%*************************************************************************************
% This function pertains to the addition of AWGN with mean zero and % parameter 'variance' to an input signal. %
% AUTHOR: Wenbin Luo % DATE : 04/12/01 % % SYNOPSIS: y = awgn(x,var) % x ---> input signal % var ---> variance
% y ---> y = x + AWGN
%***********************************************************************************
function y = awgn(x,var) w = randn(1,length(x)); w = w - mean(w)*ones(size(w)); w = sqrt(var)*(w / std(w)); x = x(:); w = w(:); y = x + w;
%*************************************************************************************
% This function does the DS-SS modulation %
% AUTHOR: Wenbin Luo % DATE : 04/28/01 % % SYNOPSIS: y = ds_mod(c,x) % c ---> user code (column vector) % x ---> input signal (row vector)
% y ---> tmp = c*x, y = tmp(:) (ds-ss modulated signal, column vector)
%***********************************************************************************
function y = ds_mod(c,x) tmp = c*x; y = tmp(:);
%*************************************************************************************
% This function generates random +1/-1 sequence with independent identically % distributed symbols %
% AUTHOR: Wenbin Luo
% DATE : 04/28/01 % % SYNOPSIS: x = bingen(L)
% L ---> number of random symbols
%***********************************************************************************
function x = bingen(L)
%generate L symbols randomly with value +1 or -1 x = rand(1,L);
x(find(x<0.5)) = -1; x(find(x >=0.5)) = 1;
%*************************************************************************************
% This function does the DS-SS modulation %
% AUTHOR: Wenbin Luo % DATE : 04/28/01 % % SYNOPSIS: x = ds_demod(c,y) % c ---> user code (column vector)
% y ---> tmp = c*x, y = tmp(:) (ds-ss modulated signal, column vector) % x ---> input signal (row vector)
%***********************************************************************************
function x = ds_demod(c,y)
tmp = reshape(y, length(c), length(y)/length(c)); tmp = tmp';
%x is a column vector x = tmp * c;
% convert to row vector x = x';
%*************************************************************************************
% This function does the DS-SS modulation %
% AUTHOR: Wenbin Luo % DATE : 04/28/01 % % SYNOPSIS: y = ds_mod(c,x) % c ---> user code (column vector) % x ---> input signal (row vector)
% y ---> tmp = c*x, y = tmp(:) (ds-ss modulated signal, column vector)
%***********************************************************************************
function y = ds_mod(c,x) tmp = c*x; y = tmp(:);
%*********************************************************** % This mfunction generates faded envelope and phase % corresponding to Rayleigh fading %
% AUTHOR: Wenbin Luo % DATE : 04/27/01 %
% FUNCTION SYNOPSIS: % [env,phi] = fade(L,para) %
% Parameter Description:
% L : number of samples needed % variance : variance
%********************************************************** function [env,phi] = fade(L,variance) % Error check if variance <= 0
error('Positive variance needed') elseif nargin ~= 2
error('Insufficient input parameters') end
% Generate bivariate Gaussian uncorrelated % random variables mu = zeros(1,2);
C = variance*eye(2,2); r = mvnrnd(mu,C,L);
% Convert to polar coordinates and compute % magnitude and phase z = r(:,1) + j*r(:,2);
env = abs(z); phi = angle(z);
%********************************************************** %*********************************************************** % This mfunction generates two channels of faded % envelope and phase corresponding to % Rayleigh fading %
% AUTHOR: Wenbin Luo % DATE : 04/27/01
%
% FUNCTION SYNOPSIS:
% [env,phi] = fade_diversity(L,para) %
% Parameter Description:
% L : number of samples needed % variance : variance
%********************************************************** function [env1,env2] = fade_diversity(L,variance) % Error check if variance <= 0
error('Positive variance needed') elseif nargin ~= 2
error('Insufficient input parameters') end
% Generate bivariate Gaussian uncorrelated % random variables mu = zeros(1,4);
C = variance*eye(4,4); r = mvnrnd(mu,C,L);
% Convert to polar coordinates and compute % magnitude and phase z1 = r(:,1) + j*r(:,2); z2 = r(:,3) + j*r(:,4); env1 = abs(z1); env2 = abs(z2);
%********************************************************** %*********************************************************** % This mfunction generates frequency selective % Rayleigh fading %
% AUTHOR: Wenbin Luo % DATE : 05/02/01 %
% FUNCTION SYNOPSIS: % y = fade_fs(x,L) %
% Parameter Description: % y : output signal % x : input signal % L : number of independent Rayleigh % fading process
%********************************************************** function y = fade_fs(x,L)
% Generate bivariate Gaussian uncorrelated % random variables tmp1 = 0:1:(L-1); tmp1 = exp(-tmp1); tmp(1:2:2*L-1) = tmp1; tmp(2:2:2*L) = tmp1;
mu = zeros(1,2*L); C = 0.5*diag(tmp); x_len = length(x);
r = mvnrnd(mu,C,x_len);
% Convert to polar coordinates and compute magnitude x = x(:);
y = zeros(x_len,1); for i = 1:L,
z = r(:,2*i-1) + j*r(:,2*i);
env = abs(z); %phi = angle(z); tmp_y = env.*x;
tmp_y = [zeros(i-1,1); tmp_y(1:x_len-i+1)]; y = y + tmp_y; end
%**********************************************************
%********************************************************************** % This program computes the average BER of a DS-SS/BPSK % communication system with binary BCH code in the AWGN channel %
% AUTHOR: Wenbin Luo % DATE : 04/28/01 % % final11_extra.m %
%**********************************************************************
%function Plot_Pe = final11_extra()
clear all; %close all;
format long;
%set up the threshold Vt Vt = 0;
Plot_Pe = [];