Is there some empirical mode decomposition library in java? [closed] - java
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I would like to ask you about any empirical mode decomposition library written in java. I cannot find any. Best if it is open source.
Thank you
I have just found a C implementation ( https://code.google.com/p/realtime-emd/ ) and translated it to Java. So please note that this code snipped is not Java styled code, it is just Java code that compiles and runs.
/*
* To change this template, choose Tools | Templates
* and open the template in the editor.
*/
package tryout.emd;
/**
*
* #author Krusty
*/
public class Emd {
private void emdSetup(EmdData emd, int order, int iterations, int locality) {
emd.iterations = iterations;
emd.order = order;
emd.locality = locality;
emd.size = 0;
emd.imfs = null;
emd.residue = null;
emd.minPoints = null;
emd.maxPoints = null;
emd.min = null;
emd.max = null;
}
private void emdResize(EmdData emd, int size) {
int i;
// emdClear(emd);
emd.size = size;
emd.imfs = new double[emd.order][]; // cnew(double*, emd->order);
for(i = 0; i < emd.order; i++) emd.imfs[i] = new double[size]; // cnew(double, size);
emd.residue = new double[size]; // cnew(double, size);
emd.minPoints = new int[size / 2]; // cnew(int, size / 2);
emd.maxPoints = new int[size/2]; //cnew(int, size / 2);
emd.min = new double[size]; // cnew(double, size);
emd.max = new double[size]; // cnew(double, size);
}
private void emdCreate(EmdData emd, int size, int order, int iterations, int locality) {
emdSetup(emd, order, iterations, locality);
emdResize(emd, size);
}
private void emdDecompose(EmdData emd, double[] signal) {
int i, j;
System.arraycopy(signal, 0, emd.imfs[0], 0, emd.size); // memcpy(emd->imfs[0], signal, emd->size * sizeof(double));
System.arraycopy(signal, 0, emd.residue, 0, emd.size); // memcpy(emd->residue, signal, emd->size * sizeof(double));
for(i = 0; i < emd.order - 1; i++) {
double[] curImf = emd.imfs[i]; // double* curImf = emd->imfs[i];
for(j = 0; j < emd.iterations; j++) {
emdMakeExtrema(emd, curImf);
if(emd.minSize < 4 || emd.maxSize < 4) break; // can't fit splines
emdInterpolate(emd, curImf, emd.min, emd.minPoints, emd.minSize);
emdInterpolate(emd, curImf, emd.max, emd.maxPoints, emd.maxSize);
emdUpdateImf(emd, curImf);
}
emdMakeResidue(emd, curImf);
System.arraycopy(emd.residue, 0, emd.imfs[i+1], 0, emd.size); // memcpy(emd->imfs[i + 1], emd->residue, emd->size * sizeof(double));
}
}
// Currently, extrema within (locality) of the boundaries are not allowed.
// A better algorithm might be to collect all the extrema, and then assume
// that extrema near the boundaries are valid, working toward the center.
