Peak detection in C#

tanthiamhuat
494

922 views

Peak detection in C#

assume that I have my XY-values stored in a file XY.txt, with the first column being the X-values and the second column being the Y-values, I would like to detect those peaks (postive and negative) from the file. I would like to store those peaks detected in an array, with those detected peak Y-values and at which X-values occur.

I understand it needs some kind of derivatives stuffs.
any code samples would be appreciated.

asked one year ago

(x)

tanthiamhuat
494

http://www.billauer.co.il/peakdet.html above is similar to what I want to implement. Is it easy to convert to C# code? thanks

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last answered one year ago

11 answers

Sort:

tick

See if the following will do what you want:

using System;
using System.Collections.Generic;
using System.IO;

struct XY
{
   public double X;
   public double Y;

   public XY(double x, double y)
   {
       X = x;
       Y = y;
   }

   public override string ToString()
   {
      return String.Format("x = {0}, y = {1}", X, Y);
   } 
}
 
class Program
{
    static void Main()
    {
         string[] lines = File.ReadAllLines("xy.txt"); 
         List<XY> listAll = new List<XY>();
         List<XY> listMaxima = new List<XY>(); 
         List<XY> listMinima = new List<XY>();        

         // get a list of all valid XY pairs          
         foreach(string line in lines)
         {
            string line2 = line.Trim();
            if (line2 == "") continue; // ignore blank lines
            string[] items = line2.Split(','); // assume comma separated
            double x, y;
            if (!double.TryParse(items[0].Trim(), out x)) continue; // ignore invalid numbers
            if (!double.TryParse(items[1].Trim(), out y)) continue; // ditto
            listAll.Add(new XY(x, y));
         }

         // find maxima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMaximum(prev, curr, next)) listMaxima.Add(curr);
         }

         // find minima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMinimum(prev, curr, next)) listMinima.Add(curr);
         }
         
         // convert lists to arrays
         XY[] maxima = listMaxima.ToArray();
         XY[] minima = listMinima.ToArray();

         // print out results
         Console.Clear();
        
         if (maxima.Length == 0)
         {
             Console.WriteLine("There are no maxima");
         }
         else
         { 
             Console.WriteLine("Maxima are :\n");
             foreach(XY xy in maxima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }
    
         if (minima.Length == 0)
         {
             Console.WriteLine("\nThere are no minima");
         }
         else
         { 
             Console.WriteLine("\nMinima are :\n");
             foreach(XY xy in minima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }

         Console.ReadKey(); 
    }

    static bool IsMaximum(XY prev, XY curr, XY next)
    {
         if (curr.Y > prev.Y && curr.Y > next.Y) return true;
         return false;
    }

    static bool IsMinimum(XY prev, XY curr, XY next)
    {
         if (curr.Y < prev.Y && curr.Y < next.Y) return true;
         return false;
    }

}

answered one year ago by:

vulpes
17279

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thanks for the beautiful code. However, when I test it out, it has some missing maxima and minima, when there are consecutive same values of maxima and minima. Below are the outputs from your code:

Maxima are :

x = 5, y = 2
x = 25, y = 3
x = 54, y = -43
x = 64, y = 4
x = 85, y = 5
x = 95, y = -42
x = 105, y = 5
x = 115, y = -39
x = 126, y = 6
x = 166, y = 8
x = 175, y = -39
x = 186, y = 6
x = 196, y = -38

Minima are :

x = 3, y = -1
x = 16, y = -48
x = 36, y = -46
x = 53, y = -44
x = 76, y = -45
x = 94, y = -43
x = 96, y = -45
x = 114, y = -41
x = 116, y = -43
x = 135, y = -44
x = 156, y = -42
x = 174, y = -40
x = 176, y = -42
x = 195, y = -40
x = 197, y = -39

