📄 qpsk_test.m
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%******************************
% QPSK Demodulation Test *
%******************************
%
% File Name: qpsk_test.m
% Author: Qin Zhang
% Last Modified on: 6/9/1999
%
%*******************************
%************************
% Block Phase Locking *
%************************
clear;
load sc1005.dat;
%load a:\lecroy_1.dir\sc1007.dat;
wave=sc1005';
length(wave)
fs=1e9;
% Set the estimated frequency draft;
% equal to 1 to 100.
% 1 corresponding to low draft, 100, high LO draft.
frequency_draft=1;
%***********************************************
% generate local carrier for down converting
%***********************************************
f_lo=(480-50)*1e6; % carrier
t=[0:length(wave)-1]/fs;
carrier_a=sin(2*pi*f_lo*t); % carrier sine;
if_data=wave.*carrier_a; % down converting
%************************************
% Design A Low-Pass Filter *
%************************************
f_lowpass=[ 0, 65/500, 80/500 , 1. ];
m= [ 1., 1.0 , 1e-5, 1e-5 ];
n1=80;
b=firls(n1, f_lowpass, m);
if_data=filter(b,1,if_data);
% save if_50_data for demod
if_50_data=if_data;
%***************************
% Times 2 *
%***************************
if_data=if_data.*if_data;
%***************************
% Times 4 *
%***************************
if_data=if_data.*if_data;
%*********************************
% Design A Low-Pass Filter *
%*********************************
b=fir1(400,[213/500 220/500]);
a=1;
if_data=filter(b,a,if_data);
%***************************
% sign *
%***************************
if_data=sign(if_data);
if_data=filter(b,a,if_data);
%***********************
% count cycle
%***********************
carrier_ref=if_data(1000:5000-100);
length_ref=length(carrier_ref);
cycle_count=0;
for i=1:length_ref-1;
if carrier_ref(i)*carrier_ref(i+1) <=0
cycle_count=cycle_count+1;
end
end
carrier_cycle=(length_ref-1)/fs/cycle_count*2;
carrier_frequency=1/carrier_cycle;
true_carrier_frequency=carrier_frequency/4;
%*******************
% Generate LO *
%*******************
length_wave=length(if_50_data);
t=[0:length_wave-1]/fs;
lo_cos =cos(2*pi*true_carrier_frequency*t);
lo_sin=cos(2*pi*true_carrier_frequency*t+pi*22.5/180);
%***************************
% Find LO Phase *
%***************************
%***************************
% Times 2 *
%***************************
if_data=if_50_data.^2;
lo_cos=lo_cos.^2;
lo_sin=lo_sin.^2;
%***************************
% Times 4 *
%***************************
if_data=if_data.^2;
lo_cos=lo_cos.^2;
lo_sin=lo_sin.^2;
%*********************************
% Design A Band-Pass Filter *
%*********************************
b=fir1(400,[213/500 220/500]);
a=1;
if_data=filter(b,a,if_data);
lo_cos=filter(b,a,lo_cos);
lo_sin=filter(b,a,lo_sin);
a_cos=if_data.*lo_cos;
a_sin=if_data.*lo_sin;
for section=1:frequency_draft;
step=5000/frequency_draft;
a_cos_a=sum(a_cos(1+(section-1)*step: section*step));
a_sin_a=sum(a_sin(1+(section-1)*step: section*step));
offset_theta=angle(a_cos_a+1i*a_sin_a)*180/pi;
%****************
% Down Convert LO
%***************
ttt=(offset_theta/4+45)*pi/180;
lo_cos_ref((1+(section-1)*step: section*step)) = ...
cos(2*pi*true_carrier_frequency*t((1+(section-1)*step: section*step))+ttt);
lo_sin_ref((1+(section-1)*step: section*step)) = ...
sin(2*pi*true_carrier_frequency*t((1+(section-1)*step: section*step))+ttt);
end
data_length=length(lo_cos_ref);
i_data=if_50_data(1:data_length).*lo_cos_ref;
q_data=if_50_data(1:data_length).*lo_sin_ref;
%*********************************
% Design A Low-Pass Filter *
%*********************************
b=fir1(100,25/500);
i_data=filter(b,1,i_data);
q_data=filter(b,1,q_data);
%******************
% Timing Loop *
%******************
f_symbol=19.51e6;
n_ratio=fs/f_symbol;
iq_offset=400;
eye_max=0;
for timing_offset=0:50
n(1)=0;
n_sample=0;
for i=2:4000
n(i)=round( (i+timing_offset)/n_ratio);
if n(i) > n(i-1)+.5 % take sample;
n_sample=n_sample+1;
i_sample(n_sample)=i_data(iq_offset+i);
q_sample(n_sample)=q_data(iq_offset+i);
%[i n_sample]
%pause
end
end
eye(timing_offset+1)=sum(i_sample.^2+q_sample.^2);
if eye(timing_offset+1) > eye_max
eye_max=eye(timing_offset+1);
max_offset=timing_offset;
i_sample_out=i_sample;
q_sample_out=q_sample;
end
end
iq_sample=i_sample_out+1i*q_sample_out;
plot(iq_sample, '*');
grid
title(' Demodulation Results');
pause;
%***************************
% correct phase error *
%***************************
ref_45=45*pi/180;
ref_135=135*pi/180;
phase_correction=0;
rate=1;
for kk=1:n_sample-2
angle_rad=angle(iq_sample(kk));
sign_i=sign(real(iq_sample(kk)));
sign_q=sign(imag(iq_sample(kk)));
switch sign_i*2+sign_q
case 3, eye_phase_error(kk)=angle_rad-ref_45;
case -1, eye_phase_error(kk)=angle_rad-ref_135;
case -3, eye_phase_error(kk)=ref_135+angle_rad;
case 1, eye_phase_error(kk)=ref_45 +angle_rad;
otherwise '!!!! Error !!!!';
end
%phase_correction=eye_phase_error(kk)*rate+phase_correction*(1-rate);
%phase_shift=cos(phase_correction)-1i*sin(phase_correction);
%iq_sample(kk+1)= iq_sample(kk+1)*phase_shift*2;
end
%plot(eye_phase_error*180/pi, '*');
%grid
%title(' Phase Error. ');
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