mimo_water_filling.rar_mimo_water filling_water-filling

% in this programe a highly scattered enviroment is considered. The % Capacity of a MIMO channel with nt transmit antenna and nr recieve % antenna is analyzed. The power in parallel channel (after % decomposition) is distributed as water-filling algorithm % the pdf of the matrix lanada elements is depicted too. clear all close all clc nt_V = [1 2 3 2 4]; nr_V = [1 2 2 3 4]; N0 = 1e-4; B = 1; Iteration = 1e4; % must be grater than 1e2 SNR_V_db = [-10:3:20]; SNR_V = 10.^(SNR_V_db/10); color = ['b';'r';'g';'k';'c']; notation = ['-o';'->';'<-';'-^';'-s']; for(k = 1 : 5) nt = nt_V(k); nr = nr_V(k); for(i = 1 : length(SNR_V)) Pt = N0 * SNR_V(i); for(j = 1 : Iteration) H = random('rayleigh',1,nr,nt); [S V D] = svd(H); landas(:,j) = diag(V); [Capacity(i,j) PowerAllo] = WaterFilling_alg(Pt,landas(:,j),B,N0); end end f1 = figure(1); hold on plot(SNR_V_db,mean(Capacity'),notation(k,:),'color',color(k,:)) f2 = figure(2); hold on [y,x] = hist(reshape(landas,[1,min(nt,nr)*Iteration]),100); plot(x,y/Iteration,'color',color(k,:)); clear landas end f1 = figure(1) legend_str = []; for( i = 1 : length(nt_V)) legend_str =[ legend_str ;... {['nt = ',num2str(nt_V(i)),' , nr = ',num2str(nr_V(i))]}]; end legend(legend_str) grid on set(f1,'color',[1 1 1]) xlabel('SNR in dB') ylabel('Capacity bits/s/Hz') f2 = figure(2) legend(legend_str) grid on set(f2,'color',[1 1 1]) ylabel('pdf of elements in matrix landa in svd decomposition of marix H')