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Refactor methods for calculation of event statistics.
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Issue #500 The calculation of event statistics was refactored in order to be able to access this functionality from within the KoalaMark3 recognizer.
Can now calculate event statistics by supplying the decibel spectrogram rather than the recording.
This required the separation out of the code which calculates the statistics from the code which converts the recording into a spectrogram.
Have added another statistical property, a count of the number of spectral peaks in the spectral profile of the event.
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towsey committed Sep 8, 2021
1 parent e938042 commit 19bef80
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6 changes: 4 additions & 2 deletions src/AudioAnalysisTools/EventStatistics/EventStatistics.cs
Original file line number Diff line number Diff line change
Expand Up @@ -96,15 +96,15 @@ public string ListenUrl
/// <summary>
/// Gets or sets a measure of the distribution of energy over the time frames of the event.
/// TemporalEnergyDistribution = 1 - Ht, where Ht is the temporal entropy calculated as for acoustic indices.
/// Minimum value = 0.0, when energy is unifrom over all time frames.
/// Minimum value = 0.0, when energy is uniform over all time frames.
/// Maximum value = 1.0, when all the acoustic energy is concentrated in a single time frame.
/// </summary>
public double TemporalEnergyDistribution { get; set; }

/// <summary>
/// Gets or sets a measure of the distribution of energy over the frequency bins of the event.
/// SpectralEnergyDistribution = 1 - Hf, where Hf is the spectral entropy calculated as for acoustic indices.
/// Minimum value = 0.0, when energy is unifrom over all frequency bins.
/// Minimum value = 0.0, when energy is uniform over all frequency bins.
/// Maximum value = 1.0, when all the acoustic energy is concentrated in a single frequency bin.
/// </summary>
public double SpectralEnergyDistribution { get; set; }
Expand All @@ -114,6 +114,8 @@ public string ListenUrl
/// </summary>
public double SnrDecibels { get; set; }

public int SpectralPeakCount { get; set; }

public bool Error { get; set; } = false;

public string ErrorMessage { get; set; }
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220 changes: 169 additions & 51 deletions src/AudioAnalysisTools/EventStatistics/EventStatisticsCalculate.cs
Original file line number Diff line number Diff line change
Expand Up @@ -8,46 +8,53 @@ namespace AudioAnalysisTools.EventStatistics
using System.Linq;
using Acoustics.Shared;
using AudioAnalysisTools.DSP;
using AudioAnalysisTools.StandardSpectrograms;
using AudioAnalysisTools.WavTools;
using TowseyLibrary;