for xy.txt as below: (note:space separated, not comma separated)
1.00000000e+000 0.00000000e+000
2.00000000e+000 0.00000000e+000
3.00000000e+000 -1.00000000e+000
4.00000000e+000 1.00000000e+000
5.00000000e+000 2.00000000e+000
6.00000000e+000 -2.00000000e+000
7.00000000e+000 -2.00000000e+000
8.00000000e+000 -2.00000000e+000
9.00000000e+000 -6.00000000e+000
1.00000000e+001 -1.70000000e+001
1.10000000e+001 -2.40000000e+001
1.20000000e+001 -3.60000000e+001
1.30000000e+001 -4.10000000e+001
1.40000000e+001 -4.70000000e+001
1.50000000e+001 -4.70000000e+001
1.60000000e+001 -4.80000000e+001
1.70000000e+001 -4.50000000e+001
1.80000000e+001 -3.90000000e+001
1.90000000e+001 -3.20000000e+001
2.00000000e+001 -1.90000000e+001
2.10000000e+001 -1.20000000e+001
2.20000000e+001 -6.00000000e+000
2.30000000e+001 -3.00000000e+000
2.40000000e+001 1.00000000e+000
2.50000000e+001 3.00000000e+000
2.60000000e+001 2.00000000e+000
2.70000000e+001 1.00000000e+000
2.80000000e+001 0.00000000e+000
2.90000000e+001 -5.00000000e+000
3.00000000e+001 -1.00000000e+001
3.10000000e+001 -2.50000000e+001
3.20000000e+001 -3.60000000e+001
3.30000000e+001 -4.30000000e+001
3.40000000e+001 -4.40000000e+001
3.50000000e+001 -4.40000000e+001
3.60000000e+001 -4.60000000e+001
3.70000000e+001 -4.40000000e+001
3.80000000e+001 -3.90000000e+001
3.90000000e+001 -2.80000000e+001
4.00000000e+001 -1.80000000e+001
4.10000000e+001 -8.00000000e+000
4.20000000e+001 -4.00000000e+000
4.30000000e+001 -3.00000000e+000
4.40000000e+001 2.00000000e+000
4.50000000e+001 3.00000000e+000
4.60000000e+001 3.00000000e+000
4.70000000e+001 1.00000000e+000
4.80000000e+001 -1.00000000e+000
4.90000000e+001 -5.00000000e+000
5.00000000e+001 -1.30000000e+001
5.10000000e+001 -2.30000000e+001
5.20000000e+001 -3.50000000e+001
5.30000000e+001 -4.40000000e+001
5.40000000e+001 -4.30000000e+001
5.50000000e+001 -4.40000000e+001
5.60000000e+001 -4.40000000e+001
5.70000000e+001 -4.30000000e+001
5.80000000e+001 -3.60000000e+001
5.90000000e+001 -2.80000000e+001
6.00000000e+001 -1.60000000e+001
6.10000000e+001 -8.00000000e+000
6.20000000e+001 0.00000000e+000
6.30000000e+001 2.00000000e+000
6.40000000e+001 4.00000000e+000
6.50000000e+001 3.00000000e+000
6.60000000e+001 3.00000000e+000
6.70000000e+001 2.00000000e+000
6.80000000e+001 0.00000000e+000
6.90000000e+001 -4.00000000e+000
7.00000000e+001 -1.30000000e+001
7.10000000e+001 -2.50000000e+001
7.20000000e+001 -3.30000000e+001
7.30000000e+001 -4.10000000e+001
7.40000000e+001 -4.40000000e+001
7.50000000e+001 -4.40000000e+001
7.60000000e+001 -4.50000000e+001
7.70000000e+001 -4.30000000e+001
7.80000000e+001 -4.00000000e+001
7.90000000e+001 -3.20000000e+001
8.00000000e+001 -2.10000000e+001
8.10000000e+001 -1.00000000e+001
8.20000000e+001 -3.00000000e+000
8.30000000e+001 2.00000000e+000
8.40000000e+001 2.00000000e+000
8.50000000e+001 5.00000000e+000
8.60000000e+001 4.00000000e+000
8.70000000e+001 0.00000000e+000
8.80000000e+001 -1.00000000e+000
8.90000000e+001 -2.00000000e+000
9.00000000e+001 -1.20000000e+001
9.10000000e+001 -2.40000000e+001
9.20000000e+001 -3.20000000e+001
9.30000000e+001 -4.00000000e+001
9.40000000e+001 -4.30000000e+001
9.50000000e+001 -4.20000000e+001
9.60000000e+001 -4.50000000e+001
9.70000000e+001 -4.30000000e+001
9.80000000e+001 -3.80000000e+001
9.90000000e+001 -2.70000000e+001
