📄 bpsk.asv
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% bpsk.m
%
% Simulation program to build BPSK modulation singal
%************************ Preparation part *****************************
NUM = 1024; % The number of FFT point
sr=1000000.0; % Symbol rate
fc = 1000000; % The frequency of the carrier
fs = 32000000; % The sample rate
ml=1; % Number of modulation levels
br=sr.*ml; % Bit rate (=symbol rate in this case)
nd=NUM*fc/fs; % The number of symbols
n =fc/sr; % The number of the carrier in a symbol
ebno=15; % Eb/N0
IPOINT=32; % Number of oversamples
Ts = 1/sr; % The period of the sourse signal
t=0:1/fs:1/fc*nd*n-1/fs; % The sample point in one carrier period
fcos = cos(2*pi*fc*t); % cosin carrier
%*********************** Filter initialization **************************
irfn=21; % Number of filter taps
alfs=0.33; % Rolloff factor
[xh]=hrollfcoef(irfn,IPOINT,sr,alfs,1); % Transmitter filter coefficients
%fprintf('%f\n',xh);
%*********************** Data generation **********************************
data=rand(1,nd)>0.5; % rand: built in function
%>>>>>>>>>>>>>>fprintf('%d',data);
%*********************** Bpsk modulation **********************************
%data1=data.*2-1;
[data2]=oversample(data,nd,IPOINT);
data3=conv(data2,xh); %(conv: build in function)
%fprintf('%f\n',data3);
data4=data3(irfn*IPOINT/2-2:NUM+irfn*IPOINT/2-3); % date4 is the baseband singal of BPSK
modulation = data4.*fcos; % The modulation is the BPSK singal
%*********************** find the ampitude and phase **********************************
modulation=modulation+0.001;
hxn=hilbert(modulation);
y=imag(hxn);
x=real(hxn);
z=sqrt(x.*modulation+y.*y); %z is ampitute
zint=ceil(10000*z); % save the result
fprintf('\n'); %
fprintf('%d,\n',zint); %
z_ph1=y./x;
for i=1:NUM
if (y(i)>0)&(x(i)>0)
z_ph(i)=atan(z_ph1(i));
elseif (y(i)>0)&(x(i)<0)
z_ph(i)=pi+atan(z_ph1(i));
elseif (y(i)<0)&(x(i)<0)
z_ph(i)=pi+atan(z_ph1(i));
elseif (y(i)<0)&(x(i)>0)
z_ph(i)=2*pi+atan(z_ph1(i));
elseif (y(i)>0)&(x(i)==0)
z_ph(i)=0.5*pi;
elseif (y(i)<0)&(x(i)==0)
z_ph(i)=1.5*pi;
end % z_ph is the phase
end
%*************************find the rmax********************************
%x(1)=0;
%for i=1:length(z)-1 %
% x(i+1)=x(i)+z(i);
% ma=x(1024)/NUM;
%end
a=sum(z);
ma=a/NUM;
for i=1:length(z)
an(i)=z(i)./ma;
an(i)=an(i)-1;
an(i)=an(i)*an(i);
end
%fprintf('%f\n',an);
y1=fft(an,NUM);
yxk=abs(y1(1:NUM/2));
for i=1:NUM/2
for j=1:NUM/2-i
t=yxk(j);yxk(j)=yxk(j+1);yxk(j+1)=t;
end
end
%fprintf('%f\n',yxk);
max=10*yxk(NUM/2)/NUM;
fprintf('\nrmax=%f',max);
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