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Communication Systems Reference Curves

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Communication Systems Reference Curves

by

Idin Motedayen-Aval

 

These files show how to match expected theoretical results by Monte Carlo simulations.

Fading_BER_Curves(SNRs)
function varargout = Fading_BER_Curves(SNRs)
%ConvCode_BER_Curves Bit Error Rate plots for convolutional coded system.
%   h = ConvCode_BER_Curves plots an upper bound of the bit error rate
%   (BER) verus SNR per information bit (Eb/No) for a constraint length 7
%   (K=7), rate 1/2 code (R=1/2) over an AWGN channel with BPSK modulation.
% 
%   The theoretical results are produced using the BERCODING function
%   from the Communications Toolbox, which uses expressions taken from:
%   [1] J. G. Proakis, Digital Communications, McGraw-Hill, 4th edition, 2001.

%   Written by Idin Motedayen-Aval
%   Applications Engineer
%   The MathWorks, Inc.
%   zq=[4 2 5 -15 -1 -3 24 -57 45 -12 19 -12 15 -8 3 -7 8 -69 53 12 -2];
%   char(filter(1,[1,-1],[105 zq])), clear zq

x = SNRs;    % Eb/No range

figure1 = figure;
k = 1;
for L = [1, 2, 3, 4, 6, 8];
    ber(k,:) = berfading(x,'psk',2,L);
    k = k+1;
end
ber(k,:) = berawgn(x,'psk',2,'nondiff'); % AWGN BER curve for reference

% Plot the results
line_h = semilogy(x,ber,':');
grid on
ylim([1e-006 1]);
xlim([min(SNRs) max(SNRs)]);
% legend show

% Create title
myT = sprintf('BER, Rayleigh Flat Fading Channel with diversity');
title(myT,'Interpreter','latex');
% Create xlabel
xlabel('SNR per transmitted bit, $^{E_b}/_{N_0}$ (dB)','Interpreter','latex');
% Create ylabel
ylabel('Bit Error Rate, BER');

% Create annotations

hold off

if nargout
    varargout{1} = figure1;
    if nargout > 1
        varargout{2} = line_h;
    end
end

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