1.00000000e+002 -1.80000000e+001
1.01000000e+002 -7.00000000e+000
1.02000000e+002 0.00000000e+000
1.03000000e+002 2.00000000e+000
1.04000000e+002 4.00000000e+000
1.05000000e+002 5.00000000e+000
1.06000000e+002 4.00000000e+000
1.07000000e+002 3.00000000e+000
1.08000000e+002 3.00000000e+000
1.09000000e+002 -3.00000000e+000
1.10000000e+002 -1.00000000e+001
1.11000000e+002 -1.90000000e+001
1.12000000e+002 -3.10000000e+001
1.13000000e+002 -3.70000000e+001
1.14000000e+002 -4.10000000e+001
1.15000000e+002 -3.90000000e+001
1.16000000e+002 -4.30000000e+001
1.17000000e+002 -4.20000000e+001
1.18000000e+002 -3.80000000e+001
1.19000000e+002 -3.00000000e+001
1.20000000e+002 -1.80000000e+001
1.21000000e+002 -6.00000000e+000
1.22000000e+002 -2.00000000e+000
1.23000000e+002 2.00000000e+000
1.24000000e+002 5.00000000e+000
1.25000000e+002 5.00000000e+000
1.26000000e+002 6.00000000e+000
1.27000000e+002 5.00000000e+000
1.28000000e+002 2.00000000e+000
1.29000000e+002 -1.00000000e+000
1.30000000e+002 -1.10000000e+001
1.31000000e+002 -2.20000000e+001
1.32000000e+002 -3.40000000e+001
1.33000000e+002 -3.70000000e+001
1.34000000e+002 -4.20000000e+001
1.35000000e+002 -4.40000000e+001
1.36000000e+002 -4.30000000e+001
1.37000000e+002 -4.00000000e+001
1.38000000e+002 -3.40000000e+001
1.39000000e+002 -2.50000000e+001
1.40000000e+002 -1.30000000e+001
1.41000000e+002 -5.00000000e+000
1.42000000e+002 0.00000000e+000
1.43000000e+002 3.00000000e+000
1.44000000e+002 4.00000000e+000
1.45000000e+002 5.00000000e+000
1.46000000e+002 5.00000000e+000
1.47000000e+002 5.00000000e+000
1.48000000e+002 3.00000000e+000
1.49000000e+002 -2.00000000e+000
1.50000000e+002 -1.10000000e+001
1.51000000e+002 -2.20000000e+001
1.52000000e+002 -3.20000000e+001
1.53000000e+002 -3.80000000e+001
1.54000000e+002 -4.00000000e+001
1.55000000e+002 -4.10000000e+001
1.56000000e+002 -4.20000000e+001
1.57000000e+002 -4.00000000e+001
1.58000000e+002 -3.30000000e+001
1.59000000e+002 -2.50000000e+001
1.60000000e+002 -1.30000000e+001
1.61000000e+002 -6.00000000e+000
1.62000000e+002 -1.00000000e+000
1.63000000e+002 4.00000000e+000
1.64000000e+002 5.00000000e+000
1.65000000e+002 7.00000000e+000
1.66000000e+002 8.00000000e+000
1.67000000e+002 4.00000000e+000
1.68000000e+002 3.00000000e+000
1.69000000e+002 -1.00000000e+000
1.70000000e+002 -1.00000000e+001
1.71000000e+002 -2.10000000e+001
1.72000000e+002 -3.10000000e+001
1.73000000e+002 -3.60000000e+001
1.74000000e+002 -4.00000000e+001
1.75000000e+002 -3.90000000e+001
1.76000000e+002 -4.20000000e+001
1.77000000e+002 -4.10000000e+001
1.78000000e+002 -3.30000000e+001
1.79000000e+002 -2.50000000e+001
1.80000000e+002 -1.30000000e+001
1.81000000e+002 -5.00000000e+000
1.82000000e+002 1.00000000e+000
1.83000000e+002 4.00000000e+000
1.84000000e+002 5.00000000e+000
1.85000000e+002 5.00000000e+000
1.86000000e+002 6.00000000e+000
1.87000000e+002 3.00000000e+000
1.88000000e+002 2.00000000e+000
1.89000000e+002 -1.00000000e+000
1.90000000e+002 -1.00000000e+001
1.91000000e+002 -2.00000000e+001
1.92000000e+002 -2.90000000e+001
1.93000000e+002 -3.40000000e+001
1.94000000e+002 -3.80000000e+001
1.95000000e+002 -4.00000000e+001
1.96000000e+002 -3.80000000e+001
1.97000000e+002 -3.90000000e+001
1.98000000e+002 -3.30000000e+001
1.99000000e+002 -2.20000000e+001
2.00000000e+002 -9.00000000e+000

