【数字信号调制】基于matlab GUI QPSK调制+解调【含Matlab源码 646期】

一、获取代码方式

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二、QPSK简介

1 调制模型
与QPSK相比，OQPSk调制方式在复数通道Q通道中，插入了一个比特的时延Tb。

2.优点
OQPSK能够把180度的相移变化变成两个π /2的相位变化，因此相轨道远离了原点

3 解调
因为调制时Q路进行了延时，所以解调时I路进行延时

三、部分源代码

function varargout = GUI_QPSK(varargin)
% GUI_QPSK MATLAB code for GUI_QPSK.fig
%      GUI_QPSK, by itself, creates a new GUI_QPSK or raises the existing
%      singleton*.
%
%      H = GUI_QPSK returns the handle to a new GUI_QPSK or the handle to
%      the existing singleton*.
%
%      GUI_QPSK('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in GUI_QPSK.M with the given input arguments.
%
%      GUI_QPSK('Property','Value',...) creates a new GUI_QPSK or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before GUI_QPSK_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to GUI_QPSK_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES% Edit the above text to modify the response to help GUI_QPSK% Last Modified by GUIDE v2.5 03-Dec-2018 20:37:56% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...'gui_Singleton',  gui_Singleton, ...'gui_OpeningFcn', @GUI_QPSK_OpeningFcn, ...'gui_OutputFcn',  @GUI_QPSK_OutputFcn, ...'gui_LayoutFcn',  [] , ...'gui_Callback',   []);
if nargin && ischar(varargin{1})gui_State.gui_Callback = str2func(varargin{1});
endif nargout[varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
elsegui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT% --- Executes just before GUI_QPSK is made visible.
function GUI_QPSK_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to GUI_QPSK (see VARARGIN)% Choose default command line output for GUI_QPSK
handles.output = hObject;
s=round(rand(1,100));  %生成二进制基带数据并画出基带信号图
N=1:100;
%figure(1);subplot(311);stem(N,s);title('基带信号');grid on;Ps=1;
M=4;        %QPSK星座图
d=sqrt(Ps)*sin(pi/M);
A=[1+1*i,-1+1*i,-1-1*i,1-1*i]*d;
%subplot(312);scatter(real(A),imag(A),'filled');title('QPSK星座图');hold on;
theta=0:pi/100:2*pi;
x=cos(theta);
y=sin(theta);
%plot(x,y);grid on;  Maptable=[0 0;0 1;1 1;1 0];        %QPSK格雷码比特映射 
for j=1:2:100for m=1:Mif isequal(s(j:j+1),Maptable(m,:)) Qu((j+1)/2)= (2*m-1)*pi/4;x((j+1)/2)=A(m);breakendend
end               %基带数据s携带的信息映射到X[n] Am=1;             %载波调制
T=0.0001;            fc=6/T;
Smpl=1000;
deltaT=T/Smpl;    %连续时间离散化间隔
Ns=5;            %画出Ns个符号的波形
t=deltaT:deltaT:Ns*T;  %离散时间序列for j=1:Nsindex=(j-1)*Smpl+1:j*Smpl; %第i个符号对应的离散时间序号g(index)=1;              %矩形脉冲成型X(index)=Am*g(index).*cos(2*pi*fc*t(index)+Qu(ceil(index/100.01))); %载波调制信号
end%subplot(313);plot(t,X);title('QPSK调制信号波形');SNR_dB=15;    %定义信噪比     
SNR=10^(SNR_dB/10); %定义线性信噪比
Ps=1;     %发射功率
Pn=Ps/SNR;  %噪声方差
x=x(1:50);
z=sqrt(Pn/2)*(randn(size(x))+randn(size(x))*i); %生成白噪声
h=1;  %AWGN信道下，信道增益h=1
y=h*x+z;   %基带接受信号
%figure(2);subplot(211);scatter(real(y(1:10)),imag(y(1:10)),'filled'); %y的星座图title('QPSK接收星座图');for j=1:length(y)   Dist=abs(y(j)-A);                  %第j个接受信号与各星座图点的距离[~,Index]=min(Dist);               %找到距离最近的点x_est(j)=A(Index);                 %得到发射调制信号的估计s_est(2*j-1:2*j)=Maptable(Index,:);   %得到比特数据的估计
end
W=1:100;
%subplot(212);stem(W,s_est);title('QPSK解调后信号');for n=1:25Pe_t(n)=2*sqrt(2)/4*erfc(sqrt(2*n)*sin(pi/M))-sqrt(2)/4*erfc(sqrt(2*n)*sin(pi/M))* sqrt(2)/4*erfc(sqrt(2*n)*sin(pi/M));Pb_t(n)=0.5*Pe_t(n);
end
PESUM=0;
PBSUM=0
for n=1:25
for m=1:1000SNR=n;Ps=1;  Pn=Ps/SNR;z=sqrt(Pn/2)*(randn(size(x))+randn(size(x))*i);h=1;y=h*x+z;for j=1:length(y)Dist=abs(y(j)-A);[~,Index]=min(Dist);x_est(j)=A(Index);s_est(2*j-1:2*j)=Maptable(Index,:);end
for  k=1:100
if(s(k)+s_est(k)==1)PBSUM=PBSUM+1;
endend
for k1=1:50
if isequal(x(k1),x_est(k1))PESUM=PESUM+0;elsePESUM=PESUM+1;
end
end
end
Pb(n)=PBSUM/1000/100;
Pe(n)=PESUM/1000/50;
PBSUM=0;
PESUM=0;
endSNRX=1:25;
%figure(3);plot(SNRX,Pb); hold on;plot(SNRX,Pe);scatter(SNRX,Pe_t);scatter(SNRX,Pb_t, 'filled');
%xlabel('信噪比 SNR(r/dB)');title('AWGN信道下误码率与误符号率曲线'); axis([1 25 0 1])；grid on;hold off;H=sqrt(1/2)*(randn+i*randn);
Y=H*x+z;
%figure(4);subplot(211);scatter(real(Y(1:10)),imag(Y(1:10)),'filled');title('4PSK信道均衡前星座图');Y1=Y/H;
%subplot(212);scatter(real(Y1(1:10)),imag(Y1(1:10)),'filled');title('4PSK信道均衡后星座图');
PESUM1=0;
PBSUM1=0
for n=1:25for m=1:1000SNR=n;Ps=1;  Pn=Ps/SNR;z=sqrt(Pn/2)*(randn(size(x))+randn(size(x))*i);
Y1=(H*x+z)/H;for j=1:length(Y1)Dist=abs(Y1(j)-A);[~,Index]=min(Dist);x_est1(j)=A(Index);s_est1(2*j-1:2*j)=Maptable(Index,:);end
for  k=1:100
if(s(k)+s_est1(k)==1)PBSUM1=PBSUM1+1;
end
end
for k1=1:50
if isequal(x(k1),x_est1(k1))PESUM1=PESUM1+0;elsePESUM1=PESUM1+1;
end

四、运行结果

五、matlab版本及参考文献

1 matlab版本
2014a

2 参考文献
[1] 沈再阳.精通MATLAB信号处理[M].清华大学出版社，2015.
[2]高宝建,彭进业,王琳,潘建寿.信号与系统——使用MATLAB分析与实现[M].清华大学出版社，2020.
[3]王文光,魏少明,任欣.信号处理与系统分析的MATLAB实现[M].电子工业出版社，2018.