Rayleigh Fading Performance.rar_fading_fading rayleigh_rayleigh_

clc; clear; M=15; %number of multipaths N=10^5; %number of samples to generate fd=100; % Maximum doppler spread in hertz Ts=0.0001; % Sampling period in seconds h=rayleighFading(M,N,fd,Ts); h_re=real(h); h_im=imag(h); figure; subplot(2,1,1); plot([0:N-1]*Ts,h_re); title('Real part of impulse response of the Flat Fading channel'); xlabel('time(s)');ylabel('Amplitude |hI(t)|'); subplot(2,1,2); plot([0:N-1]*Ts,h_im); title('Imaginary part of impulse response of the Flat Fading channel'); xlabel('time(s)');ylabel('Amplitude |hQ(t)|'); figure; subplot(2,1,1); plot([0:N-1]*Ts,10*log10(abs(h))); title('Amplitude Response of the Flat Fading channel'); xlabel('time(s)');ylabel('Magnitude |h(t)|'); subplot(2,1,2); plot([0:N-1]*Ts,angle(h)); title('Phase response of the Flat Fading channel'); xlabel('time(s)');ylabel('Phase angle(h(t))'); %Statistical properties mean_re=mean(h_re) mean_im=mean(h_im) var_re=var(h_re) var_im=var(h_im) %comparing the PDF of real part of generated samples against the PDF of Gaussian distribution [val,bin]=hist(h_re,1000); % pdf of real part of generated Raleigh Fading Samples figure; plot(bin,val/trapz(bin,val)); %Normalizing the PDF to match theoretical result %Trapz function gives the total area under the PDF curve. It is used as the normalization factor hold on; x=-2:0.1:2; y=normpdf(x,0,sqrt(0.5)); % theoretical gaussian pdf plot(x,y,'r'); title('Probability density function'); legend('Simulated pdf','Theoretical Gaussian pdf'); figure; %comparing the PDF of overal response of the channel against the PDF of Rayleigh distribution [val,bin]=hist(abs(h),1000); % pdf of generated Raleigh Fading samples plot(bin,val/trapz(bin,val)); %Normalizing the PDF to match theoretical result %Trapz function gives the total area under the PDF curve. It is used as the normalization factor hold on; z=0:0.1:3; sigma=1; y=2*z/(sigma^2).*exp(-z.^2/(sigma^2)); % theoretical Raleigh pdf plot(z,y,'r'); title('Probability density function'); legend('Simulated pdf','Theoretical Rayleigh pdf');