length+GI+GIP)*symbols_per_average;%点数，10行数据，10个符号 averages = floor(temp_time1/avg_temp_time); average_fft(1:avg_temp_time) = 0;%分成5段 for a = 0:(averages-1) subset_ofdm = Tx_data_withoutwindow (((a*avg_temp_time)+1):((a+1)*avg_temp_time));% subset_ofdm_f = abs(fft(subset_ofdm));%将发送信号分段求频谱 average_fft = average_fft + (subset_ofdm_f/averages);%总共的数据分为5段，分段进行FFT，平均相加 end average_fft_log = 20*log10(average_fft); figure (6) subplot(2,1,1); plot((0:(avg_temp_time-1))/avg_temp_time, average_fft_log)%归一化 0/avg_temp_time : (avg_temp_time-1)/avg_temp_time hold on plot(0:1/IFFT_bin_length:1, -35, 'rd') grid on axis([0 0.5 -40 max(average_fft_log)]) ylabel('Magnitude (dB)') xlabel('Normalized Frequency (0.5 = fs/2)') title('OFDM Signal Spectrum without windowing') %===============加窗的发送信号频谱================================= symbols_per_average = ceil(symbols_per_carrier/5);%符号数的1/5，10行 avg_temp_time = (IFFT_bin_length+GI+GIP)*symbols_per_average;%点数，10行数据，10个符号 averages = floor(temp_time1/avg_temp_time); average_fft(1:avg_temp_time) = 0;%分成5段 for a = 0:(averages-1) subset_ofdm = Tx_data(((a*avg_temp_time)+1):((a+1)*avg_temp_time));%利用循环前缀后缀未叠加的串行加窗信号计算频谱 subset_ofdm_f = abs(fft(subset_ofdm));%分段求频谱 average_fft = average_fft + (subset_ofdm_f/averages);%总共的数据分为5段，分段进行FFT，平均相加 end average_fft_log = 20*log10(average_fft); subplot(2,1,2) plot((0:(avg_temp_time-1))/avg_temp_time, average_fft_log)%归一化 0/avg_temp_time : (avg_temp_time-1)/avg_temp_time hold on plot(0:1/IFFT_bin_length:1, -35, 'rd') grid on axis([0 0.5 -40 max(average_fft_log)]) ylabel('Magnitude (dB)') xlabel('Normalized Frequency (0.5 = fs/2)') title('Windowed OFDM Signal Spectrum') %====================添加噪声============================================ Tx_signal_power = var(windowed_Tx_data);%发送信号功率 linear_SNR=10^(SNR/10);%线性信噪比 noise_sigma=Tx_signal_power/linear_SNR; noise_scale_factor = sqrt(noise_sigma);%标准差sigma noise=randn(1,((symbols_per_carrier)*(IFFT_bin_length+GI))+GIP)*noise_scale_factor;%产生