private void emdMakeExtrema(EmdData emd, double[] curImf) {
int i, lastMin = 0, lastMax = 0;
emd.minSize = 0;
emd.maxSize = 0;
for(i = 1; i < emd.size - 1; i++) {
if(curImf[i - 1] < curImf[i]) {
if(curImf[i] > curImf[i + 1] && (i - lastMax) > emd.locality) {
emd.maxPoints[emd.maxSize++] = i;
lastMax = i;
}
} else {
if(curImf[i] < curImf[i + 1] && (i - lastMin) > emd.locality) {
emd.minPoints[emd.minSize++] = i;
lastMin = i;
}
}
}
}
private void emdInterpolate(EmdData emd, double[] in, double[] out, int[] points, int pointsSize) {
int size = emd.size;
int i, j, i0, i1, i2, i3, start, end;
double a0, a1, a2, a3;
double y0, y1, y2, y3, muScale, mu;
for(i = -1; i < pointsSize; i++) {
i0 = points[mirrorIndex(i - 1, pointsSize)];
i1 = points[mirrorIndex(i, pointsSize)];
i2 = points[mirrorIndex(i + 1, pointsSize)];
i3 = points[mirrorIndex(i + 2, pointsSize)];
y0 = in[i0];
y1 = in[i1];
y2 = in[i2];
y3 = in[i3];
a0 = y3 - y2 - y0 + y1;
a1 = y0 - y1 - a0;
a2 = y2 - y0;
a3 = y1;
// left boundary
if(i == -1) {
start = 0;
i1 = -i1;
} else
start = i1;
// right boundary
if(i == pointsSize - 1) {
end = size;
i2 = size + size - i2;
} else
end = i2;
muScale = 1.f / (i2 - i1);
for(j = start; j < end; j++) {
mu = (j - i1) * muScale;
out[j] = ((a0 * mu + a1) * mu + a2) * mu + a3;
}
}
}
private void emdUpdateImf(EmdData emd, double[] imf) {
int i;
for(i = 0; i < emd.size; i++)
imf[i] -= (emd.min[i] + emd.max[i]) * .5f;
}
private void emdMakeResidue(EmdData emd, double[] cur) {
int i;
for(i = 0; i < emd.size; i++)
emd.residue[i] -= cur[i];
}
private int mirrorIndex(int i, int size) {
if(i < size) {
if(i < 0)
return -i - 1;
return i;
}
return (size - 1) + (size - i);
}
public static void main(String[] args) {
/*
This code implements empirical mode decomposition in C.
Required paramters include:
- order: the number of IMFs to return
- iterations: the number of iterations per IMF
- locality: in samples, the nearest two extrema may be
If it is not specified, there is no limit (locality = 0).
Typical use consists of calling emdCreate(), followed by
emdDecompose(), and then using the struct's "imfs" field
to retrieve the data. Call emdClear() to deallocate memory
inside the struct.
*/
double[] data = new double[]{229.49,231.94,232.97,234,233.36,235.15,235.64,235.78,238.95,242.09,240.61,240.29,237.88,252.11,259.16,263.4,262.1,254.85,254.42,261.27,253.92,259.04,251.58,248.96,239.49,229.39,247.02,249.48,254.9,251.27,246.85,245.43,241.52,231.23,235.67,239.99,238.49,237.41,246.4,249.83,253.67,256.71,255.9,248.93,244.05,242.49,236.52,243.63,246.55,247.3,252.56,259.91,264.41,266.55,262.75,266.33,263.53,261.62,259.38,260.94,249.14,244.63,241.66,240.16,241.81,251.57,251.01,252.49,250.23,244.89,245.79,244.55,243.04,238.84,244.98,247.26,251.91,252.81,252.16,256.83,253.8,251.03,250.19,254.66,254.74,255.76,254.52,252.95,254.57,252.29,243.32,244.88,242.26,240.84,245.05,246.12,243.02,242.79,239.05,233.34,236.22,233.69,234.99,235.84,236.43,243.46,245.25,251.67,250.73,255.7,255.85,256.18,259.71,260.7,262.8,268.98,267.81,275.46,275.98,279.85,280.99,284.3,283.17,278.99,279.48,275.96,274.77,270.99,281.01,281.25,281.28,286,287.25,290.35,291.9,294.01,306.1,309.27,301,302.01,301.02,299.03,300.36,299.59,299.38,296.86,292.72,295.83,300.87