/// <summary>
/// This class contains methods to calculate summary statistics for an acoustic event that occurs in a recording.
/// The summary statistics attempt to describe how acoustic energy is distributed within the bounds of the event.
/// The recording can be supplied in wave form or as the decibel spectrogram already derived from it.
/// In either case, the temporal and frequency bounds of the event must be supplied.
/// </summary>
///
/// <remarks>
/// The acoustic statistics calculated in this method are based on methods outlined in
/// "Acoustic classification of multiple simultaneous bird species: A multi-instance multi-label approach",
/// by Forrest Briggs, Balaji Lakshminarayanan, Lawrence Neal, Xiaoli Z.Fern, Raviv Raich, Sarah J.K.Hadley, Adam S. Hadley, Matthew G. Betts, et al.
/// The Journal of the Acoustical Society of America v131, pp4640 (2012); doi: http://dx.doi.org/10.1121/1.4707424
/// ..
/// The Briggs feature are calculated from the column (freq bin) and row (frame) sums of the extracted spectrogram.
/// 1. Gini Index for frame and bin sums. A measure of dispersion. Problem with gini is that its value is dependent on the row or column count.
/// We use entropy instead because value not dependent on row or column count because it is normalized.
/// For the following meausres of k-central moments, the freq and time values are normalized in 0,1 to width of the event.
/// 2. freq-mean
/// 3. freq-variance
/// 4. freq-skew and kurtosis
/// 5. time-mean
/// 6. time-variance
/// 7. time-skew and kurtosis
/// 8. freq-max (normalized)
/// 9. time-max (normalized)
/// 10. Briggs et al also calculate a 16 value histogram of gradients for each event mask. We do not do that here although we could.
/// ...
/// NOTE 1: There are differences between our method of noise reduction and Briggs. Briggs does not convert to decibels
/// and instead works with power values. He obtains a noise profile from the 20% of frames having the lowest energy sum.
/// NOTE 2: To NormaliseMatrixValues for noise, they divide the actual energy by the noise value. This is equivalent to subtraction when working in decibels.
/// There are advantages and disadvantages to Briggs method versus ours. In our case, we hve to convert decibel values back to
/// energy values when calculating the statistics for the extracted acoustic event.
/// NOTE 3: We do not calculate the higher central moments of the time/frequency profiles, i.e. skew and kurtosis.
/// Ony mean and standard deviation.
/// NOTE 4: All methods assume that the bounds of the event fall totally within the passed recording.
/// NOTE 5: All methods assume that the passed recording is of sufficient duration to obtain reliable BGN noise profile BUT not so long as to cause memory constipation.
/// </remarks>
public static class EventStatisticsCalculate
{
/// <summary>
/// Calculate summary statistics for supplied temporal and spectral targets.
/// Calculate summary statistics for the event enclosed by the supplied temporal and spectral targets.
/// This is the original method. It bypasses using the SpectrogramStandard class.
/// </summary>
/// <remarks>
/// The acoustic statistics calculated in this method are based on methods outlined in
/// "Acoustic classification of multiple simultaneous bird species: A multi-instance multi-label approach",
/// by Forrest Briggs, Balaji Lakshminarayanan, Lawrence Neal, Xiaoli Z.Fern, Raviv Raich, Sarah J.K.Hadley, Adam S. Hadley, Matthew G. Betts, et al.
/// The Journal of the Acoustical Society of America v131, pp4640 (2012); doi: http://dx.doi.org/10.1121/1.4707424
/// ..
/// The Briggs feature are calculated from the column (freq bin) and row (frame) sums of the extracted spectrogram.
/// 1. Gini Index for frame and bin sums. A measure of dispersion. Problem with gini is that its value is dependent on the row or column count.
/// We use entropy instead because value not dependent on row or column count because it is normalized.
/// For the following meausres of k-central moments, the freq and time values are normalized in 0,1 to width of the event.
/// 2. freq-mean
/// 3. freq-variance
/// 4. freq-skew and kurtosis
/// 5. time-mean
/// 6. time-variance
/// 7. time-skew and kurtosis
/// 8. freq-max (normalized)
/// 9. time-max (normalized)
/// 10. Briggs et al also calculate a 16 value histogram of gradients for each event mask. We do not do that here although we could.
/// ...
/// NOTE 1: There are differences between our method of noise reduction and Briggs. Briggs does not convert to decibels
/// and instead works with power values. He obtains a noise profile from the 20% of frames having the lowest energy sum.
/// NOTE 2: To NormaliseMatrixValues for noise, they divide the actual energy by the noise value. This is equivalent to subtraction when working in decibels.
/// There are advantages and disadvantages to Briggs method versus ours. In our case, we hve to convert decibel values back to
/// energy values when calculating the statistics for the extracted acoustic event.
/// NOTE 3: We do not calculate the higher central moments of the time/frequency profiles, i.e. skew and kurtosis.
/// Ony mean and standard deviation.
/// ..
/// NOTE 4: This method assumes that the passed event occurs totally within the passed recording,
/// AND that the passed recording is of sufficient duration to obtain reliable BGN noise profile
/// BUT not so long as to cause memory constipation.
/// </remarks>
/// <param name="recording">as type AudioRecording which contains the event.</param>
/// <param name="temporalTarget">Both start and end bounds - relative to the supplied recording.</param>
/// <param name="spectralTarget">both bottom and top bounds in Hertz.</param>
Expand Down Expand Up @@ -120,9 +127,125 @@ public static EventStatistics AnalyzeAudioEvent(
decibelSpectrogram = SNR.TruncateBgNoiseFromSpectrogram(decibelSpectrogram, spectralDecibelBgn);
decibelSpectrogram = SNR.RemoveNeighbourhoodBackgroundNoise(decibelSpectrogram, nhThreshold: 2.0);

// extract the required acoustic event
// extract the required acoustic event and calculate the stats.
var eventMatrix = MatrixTools.Submatrix(decibelSpectrogram, startFrame, bottomBin, endFrame, topBin);
CalculateEventStatistics(eventMatrix, hertzBinWidth, spectralTarget, stats);

