MATLAB: Smooth data to get the best approximation.

ischangeMATLABmedfilt1medilft2smoothdata

Hello everyone, I was wondering if anyone knows how I could process the input data in such a way as to obtain something similar to what I show in smooth data. The points marked in red and blue correspond to the change points when using the ischange tool

cI = ischange(YY,'MaxNumChanges',1);
scatter(XX(cI),YY(cI),'filled')

I include an attached data with the points shown in the graph being XX and YY the input data (the ones I intend to modify) and the XSmooth, YSmooth data the ones I intend to get.

I've tried with the methods include in the smoothdata function but i couldn't get the result i expected

methods = {'movmean','movmedian','gaussian','lowess','loess','rlowess','rloess','sgolay'};

Best Answer

I used curve fitting app you can workaround and change settings to get your result.

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MATLAB: How to find the local slope of an array of data

One way is to get a spline fit, then use diff() to get the slopes. Here is the code:

% Demo to show spline interpolation.
% Clean up / initialize
clc; 
close all; 
clear all; 
workspace; % Display workspace panel.
% Create the original knot points.
lengthX = 10;
x = 1:lengthX;
y = rand (lengthX,1);
% Plot it and show how the line has sharp bends.
plot(x, y, '-sr', 'LineWidth', 2);
set(gcf, 'Position', get(0,'Screensize')); % Maximize figure.
% Use splines to interpolate a smoother curve,
% with 10 times as many points,
% that goes exactly through the same data points.
samplingRateIncrease = 10;
newXSamplePoints = linspace(1, lengthX, lengthX * samplingRateIncrease);
smoothedY = spline(x, y, newXSamplePoints);
% Plot smoothedY and show how the line is
% smooth, and has no sharp bends.
hold on; % Don't destroy the first curve we plotted.
plot(newXSamplePoints, smoothedY, '-ob');
title('Spline Interpolation Demo', 'FontSize', 20);
legend('Original Points', 'Spline Points');
% Mathworks Demo code from their Help
% x = 0:10;
% y = sin(x);
% xx = 0:.25:10;
% yy = spline(x,y,xx);
% plot(x,y,'o',xx,yy)
slopes = [0, diff(smoothedY)];
plot(newXSamplePoints, slopes, 'k-', 'LineWidth', 3);
% Draw x axis
line(xlim, [0,0], 'Color', 'k', 'LineWidth', 2);
grid on;
legend('Original Points', 'Spline Points', 'Slope');

MATLAB: Given matrices XX and YY of sizes 3X3, how can I generate the following matrix: [XX(1,1) YY(1,1); XX(1,2) YY(1,2)…

or:

XX = magic(3);
YY = eye(3);
XX_trans = transpose(XX);
YY_trans = transpose(YY);
out = [XX_trans(:) YY_trans(:)];

Best Answer

Related Solutions

MATLAB: How to find the local slope of an array of data

MATLAB: Given matrices XX and YY of sizes 3X3, how can I generate the following matrix: [XX(1,1) YY(1,1); XX(1,2) YY(1,2)…

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