,304.21,309.53,308.43,309.87,307.4,309.3,307.96,299.58,298.61,293.31,292.25,299.96,298.31,304.76,300.26,306.16,306.35,308.17,302.61,307.72,309.42,308.73,311.36,309.48,312.2,310.98,311.76,312.84,311.5,311.57,312.43,311.81,313.37,315.3,316.24,314.72,315.77,316.54,316.36,314.78,313.71,320.52,322.2,324.83,324.57,326.89,333.05,332.26,334.97,336.19,338.92,331.3,329.54,323.55,317.75,328.19,332.03,334.41,333.79,326.88,330.01,335.56,334.87,334.01,336.99,342.22,345.45,348.33,344.81,347.06,349.32,350.02,353.16,348.47,340.94,329.32,333.22,333.47,338.6,343.52,339.72,342.46,349.69,350.12,345.61,346,342.8,337.15,342.33,343.86,335.95,320.95,325.46,321.59,329.99,331.84,329.88,335.5,341.89,340.82,341.33,339.06,338.94,335.1,331.83,329.59,328.76,328.8,325.86,321.72,323.28,326.9,323.3,318.47,322.74,328.59,333.01,341.07,343.32,340.8,340.54,337.23,340.52,336.78,338.64,339.98,337.23,337.15,338.06,339.86,337.7,337.06,331.15,324.15,326.91,330.54,331.18,326.02,325.22,323.07,327.54,325.81,328.15,338.28,336.03,336.6,334.01,328.76,322.93,323.12,322.39,316.96,317.64,323.32,317.78,316.24,311.47,306.67,316.37,313.76,322.14,317.39,322.93,326.06,324.87,326.46,333.84,339.84,342.11,347.4,349.84,344.28,344.04,348.19,347.95,354.9,363.54,366.51,376.28,376.66,382.51,387.56,392.34,381.81,381.07,379.76,385.86,378.24,381.8,367.01,363.37,343.52,363.74,353.71,363.44,366.64,372.89,370.04,370,356,346.26,346.66,363.35,365.85,363.46,373.05,379.27,379.29,374.27,370.57,363.78,369.32,373.39,373.6,367.12,369.51,374.06,378.61,382.17,389.51,400.33,402.1,400.83,390.79,393.2,392.1,388.3,386.11,379.85,370.85,364.32,362.28,367.87,367.01,359.65,378.14,389.3,391.15,397.22,410.42,408.46,410.65,387.68,384.46,382.09,394.63,386.85,389.6,393.58,393.84,393.67,385.63,386.5,392.01,389.25,388.76,395.08,384.43,374.65,374.06,368.85,378.16,374.21,367.05,364.65,358.88,366.18,356.92,353.59,365.8,362.96,371.71,377.28,379,382.22,380.22,378.41,379.94,382.82,381.09,378.14,369.75,368.54,370.56,371.72,385.08,385.57,387.61,392.26,395.37,391.59,394,393.88,399.94,402.09,406.56,410.81,410.15,411.62,410.95,409.82,408.29,413.04,417.33,416.01,408.76,415.68,408.87,434.4,432.43,435,440.58,443.95,443.67,442.63,447.06,451.24,455.96,463.6,479.63,479.88,488.81,495.48,484.01,488.43,488.34,500.72,498.96,502.22,508.07,511.33,520.71,527.55,529.53,530.22,518.53,515.71,516.12,527.11,530.21,536.85,552.51,573.4,569.49,569.5,584.6,589.33,585.96,582.89,579.69,590.32,597.61,600.67,593.12,583.09,601.65,612.05,607.17,616.29,618.77,611.19,609.01,605.68,588.62,564.21,592.97,591.64,571.32,557.25,556.01,544.9,593.26,591.02,586.45,567.95,566.15,569.9,565.85,549.74,553.85,552.59,553.56,554.86,551.16,542.9,537.99,531.09,515.57,515.82,545.87,541.68,554.9,549.8,546.86,556.56,563.27,561.87,545.59,548.8,547.38,555.78,556.03,564.39,555.49,560.35,556.46,555.84,558.37,569.7,571.29,569.66,561.81,566.12,555.1,556.33,558.73,553.43,567.97,576.26,582.96,593.2,589.25,597.04,591.52,587.84,582.46,588.37,590.25,590.28,589.62,597.46,587.71,587.26,584.43,559.19,559.1,569.1};
Emd emd = new Emd();
EmdData emdData = new EmdData();
int order = 4;
emd.emdCreate(emdData, data.length, order, 20, 0);
emd.emdDecompose(emdData, data);
for (int i=0;i<data.length;i++) {
System.out.print(data[i]+";");