when tested with matlab code:
Maxima are :

x = 1, y = 0

x = 5, y = 2
x = 25, y = 3

x=45, y=3

x = 54, y = -43
x = 64, y = 4
x = 85, y = 5
x = 95, y = -42
x = 105, y = 5
x = 115, y = -39
x = 126, y = 6

x=145, y=5

x = 166, y = 8
x = 175, y = -39
x = 186, y = 6
x = 196, y = -38

Minima are :

x = 3, y = -1
x = 16, y = -48
x = 36, y = -46
x = 53, y = -44

x=55, y=-44

x = 76, y = -45
x = 94, y = -43
x = 96, y = -45
x = 114, y = -41
x = 116, y = -43
x = 135, y = -44
x = 156, y = -42
x = 174, y = -40
x = 176, y = -42
x = 195, y = -40
x = 197, y = -39

answered one year ago by:

tanthiamhuat
494

add comment

I try tweak around with this portion of the code, with 0.5 for a peak and its surrounding , but it still does not produce exactly what the matlab code produce.

static bool IsMaximum(XY prev, XY curr, XY next)
{ if (curr.Y > prev.Y+0.5 && curr.Y > next.Y+0.5) return true;
return false;
}

static bool IsMinimum(XY prev, XY curr, XY next)
{ if (curr.Y < prev.Y-0.5 && curr.Y <= next.Y-0.5) return true;
return false;
}

answered one year ago by:

tanthiamhuat
494
edited one year ago

add comment

It's more complicated than that because it appears that matlab is only treating the first 'plateau' point as a maximum or minimum if the first point before the plateau and the next point after it are respectively lower or higher than the plateau.

Ignoring for the moment the problem of the first point (x = 1, y = 0), the easiest way to deal with that is to remove all plateau points after the first before you calculate the maxima and minima:

using System;
using System.Collections.Generic;
using System.IO;

struct XY
{
   public double X;
   public double Y;

   public XY(double x, double y)
   {
       X = x;
       Y = y;
   }

   public override string ToString()
   {
      return String.Format("x = {0}, y = {1}", X, Y);
   } 
}
 
class Program
{
    static void Main()
    {
         string[] lines = File.ReadAllLines("xy.txt"); 
         List<XY> listAll = new List<XY>();
         List<XY> listMaxima = new List<XY>(); 
         List<XY> listMinima = new List<XY>();        

         // get a list of all valid XY pairs          
         foreach(string line in lines)
         {
            string line2 = line.Trim();
            if (line2 == "") continue; // ignore blank lines
            string[] items = line2.Split(' '); // assume space separated
            double x, y;
            if (!double.TryParse(items[0].Trim(), out x)) continue; // ignore invalid numbers
            if (!double.TryParse(items[1].Trim(), out y)) continue; // ditto
            listAll.Add(new XY(x, y));
         }

         // remove points which have same y value as preceding point
         for (int i = listAll.Count - 2; i >= 0 ; i--)
         {
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (curr.Y ==  next.Y) listAll.RemoveAt(i + 1);
         }

         // find maxima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMaximum(prev, curr, next)) listMaxima.Add(curr);
         }

         // find minima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMinimum(prev, curr, next)) listMinima.Add(curr);
         }
         
         // convert lists to arrays
         XY[] maxima = listMaxima.ToArray();
         XY[] minima = listMinima.ToArray();

         // print out results
         Console.Clear();
        
         if (maxima.Length == 0)
         {
             Console.WriteLine("There are no maxima");
         }
         else
         { 
             Console.WriteLine("Maxima are :\n");
             foreach(XY xy in maxima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }
    
         if (minima.Length == 0)
         {
             Console.WriteLine("\nThere are no minima");
         }
         else
         { 
             Console.WriteLine("\nMinima are :\n");
             foreach(XY xy in minima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }

