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

.......................................................................%子载波分配[~,pow2] = func_subcarriers_capacity(Ptotal, ch, N_subcarrier, K, noise, gamma);%功率分配ticianp      = func_power(ch,pow2,N_subcarrier,K,Ptotal,noise,gamma); time_end2 = toc;Avg_time2(ij1) = Avg_time2(ij1) + time_end2;for i=1:Kpow1_water(i) = func_waterfilling(shenp(i),pow1(i,:).*ch(i,:)/noise)/N_subcarrier;pow2_water(i) = func_waterfilling(ianp(i),pow2(i,:).*ch(i,:)/noise)/N_subcarrier;end;cap2=cap2+sum(pow1_water);cap1=cap1+sum(pow2_water);if  ij2 == 1 cap_m1 = cap_m1 + pow1_water;cap_m2 = cap_m2 + pow2_water;endnorm1 = norm1 + norm(pow2_water/sum(pow2_water) - gamma/sum(gamma), inf);norm2 = norm2 + norm(pow1_water/sum(pow1_water) - gamma/sum(gamma), inf);endif  ij2 == 1cap_m1 = cap_m1/(N_ch*MTKL);cap_m2 = cap_m2/(N_ch*MTKL);figure(5);bar([gamma/sum(gamma); cap_m2/sum(cap_m2); cap_m1/sum(cap_m1)]', 'grouped');legend('Gamma方法', 'LINEAR方法', 'ROOT-FINDING方法');end;endcap1_mean(ij1)=cap1/(N_ch*MTKL);cap2_mean(ij1)=cap2/(N_ch*MTKL);norm1_mean(ij1) = norm1/(N_ch*MTKL);norm2_mean(ij1) = norm2/(N_ch*MTKL);
endfigure(1)
plot(diff_Vuser,cap1_mean,'-bs',...'LineWidth',1,...'MarkerSize',6,...'MarkerEdgeColor','k',...'MarkerFaceColor',[0.9,0.0,0.0]);
hold on
plot(diff_Vuser, cap2_mean,'-r>',...'LineWidth',1,...'MarkerSize',6,...'MarkerEdgeColor','k',...'MarkerFaceColor',[0.9,0.9,0.0]);
grid on
xlabel('用户数')
ylabel('容量 (bit/s/Hz)')
legend('LINEAR', 'ROOT-FINDING'); 
hold offAvg_time  = Avg_time/(N_ch*MTKL);
Avg_time2 = Avg_time2/(N_ch*MTKL);figure(3);
semilogy(diff_Vuser,Avg_time2,'-bs',...'LineWidth',1,...'MarkerSize',6,...'MarkerEdgeColor','k',...'MarkerFaceColor',[0.9,0.0,0.0]);
hold on
semilogy(diff_Vuser,Avg_time,'-r>',...'LineWidth',1,...'MarkerSize',6,...'MarkerEdgeColor','k',...'MarkerFaceColor',[0.9,0.9,0.0]);
grid on
xlabel('用户数')
ylabel('平均仿真时间 (s)')
legend('LINEAR', 'ROOT-FINDING');
0040

4.算法理论概述

在OFDM通信系统中，资源分配是一项关键任务，它涉及将可用的频谱资源和功率分配给不同的子载波，以实现高效的数据传输。为了降低计算复杂度并提高系统性能，低复杂度的资源分配算法成为研究的焦点之一。OFDM（正交频分复用）是一种广泛用于无线通信的调制技术，它将高速数据流分成多个低速子流，并将它们调制在不同的正交子载波上。这样可以减少多径干扰，提高频谱利用率。

考虑一个具有N个子载波的OFDM系统。信道的频率响应可以表示为H(k)，其中k表示子载波索引。发送的数据符号为X(k)，接收端接收到的信号为Y(k)。接收信号可以表示为：