for (int j=0;j<order; j++) System.out.print(emdData.imfs[j][i] + ";");
System.out.println();
}
}
private static class EmdData {
protected int iterations, order, locality;
protected int[] minPoints, maxPoints;
protected double[] min, max, residue;
protected double[][] imfs;
protected int size, minSize, maxSize;
}
}
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splitting the list in two parts in java
I have a array which is inside the for loop which is to be first converted to an list and then split into 2 halves the first part of the list is being stored in s1 list and second part is being stored in w1,this is to be done recursively till the loop ends and in the end of the method i will be returning both s1 and w1 this is the code i have done so far-: public Pair daubTrans( double s[] ) throws Exception { final int N = s.length; int n; //double t1[] = new double[100000]; //List<Double> t1 = new ArrayList<Double>(); // double s1[] = new double[100000]; List<double[]> w1 = new ArrayList<double[]>(); List<double[]> s1 = new ArrayList<double[]>(); List<double[]> lList = new ArrayList<double[]>(); //List<double[]> t1 = new ArrayList<double[]>(); for (n = N; n >= 4; n >>= 1) { double[] t1= transform( s, n ); int length = t1.length; // System.out.println(n); // LinkedList<double> t1 =new LinkedList<double>( Arrays.asList(t1)); /* for(double[] d: t1) { t1.add(d); }*/ lList = Arrays.asList(t1); length=lList.size(); //System.out.print(lList.size()); // System.arraycopy(src, srcPos, dest, destPos, length) /* s1= t1.subList(0, 1); w1= t1.subList(0, 1); */ /* if(n==N) { s1= lList.subList(0, length/2-1); w1= lList.subList(length/2-1, length); } else { s1=lList.subList(( length/2), length); w1=lList.subList(( length/2), length); } */ // System.arraycopy(t1,0, s1, n==N?0:t1.size()/2-1, t1.size()/2-1); // System.arraycopy(t1,(length/2), w1, n==N?0:t1.size()/2-1, t1.size()/2-1); // System.out.println(w1.length); } return new Pair(s1, w1); } where pair class is defined so as to return the 2 list and transform returns an array of type double which is being stored in t1 array. now i am getting problem in converting t1 array to list type and also on how to split the list formed by elements of t1 into 2 parts. THE CODE FOR TRANSFORM IS -: protected double[] transform( double a[], int n ) { if (n >= 4) { int i, j; int half = n >> 1; double tmp[] = new double[n]; i = 0; for (j = 0; j < n-3; j = j + 2) { tmp[i] = a[j]*h0 + a[j+1]*h1 + a[j+2]*h2 + a[j+3]*h3; tmp[i+half] = a[j]*g0 + a[j+1]*g1 + a[j+2]*g2 + a[j+3]*g3; i++; } // System.out.println(i); tmp[i] = a[n-2]*h0 + a[n-1]*h1 + a[0]*h2 + a[1]*h3; tmp[i+half] = a[n-2]*g0 + a[n-1]*g1 + a[0]*g2 + a[1]*g3; for (i = 0; i < n; i++) { a[i] = tmp[i]; } } return a; } // transform this is the whole code-: import java.util.Arrays; import java.util.List; import java.util.*; import java.lang.Math.