         Console.ReadKey(); 
    }

    static bool IsMaximum(XY prev, XY curr, XY next)
    {
         if (curr.Y > prev.Y && curr.Y > next.Y) return true;
         return false;
    }

    static bool IsMinimum(XY prev, XY curr, XY next)
    {
         if (curr.Y < prev.Y && curr.Y < next.Y) return true;
         return false;
    }

}

Now matlab is also treating the first point as a maximum because the next point (x = 2, y = 0) has the same y value but the next point after that (x =3, y = -1) has a lower y value.

Whilst I can cobble something together to deal with that, the question is what would matlab give if the first polint had been (x = 1, y = 1). Would it have considered that as a maximum as well?

answered one year ago by:

vulpes
17279
edited one year ago

add comment

thanks for the modified code, yes, I think (x = 1, y = 0) should not be the 1st maximum point.

I must confess that I could not understand the additional code written, could you elaborate:

// remove points which have same y value as preceding point
for (int i = listAll.Count - 2; i >= 0 ; i--)
{
XY curr = listAll[i];
XY next = listAll[i + 1];
if (curr.Y == next.Y) listAll.RemoveAt(i + 1);
}

answered one year ago by:

tanthiamhuat
494
edited one year ago

(x)

vulpes
17279

The reason the code looks strange is that we have to iterate backwards through the collection in order to make multiple deletions. This is because, when you delete an item, the indices of the elements which follow it are all reduced by one to fill the gap. If you try to do this by iterating forwards, this means that the next element after the one you deleted will be skipped (even though it may need deleting itself) because it now has the same index as the deleted item.

add comment

I test again your code with the testdata from http://www.billauer.co.il/peakdet.html
from the matlab code, it generates maxtab and mintab as below:

maxtab =

4.5800e+002 1.5778e+000
1.8220e+003 1.9247e+000
3.3340e+003 -4.1064e-002
4.9510e+003 7.3585e-001
6.3260e+003 1.8835e+000
7.7620e+003 5.7428e-001
9.3990e+003 5.9664e-001

octave-3.2.4.exe:42> mintab
mintab =

1.1200e+003 3.2197e-001
2.6730e+003 -1.1407e+000
4.1140e+003 -1.9952e+000
5.5620e+003 -3.2305e-001
7.1570e+003 -5.8209e-001
8.5980e+003 -1.7115e+000

However, your code does not provide the above maxima and minima. Not sure where it goes wrong. Below are the values for the testdata.

