필터 지우기
필터 지우기

How to take 100 samples of a plot.

조회 수: 19 (최근 30일)
Heya :)
Heya :) 2020년 12월 29일
편집: Sindar 2020년 12월 30일
I have a task to take 100 samples of a plot at a fixed value of parameters a2, omega1, and omega2 and I will be changing a1 and take 100 samples. It consumes so much time so I am wondering is their a way to take a 100 samples of a plot.
clear all; close all; clc;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Simulation %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%avgnum=10;
%for avg=1:avgnum
OMEGA1= 1:0.2:6.4;
OMEGA2= 6.6:0.2:12;
%Erroravg_nonzero_x1_y1=zeros([1,length(OMEGA1)]);
%Erroravg_zero_x1_y1=zeros([1,length(OMEGA1)]);
%Erroravg_nonzero_x2_y2=zeros([1,length(OMEGA2)]);
%Erroravg_zero_x2_y2=zeros([1,length(OMEGA2)]);
for num1=1:length(OMEGA1)
for num2=1:length(OMEGA2)
%value of constants
a1=0.2;a2=0.3;
%omega1=5;omega2=4;
omega1=OMEGA1(num1);
omega2=OMEGA2(num2);
%omega1= 1:0.5:10;
%omega2= 11:0.5:20;
G=1;C12=0.01;C21=0.02;
dt=0.01; %step size
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x1(1)=0.5;
y1(1)=0.5;
x2(1)=1;
y2(1)=1;
for i=2:1000
x1(i)=x1(i-1)+((a1-x1(i-1)^2-y1(i-1)^2)*x1(i-1)-omega1*y1(i-1)+G*C12*(x2(i-1)-x1(i-1)))*dt;
y1(i)=y1(i-1)+((a1-x1(i-1)^2-y1(i-1)^2)*y1(i-1)+omega1*x1(i-1)+G*C12*(y2(i-1)-y1(i-1)))*dt;
x2(i)=x2(i-1)+((a2-x2(i-1)^2-y2(i-1)^2)*x2(i-1)-omega2*y2(i-1)+G*C21*(x1(i-1)-x2(i-1)))*dt;
y2(i)=y2(i-1)+((a2-x2(i-1)^2-y2(i-1)^2)*y2(i-1)+omega2*x2(i-1)+G*C21*(y1(i-1)-y2(i-1)))*dt;
end
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Observation %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Ndatamin=4;Ndatamax=31;
Data=Ndatamin:1:Ndatamax;
Data=Data/Ndatamax;
Error_nonzero_x1=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_zero_x1=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_zero_y1=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_nonzero_x2=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_zero_x2=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_nonzero_y2=zeros([1,Ndatamax-Ndatamin+1]);%initialization
Error_zero_y2=zeros([1,Ndatamax-Ndatamin+1]);%initialization
count=0;
for N_m=Ndatamin:Ndatamax
count=count+1;
N_measurements=N_m;
N_basis=31;
%index=randi([20000,30000],1,N_m);
index=randi([100,499],1,N_m);
Xdot1=zeros([1,N_measurements]);
Ydot1=zeros([1,N_measurements]);
Xdot2=zeros([1,N_measurements]);
Ydot2=zeros([1,N_measurements]);
for ni=1:N_measurements
Xdot1(ni)=(x1(index(ni)+1)-x1(index(ni)))/dt;
Ydot1(ni)=(y1(index(ni)+1)-y1(index(ni)))/dt;
Xdot2(ni)=(x2(index(ni)+1)-x2(index(ni)))/dt;
Ydot2(ni)=(y2(index(ni)+1)-y2(index(ni)))/dt;
end
M=zeros([N_measurements,N_basis]);
for i=1:N_measurements
for j=1:N_basis
if j==1
M(i,j)=1;
elseif j==2
M(i,j)=x1(index(i));
elseif j==3
M(i,j)=y1(index(i));
elseif j==4
M(i,j)=x2(index(i));
elseif j==5
M(i,j)=y2(index(i));
elseif j==6
M(i,j)=x1(index(i))^2;
elseif j==7
M(i,j)=x2(index(i))^2;
elseif j==8
M(i,j)=y1(index(i))^2;
elseif j==9
M(i,j)=y2(index(i))^2;
elseif j==10
M(i,j)=x1(index(i))*x2(index(i));
elseif j==11
M(i,j)=x1(index(i))*y1(index(i));
elseif j==12
M(i,j)=x1(index(i))*y2(index(i));
elseif j==13
M(i,j)=x2(index(i))*y1(index(i));
elseif j==14
M(i,j)=x2(index(i))*y2(index(i));
elseif j==15
M(i,j)=y1(index(i))*y2(index(i));
elseif j==16
M(i,j)=x1(index(i))^3;
elseif j==17
M(i,j)=y1(index(i))^3;
elseif j==18
M(i,j)=x2(index(i))^3;
elseif j==19
M(i,j)=y2(index(i))^3;
elseif j==20
M(i,j)=x1(index(i))^2*x2(index(i));
elseif j==21
M(i,j)=x1(index(i))^2*y1(index(i));
elseif j==22
M(i,j)=x1(index(i))^2*y2(index(i));
elseif j==23
M(i,j)=x2(index(i))^2*x1(index(i));
elseif j==24
M(i,j)=x2(index(i))^2*y1(index(i));
elseif j==25
M(i,j)=x2(index(i))^2*y2(index(i));
elseif j==26
M(i,j)=y1(index(i))^2*x1(index(i));
elseif j==27
M(i,j)=y1(index(i))^2*x2(index(i));
elseif j==28
M(i,j)=y1(index(i))^2*y2(index(i));
elseif j==29
M(i,j)=y2(index(i))^2*x1(index(i));
elseif j==30
M(i,j)=y2(index(i))^2*x2(index(i));
else
M(i,j)=y2(index(i))^2*y1(index(i));
end
end
end
end
figure
hold on
plot(x1,'r')
plot(x2,'g')
  댓글 수: 2
Image Analyst
Image Analyst 2020년 12월 29일
Define "take".
Heya :)
Heya :) 2020년 12월 29일
It means that I have to run the code 100 times.

댓글을 달려면 로그인하십시오.

채택된 답변

Sindar
Sindar 2020년 12월 30일
편집: Sindar 2020년 12월 30일
First, what are you actually doing with M, Xdot1, etc.? Currently, the code overwrites them each N_m loop, without doing anything with the results
Try this: define sampled vectors, so you can later vectorize things:
index=randi([100,499],1,N_m);
x1_samp0 = x1(index);
x1_samp1 = x1(index+1);
...
Xdot1=(x1_samp1-x1_samp0)/dt;
...
M(:,1)=1;
M(:,2)=x1_samp0;
...
M(:,6)=x1_samp0.^2;
edit: changed my mind on other option; don't do it. Here are some general tips, though:
  • if you have a set of conditions that can be expressed as variable=first, variable=second, etc. -- use a switch instead of if-elseif
  • If you have a loop running over a set of conditions and operations which have nothing else in common -- just run each line individually, then fill in the "else" portion after
for j=1:N_basis
if j==1
M(i,j)=1;
elseif j==2
M(i,j)=x1(index(i));
elseif j==3
M(i,j)=y1(index(i));
end
end
does the same as the below, but cleaner and faster:
M(i,1)=1;
M(i,2)=x1(index(i));
M(i,3)=y1(index(i));
  • many, many, many for loops can be replaced with vector operations. It's kinda the point of Matlab

추가 답변 (0개)

카테고리

Help CenterFile Exchange에서 Annotations에 대해 자세히 알아보기

태그

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by