return stats;
}

/// <summary>
/// This method is an alternative to the above. It is shorter because it calculates a decibel spectrogram by a shorter route.
/// The event is then extracted from the data matrix of the decibel spectrogram.
/// NOTE: When preparing the spectrogram, the Window, noise reduction type and NoiseReductionParameter are all assigned default values.
/// These may not be the same values that were assigned in the Profile Config originally used to find the event.
/// </summary>
/// <param name="recording">an audio recording, typically of one-minute duration.</param>
/// <param name="temporalTarget">The start and end times of the event relative to the recording.</param>
/// <param name="spectralTarget">The min and max frequency of the event.</param>
/// <param name="config">The config parameters for calculating the statistics.
/// Note that the config parameters for the spectrogram have to be prepared separately.</param>
/// <param name="segmentStartOffset">TIme offset of the current segment with respect to start of recording.</param>
/// <returns>An instance of eventStatstics.</returns>
public static EventStatistics AnalyzeAudioEvent2(
AudioRecording recording,
Interval<TimeSpan> temporalTarget,
Interval<double> spectralTarget,
EventStatisticsConfiguration config,
TimeSpan segmentStartOffset)
{
// temporal target is supplied relative to recording, but not the supplied audio segment
// shift coordinates relative to segment
var localTemporalTarget = temporalTarget.Shift(-segmentStartOffset);

if (!recording
.Duration
.AsIntervalFromZero(Topology.Inclusive)
.Contains(localTemporalTarget))
{
var stats = new EventStatistics
{
EventStartSeconds = temporalTarget.Minimum.TotalSeconds,
EventEndSeconds = temporalTarget.Maximum.TotalSeconds,
LowFrequencyHertz = spectralTarget.Minimum,
HighFrequencyHertz = spectralTarget.Maximum,
SegmentDurationSeconds = recording.Duration.TotalSeconds,
SegmentStartSeconds = segmentStartOffset.TotalSeconds,
};

stats.Error = true;
stats.ErrorMessage =
$"Audio not long enough ({recording.Duration}) to analyze target ({localTemporalTarget})";

return stats;
}

// convert recording to spectrogram
SonogramConfig spectrogramConfig = new SonogramConfig()
{
WindowSize = config.FrameSize,
WindowStep = config.FrameStep,
WindowOverlap = (config.FrameSize - config.FrameStep) / (double)config.FrameSize,
WindowFunction = WindowFunctions.HANNING.ToString(),
NoiseReductionType = NoiseReductionType.Standard,
NoiseReductionParameter = 0.0,
};

var decibelSpectrogram = new SpectrogramStandard(spectrogramConfig, recording.WavReader);
var stats2 = CalculateEventStatstics(decibelSpectrogram, temporalTarget, spectralTarget, segmentStartOffset);
return stats2;
}

public static EventStatistics CalculateEventStatstics(
BaseSonogram decibelSpectrogram,
Interval<TimeSpan> temporalTarget,
Interval<double> spectralTarget,
TimeSpan segmentStartOffset)
{
var duration = decibelSpectrogram.Duration;
var stats = new EventStatistics
{
EventStartSeconds = temporalTarget.Minimum.TotalSeconds,
EventEndSeconds = temporalTarget.Maximum.TotalSeconds,
LowFrequencyHertz = spectralTarget.Minimum,
HighFrequencyHertz = spectralTarget.Maximum,
SegmentDurationSeconds = duration.TotalSeconds,
SegmentStartSeconds = segmentStartOffset.TotalSeconds,
};

// temporal target is supplied relative to recording, but not the supplied audio segment
// shift coordinates relative to segment
var localTemporalTarget = temporalTarget.Shift(-segmentStartOffset);

// get spectrogram scale
double hertzBinWidth = decibelSpectrogram.FBinWidth;
int frameSize = decibelSpectrogram.Configuration.WindowSize;
var stepDurationInSeconds = frameSize / (double)decibelSpectrogram.SampleRate;

// convert time/frequency to frame/bin
var startFrame = (int)Math.Ceiling(localTemporalTarget.Minimum.TotalSeconds / stepDurationInSeconds);

// subtract 1 frame because want to end before start of end point.
var endFrame = (int)Math.Floor(localTemporalTarget.Maximum.TotalSeconds / stepDurationInSeconds) - 1;
var bottomBin = (int)Math.Floor(spectralTarget.Minimum / hertzBinWidth);
var topBin = (int)Math.Ceiling(spectralTarget.Maximum / hertzBinWidth);

// Events can have their high value set to the nyquist.
// Since the submatrix call below uses an inclusive upper bound an index out of bounds exception occurs in
// these cases. So we just ask for the bin below.
if (topBin >= frameSize / 2)
{
topBin = (frameSize / 2) - 1;
}