0.00000000e+000 6.15703889e-003
1.00000000e+000 -1.46961234e-004
2.00000000e+000 2.63166503e-002
3.00000000e+000 3.73698656e-002
4.00000000e+000 2.35439850e-002
5.00000000e+000 4.20160539e-002
6.00000000e+000 1.17696304e-002
7.00000000e+000 4.70983715e-002
8.00000000e+000 -1.85417632e-002
9.00000000e+000 6.10178436e-002
1.00000000e+001 7.70777233e-002
1.10000000e+001 7.99432673e-002
1.20000000e+001 7.01658276e-002
1.30000000e+001 1.08848578e-001
1.40000000e+001 8.37992414e-002
1.50000000e+001 4.22105887e-002
1.60000000e+001 7.42759208e-002
1.70000000e+001 1.08216381e-001
1.80000000e+001 1.49210770e-001
1.90000000e+001 8.08098172e-002
2.00000000e+001 9.80816642e-002
2.10000000e+001 1.24601063e-001
2.20000000e+001 1.33178209e-001
2.30000000e+001 1.51752028e-001
2.40000000e+001 8.61076745e-002
2.50000000e+001 1.36217274e-001
2.60000000e+001 1.24681250e-001
2.70000000e+001 1.34542326e-001
2.80000000e+001 1.67082356e-001
2.90000000e+001 1.70755876e-001
3.00000000e+001 1.71424930e-001
3.10000000e+001 1.34862238e-001
3.20000000e+001 1.79639806e-001
3.30000000e+001 1.73060835e-001
3.40000000e+001 2.03851649e-001
3.50000000e+001 1.73242529e-001
3.60000000e+001 1.96884620e-001
3.70000000e+001 1.95421041e-001
3.80000000e+001 2.08965378e-001
3.90000000e+001 1.98818675e-001
4.00000000e+001 2.10794974e-001
4.10000000e+001 1.69714022e-001
4.20000000e+001 2.05009920e-001
4.30000000e+001 2.39094562e-001
4.40000000e+001 2.32894253e-001
4.50000000e+001 2.35611043e-001
4.60000000e+001 2.30624183e-001
4.70000000e+001 2.90609962e-001
4.80000000e+001 2.81025160e-001
4.90000000e+001 2.88202061e-001
5.00000000e+001 2.75246322e-001
5.10000000e+001 2.43473945e-001
5.20000000e+001 3.00632778e-001
5.30000000e+001 3.10486268e-001
5.40000000e+001 2.88693327e-001
5.50000000e+001 2.93768024e-001
5.60000000e+001 3.25870488e-001
5.70000000e+001 2.97577646e-001
5.80000000e+001 2.88315426e-001
5.90000000e+001 3.52649458e-001
6.00000000e+001 2.83959922e-001
6.10000000e+001 3.59279844e-001
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9.90200000e+003 -4.73222370e-001
9.90300000e+003 -4.63510248e-001
9.90400000e+003 -4.77930962e-001
9.90500000e+003 -4.48520056e-001
9.90600000e+003 -4.36123267e-001
9.90700000e+003 -4.53111002e-001
9.90800000e+003 -4.44392076e-001
9.90900000e+003 -4.51331217e-001
9.91000000e+003 -4.64643100e-001
9.91100000e+003 -4.70353036e-001
9.91200000e+003 -4.67939890e-001
9.91300000e+003 -4.55203714e-001
9.91400000e+003 -4.81085977e-001
9.91500000e+003 -4.98107019e-001
9.91600000e+003 -4.51503036e-001
9.91700000e+003 -4.93212392e-001
9.91800000e+003 -4.88395407e-001
9.91900000e+003 -5.06473132e-001
9.92000000e+003 -5.00639449e-001
9.92100000e+003 -4.93917403e-001
9.92200000e+003 -4.96531448e-001
9.92300000e+003 -4.95173624e-001
9.92400000e+003 -4.82353440e-001
9.92500000e+003 -4.84503501e-001
9.92600000e+003 -5.17776424e-001
9.92700000e+003 -4.99727265e-001
9.92800000e+003 -5.09597286e-001
9.92900000e+003 -4.99760033e-001
9.93000000e+003 -4.73342579e-001
9.93100000e+003 -4.97557558e-001
9.93200000e+003 -5.26784810e-001
9.93300000e+003 -4.63829640e-001
9.93400000e+003 -4.89811960e-001
9.93500000e+003 -5.03745676e-001
9.93600000e+003 -5.35790948e-001
9.93700000e+003 -4.75496371e-001
9.93800000e+003 -5.23009917e-001
9.93900000e+003 -5.06483963e-001
9.94000000e+003 -4.71098839e-001
9.94100000e+003 -5.40918000e-001
9.94200000e+003 -5.07491907e-001
9.94300000e+003 -5.34528071e-001
9.94400000e+003 -5.12243842e-001
9.94500000e+003 -5.08291851e-001
9.94600000e+003 -5.31641692e-001
9.94700000e+003 -5.26566791e-001
9.94800000e+003 -5.20232684e-001
9.94900000e+003 -4.96861735e-001
9.95000000e+003 -5.05148069e-001
9.95100000e+003 -5.22012734e-001
9.95200000e+003 -5.52993676e-001
9.95300000e+003 -5.21384870e-001
9.95400000e+003 -5.29652752e-001
9.95500000e+003 -5.40389176e-001
9.95600000e+003 -5.46754687e-001
9.95700000e+003 -5.49292746e-001
9.95800000e+003 -5.44268746e-001
9.95900000e+003 -5.52003871e-001
9.96000000e+003 -5.57627054e-001
9.96100000e+003 -5.37601945e-001
9.96200000e+003 -5.20680372e-001
9.96300000e+003 -5.09647087e-001
9.96400000e+003 -5.34192825e-001
9.96500000e+003 -5.58491353e-001
9.96600000e+003 -5.44061902e-001
9.96700000e+003 -5.63055062e-001
9.96800000e+003 -5.43709564e-001
9.96900000e+003 -5.41241173e-001
9.97000000e+003 -5.75862364e-001
9.97100000e+003 -5.50499937e-001
9.97200000e+003 -5.47418137e-001
9.97300000e+003 -5.43868458e-001
9.97400000e+003 -5.47770388e-001
9.97500000e+003 -5.34898320e-001
9.97600000e+003 -5.77164217e-001
9.97700000e+003 -5.55463489e-001
9.97800000e+003 -5.33622796e-001
9.97900000e+003 -5.37317609e-001
9.98000000e+003 -5.79071289e-001
9.98100000e+003 -5.35371711e-001
9.98200000e+003 -5.84905395e-001
9.98300000e+003 -5.71717134e-001
9.98400000e+003 -5.62550677e-001
9.98500000e+003 -5.36511827e-001
9.98600000e+003 -5.67102957e-001
9.98700000e+003 -5.90518565e-001
9.98800000e+003 -5.26720426e-001
9.98900000e+003 -5.52941357e-001
9.99000000e+003 -5.78676227e-001
9.99100000e+003 -5.58078953e-001
9.99200000e+003 -5.86469438e-001
9.99300000e+003 -5.73453425e-001
9.99400000e+003 -6.12725967e-001
9.99500000e+003 -5.53678437e-001
9.99600000e+003 -5.54188183e-001
9.99700000e+003 -5.72925516e-001
9.99800000e+003 -5.24258300e-001
9.99900000e+003 -5.70165686e-001
1.00000000e+004 -5.60784876e-001

