create a pitch tracker in csharp

To create a simple pitch tracker in C#, you can use the Fast Fourier Transform (FFT) algorithm to analyze the frequency content of an audio signal. Here are the basic steps:

  1. Capture audio from a microphone or load an audio file.
  2. Convert the audio signal to a time-domain representation using a window function (e.g. Hamming window).
  3. Apply the FFT algorithm to the time-domain representation to obtain a frequency-domain representation.
  4. Find the peak frequency in the frequency-domain representation, which corresponds to the pitch of the audio signal.
  5. Display the pitch information in your user interface or use it for further processing.

Here's an example code snippet that illustrates these steps:

main.cs
using System;
using System.Numerics; // required for complex numbers

public class PitchTracker {
   private const int SampleRate = 44100; // CD-quality audio
   
   public double GetPitch(double[] audioSamples) {
      // create a Hamming window with the same length as the audio sample
      double[] window = CreateHammingWindow(audioSamples.Length);
      // apply the window to the audio samples
      double[] windowedSamples = ApplyWindow(audioSamples, window);
      // apply the FFT algorithm to the windowed samples
      Complex[] spectrum = FFT(windowedSamples);
      // get the magnitude of the spectrum (to ignore phase)
      double[] magnitudes = GetMagnitude(spectrum);
      // find the index of the peak magnitude (ignore DC and Nyquist frequencies)
      int peakIndex = FindPeakIndex(magnitudes, SampleRate / 2);
      // convert the index to a frequency value (in Hz)
      double pitch = (double)peakIndex * SampleRate / audioSamples.Length;
      return pitch;
   }
   
   private double[] CreateHammingWindow(int length) {
      double[] window = new double[length];
      for (int i = 0; i < length; i++) {
         window[i] = 0.54 - 0.46 * Math.Cos(2 * Math.PI * i / (length - 1));
      }
      return window;
   }
   
   private double[] ApplyWindow(double[] samples, double[] window) {
      double[] windowedSamples = new double[samples.Length];
      for (int i = 0; i < samples.Length; i++) {
         windowedSamples[i] = samples[i] * window[i];
      }
      return windowedSamples;
   }
   
   private Complex[] FFT(double[] samples) {
      Complex[] spectrum = new Complex[samples.Length];
      for (int k = 0; k < samples.Length; k++) {
         Complex sum = 0;
         for (int n = 0; n < samples.Length; n++) {
            sum += samples[n] * Complex.Exp(-2 * Math.PI * k * n / samples.Length * Complex.ImaginaryOne);
         }
         spectrum[k] = sum;
      }
      return spectrum;
   }
   
   private double[] GetMagnitude(Complex[] spectrum) {
      double[] magnitudes = new double[spectrum.Length];
      for (int i = 0; i < spectrum.Length; i++) {
         magnitudes[i] = spectrum[i].Magnitude;
      }
      return magnitudes;
   }
   
   private int FindPeakIndex(double[] values, int maxIndex) {
      int peakIndex = 0;
      double peakValue = 0;
      for (int i = 1; i < maxIndex; i++) {
         if (values[i] > peakValue) {
            peakValue = values[i];
            peakIndex = i;
         }
      }
      return peakIndex;
   }
}
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This code assumes that you have a double array containing audio samples (in the range of -1.0 to +1.0) and a sample rate of 44.1 kHz (CD-quality audio). The GetPitch method returns the estimated pitch of the audio signal, in Hz. You can use this class in your C# application to create a real-time pitch tracker or analyze pre-recorded audio files.

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