*; class daub { protected final double sqrt_3 = Math.sqrt( 3 ); protected final double denom = 4 * Math.sqrt( 2 ); // // forward transform scaling (smoothing) coefficients // protected final double h0 = (1 + sqrt_3)/denom; protected final double h1 = (3 + sqrt_3)/denom; protected final double h2 = (3 - sqrt_3)/denom; protected final double h3 = (1 - sqrt_3)/denom; // // forward transform wavelet coefficients // protected final double g0 = h3; protected final double g1 = -h2; protected final double g2 = h1; protected final double g3 = -h0; // // Inverse transform coefficients for smoothed values // protected final double Ih0 = h2; protected final double Ih1 = g2; // h1 protected final double Ih2 = h0; protected final double Ih3 = g0; // h3 // // Inverse transform for wavelet values // protected final double Ig0 = h3; protected final double Ig1 = g3; // -h0 protected final double Ig2 = h1; protected final double Ig3 = g1; // -h2 List<Double> doubleList = new ArrayList<Double>(); /** <p> Forward wavelet transform. protected double[] transform( double a[], int n ) { if (n >= 4) { int i, j; int half = n >> 1; double tmp[] = new double[n]; i = 0; for (j = 0; j < n-3; j = j + 2) { tmp[i] = a[j]*h0 + a[j+1]*h1 + a[j+2]*h2 + a[j+3]*h3; tmp[i+half] = a[j]*g0 + a[j+1]*g1 + a[j+2]*g2 + a[j+3]*g3; i++; } // System.out.println(i); tmp[i] = a[n-2]*h0 + a[n-1]*h1 + a[0]*h2 + a[1]*h3; tmp[i+half] = a[n-2]*g0 + a[n-1]*g1 + a[0]*g2 + a[1]*g3; for (i = 0; i < n; i++) { a[i] = tmp[i]; } } return a; } // transform protected void invTransform( double a[], int n ) { if (n >= 4) { int i, j; int half = n >> 1; int halfPls1 = half + 1; double tmp[] = new double[n]; // last smooth val last coef. first smooth first coef tmp[0] = a[half-1]*Ih0 + a[n-1]*Ih1 + a[0]*Ih2 + a[half]*Ih3; tmp[1] = a[half-1]*Ig0 + a[n-1]*Ig1 + a[0]*Ig2 + a[half]*Ig3; j = 2; for (i = 0; i < half-1; i++) { // smooth val coef. val smooth val coef. val tmp[j++] = a[i]*Ih0 + a[i+half]*Ih1 + a[i+1]*Ih2 + a[i+halfPls1]*Ih3; tmp[j++] = a[i]*Ig0 + a[i+half]*Ig1 + a[i+1]*Ig2 + a[i+halfPls1]*Ig3; } for (i = 0; i < n; i++) { a[i] = tmp[i]; } } } /** Forward Daubechies D4 transform */ public Pair daubTrans( double s[] ) throws Exception { final int N = s.length; int n; //double t1[] = new double[100000]; //List<Double> t1 = new ArrayList<Double>(); // double s1[] = new double[100000]; List<double[]> w1 = new ArrayList<double[]>(); List<double[]> s1 = new ArrayList<double[]>(); List<double[]> lList = new ArrayList<double[]>(); //List<double[]> t1 = new ArrayList<double[]>(); for (n = N; n >= 4; n >>= 1) { double[] t1= transform( s, n ); int length = t1.length; // System.out.println(n); // LinkedList<double> t1 =new LinkedList<double>( Arrays.asList(t1)); /* for(double[] d: t1) { t1.add(d); }*/ lList = Arrays.asList(t1); length=lList.size(); //System.out.print(lList.size()); // System.arraycopy(src, srcPos, dest, destPos, length) /* s1= t1.subList(0, 1); w1= t1.subList(0, 1); */ if(n==N) { s1= lList.subList(0, length/2-1); w1= lList.subList(length/2-1, length); } else { s1=lList.subList(( length/2), length); w1=lList.subList(( length/2), length); } // System.arraycopy(t1,0, s1, n==N?0:t1.size()/2-1, t1.size()/2-1); // System.arraycopy(t1,(length/2), w1, n==N?0:t1.size()/2-1, t1.size()/2-1); // System.out.println(w1.length); } return new Pair(s1, w1); } /**
Please add the code of transform(s,n) to this question. Why this? for (n = N; n >= 4; n >>= 1) {} It seems to be easier: for (int n = N; n >= 4; n--) {} This is crazy: List<double[]> If you'd like to use a list of doubles then use this: List<double> What is the result that you would like to see?