answered one year ago by:

tanthiamhuat
494

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Previously, we've been working with integral values of y but now the values are non-integral and, to avoid generating an excessive number of peaks, some sort of filter needs to be introduced to decide whether a value is a maximum or minimum.

Reading through the matlab article again, it says:

"A point is considered a maximum peak if it has the maximal value, and was preceded (to the left) by a value lower by DELTA."

So, presumably for a minimum value, you'd have:

"A point is considered a mimimum peak if it has the minimal value, and was preceded (to the left) by a value higher by DELTA."

In the example a delta of 0.5 is used. However, I haven't been able to figure out what matlab is using to generate the values you posted.

If we look at the point with an x value of 9399, which they say has a maximum y value of 5.9664e-001, the values of the points in that neighbourhood are:

9.39700000e+003 5.46375700e-001
9.39800000e+003 5.96638167e-001
9.39900000e+003 5.77860096e-001
9.40000000e+003 5.54698590e-001

So, it's actually the point with an x value of 9398 which has that value and the difference between that and the preceding point is about 0.5e-001. However, if I try a delta equal to that value, I get a lot more maxima and minima than matlab does.

Consider for example the point with an x value of 9995:

9.99400000e+003 -6.12725967e-001
9.99500000e+003 -5.53678437e-001
9.99600000e+003 -5.54188183e-001
9.99700000e+003 -5.72925516e-001

It's clearly a maximum on that basis but yet matlab doesn't give it :-/

answered one year ago by:

vulpes
17279

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thank you. your code is good enough for my interger values case.

answered one year ago by:

tanthiamhuat
494

add comment

can I know how to I extract out the absolute X-interval for those maximum and minimum peaks?
that is,
Maxima are :

x = 4, y = 0
x = 6, y = 2
x = 24, y = 0
x = 26, y = -1
x = 47, y = 3
x = 67, y = 3
x = 84, y = 3
x = 86, y = 3
x = 104, y = 4
x = 106, y = 4
x = 126, y = 6
x = 137, y = -39
x = 145, y = 7
x = 165, y = 7
x = 186, y = 6

Abs X interval for Max Peak are :