// extract the required acoustic event and calculate the stats.
var eventMatrix = MatrixTools.Submatrix(decibelSpectrogram.Data, startFrame, bottomBin, endFrame, topBin);
CalculateEventStatistics(eventMatrix, hertzBinWidth, spectralTarget, stats);
return stats;
}

public static void CalculateEventStatistics(double[,] eventMatrix, double hertzBinWidth, Interval<double> spectralTarget, EventStatistics stats)
{
// Get the SNR of the event. This is just the max value in the matrix because noise reduced
MatrixTools.MinMax(eventMatrix, out _, out double max);
stats.SnrDecibels = max;
Expand All @@ -133,6 +256,9 @@ public static EventStatistics AnalyzeAudioEvent(
var columnAverages = MatrixTools.GetColumnAverages(eventMatrix);
var rowAverages = MatrixTools.GetRowAverages(eventMatrix);

// ########## DEBUG ONLY - write array for debugging purposes.
LoggedConsole.WriteLine(DataTools.WriteArrayAsCsvLine(columnAverages, "0.00"));

// calculate the mean and temporal standard deviation in decibels
NormalDist.AverageAndSD(rowAverages, out double mean, out double stddev);
stats.MeanDecibels = 10 * Math.Log10(mean);
Expand All @@ -141,33 +267,25 @@ public static EventStatistics AnalyzeAudioEvent(
// calculate the frequency standard deviation in decibels
NormalDist.AverageAndSD(columnAverages, out mean, out stddev);
stats.FreqBinStdDevDecibels = 10 * Math.Log10(stddev);
int maxColumnId = DataTools.GetMaxIndex(columnAverages);
stats.DominantFrequency = (int)Math.Round(hertzBinWidth * maxColumnId) + (int)spectralTarget.Minimum;

// calulate the number of spectral peaks.
//var peaksArray = DataTools.SubtractValueAndTruncateToZero(columnAverages, mean);
DataTools.CountPeaks(columnAverages, out var peakCount, out _);
stats.SpectralPeakCount = peakCount;

// calculate relative location of the temporal maximum
int maxRowId = DataTools.GetMaxIndex(rowAverages);
stats.TemporalMaxRelative = maxRowId / (double)rowAverages.Length;

// calculate the entropy dispersion/concentration indices
// calculate the entropy indices. Returning energy concentration index = 1 - dispersion
stats.TemporalEnergyDistribution = 1 - DataTools.EntropyNormalised(rowAverages);
stats.SpectralEnergyDistribution = 1 - DataTools.EntropyNormalised(columnAverages);

// calculate the spectral centroid and the dominant frequency
// calculate the spectral centroid
double binCentroid = CalculateSpectralCentroid(columnAverages);
stats.SpectralCentroid = (int)Math.Round(hertzBinWidth * binCentroid) + (int)spectralTarget.Minimum;
int maxColumnId = DataTools.GetMaxIndex(columnAverages);
stats.DominantFrequency = (int)Math.Round(hertzBinWidth * maxColumnId) + (int)spectralTarget.Minimum;

// remainder of this method is to produce debugging images. Can comment out when not debugging.
/*
var normalisedIndex = DataTools.NormaliseMatrixValues(columnAverages);
var image4 = GraphsAndCharts.DrawGraph("columnSums", normalisedIndex, 100);
string path4 = @"C:\SensorNetworks\Output\Sonograms\UnitTestSonograms\columnSums.png";
image4.Save(path4);
normalisedIndex = DataTools.NormaliseMatrixValues(rowAverages);
image4 = GraphsAndCharts.DrawGraph("rowSums", normalisedIndex, 100);
path4 = @"C:\SensorNetworks\Output\Sonograms\UnitTestSonograms\rowSums.png";
image4.Save(path4);
*/
return stats;
}

/// <summary>
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -59,8 +59,12 @@ public void TestCalculateEventStatistics()
LoggedConsole.WriteLine($"Stats: DominantFrequency= {stats.DominantFrequency}");

Assert.AreEqual(0.0, stats.TemporalEnergyDistribution, 1E-4);
Assert.AreEqual(0.61647, stats.SpectralEnergyDistribution, 1E-4);
Assert.AreEqual(6011, stats.SpectralCentroid);

//Assert.AreEqual(0.61647, stats.SpectralEnergyDistribution, 1E-4); ######################### PREVIOUS TEST RESULT
Assert.AreEqual(0.5163051699370136, stats.SpectralEnergyDistribution, 1E-4);

//Assert.AreEqual(6011, stats.SpectralCentroid); ######################### PREVIOUS TEST RESULT
Assert.AreEqual(5939, stats.SpectralCentroid);
Assert.AreEqual(3998, stats.DominantFrequency);

Assert.AreEqual(1500, stats.LowFrequencyHertz);
Expand Down

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