2
18
2
21
20
17
2
18
2
20
11
8
20
21

////////////////////

abs(4-6)=2
abs(6-24)=18
abs(24-26)=2
abs(26-47)=21
abs(47-67)=20
abs(67-84)=17
abs(84-86)=2
abs(86-104)=18
abs(104-106)=2
abs(106-126)=20
abs(126-137)=11
abs(137-145)=8
abs(145-165)=20
abs(165-186)=21

answered one year ago by:

tanthiamhuat
494
edited one year ago

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Here's an updated version of the program which calculates the absolute x-intervals between successive maxima and minima and prints them out:

using System;
using System.Collections.Generic;
using System.IO;

struct XY
{
   public double X;
   public double Y;

   public XY(double x, double y)
   {
       X = x;
       Y = y;
   }

   public override string ToString()
   {
      return String.Format("x = {0}, y = {1}", X, Y);
   } 
}
 
class Program
{
    static void Main()
    {
         string[] lines = File.ReadAllLines("xy.txt"); 
         List<XY> listAll = new List<XY>();
         List<XY> listMaxima = new List<XY>(); 
         List<XY> listMinima = new List<XY>();        

         // get a list of all valid XY pairs          
         foreach(string line in lines)
         {
            string line2 = line.Trim();
            if (line2 == "") continue; // ignore blank lines
            string[] items = line2.Split(' '); // assume space separated
            double x, y;
            if (!double.TryParse(items[0].Trim(), out x)) continue; // ignore invalid numbers
            if (!double.TryParse(items[1].Trim(), out y)) continue; // ditto
            listAll.Add(new XY(x, y));
         }

         // remove points which have same y value as preceding point
         for (int i = listAll.Count - 2; i >= 0 ; i--)
         {
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (curr.Y ==  next.Y) listAll.RemoveAt(i + 1);
         }

         // find maxima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMaximum(prev, curr, next)) listMaxima.Add(curr);
         }

         // find minima (it can't be first or last point)
         for (int i = 1; i < listAll.Count - 1; i++)
         {
            XY prev = listAll[i - 1];
            XY curr = listAll[i];
            XY next = listAll[i + 1];
            if (IsMinimum(prev, curr, next)) listMinima.Add(curr);
         }
         
         // convert lists to arrays
         XY[] maxima = listMaxima.ToArray();
         XY[] minima = listMinima.ToArray();


         // calculate absolute intervals between successive x values of maxima
         double[] maxIntervals = null;
         if (maxima.Length > 1)
         {
            maxIntervals = new double[maxima.Length - 1];
            for(int i = 1; i < maxima.Length; i++)
            {
               maxIntervals[i - 1] = Math.Abs(maxima[i].X - maxima[i-1].X);
            }
         }

         // calculate absolute intervals between successive x values of mimima
         double[] minIntervals = null;
         if (minima.Length > 1)
         {
            minIntervals = new double[minima.Length - 1];
            for(int i = 1; i < minima.Length; i++)
            {
               minIntervals[i - 1] = Math.Abs(minima[i].X - minima[i-1].X);
            }
         }
         
         // print out results
         Console.Clear();
        
         if (maxima.Length == 0)
         {
             Console.WriteLine("There are no maxima");
         }
         else
         { 
             Console.WriteLine("Maxima are :\n");
             foreach(XY xy in maxima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }

         if (maxIntervals != null)
         {
             Console.WriteLine("\nAbsolute intervals between maxima are :\n");
             foreach(double interval in maxIntervals)
             {
                Console.WriteLine(" {0}", interval);
             }
         }         
    
         if (minima.Length == 0)
         {
             Console.WriteLine("\nThere are no minima");
         }
         else
         { 
             Console.WriteLine("\nMinima are :\n");
             foreach(XY xy in minima)
             {
                Console.WriteLine(" {0}", xy);
             }
         }

         if (minIntervals != null)
         {
             Console.WriteLine("\nAbsolute intervals between minima are :\n");
             foreach(double interval in minIntervals)
             {
                Console.WriteLine(" {0}", interval);
             }
         }         
    
         Console.ReadKey(); 
    }

    static bool IsMaximum(XY prev, XY curr, XY next)
    {
         if (curr.Y > prev.Y && curr.Y > next.Y) return true;
         return false;
    }

    static bool IsMinimum(XY prev, XY curr, XY next)
    {
         if (curr.Y < prev.Y && curr.Y < next.Y) return true;
         return false;
    }

}

answered one year ago by:

vulpes
17279

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Vulpes, thanks for your fast response.

answered one year ago by:

tanthiamhuat
494

add comment

Peak detection in C#

11 answers

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