/// <summary>
/// Создание вейвлета по масштабному множителю с указанием вейвлета из перечисления
/// </summary>
/// <param name="W"></param>
/// <param name="ww"></param>
/// <param name="k"></param>
public Wavelet(Wavelets W = Wavelets.MHAT, double ww = 1)
{
this.w = ww;
this.Type = W;
switch (W)
{
case Wavelets.WAVE:
this.Mother = (double t) => - t * Math.Exp(-t * t / 2);
this.FMother = (Complex w) => Complex.I * w * sqrt2pi * Complex.Exp(-w * w / 2);
break;
case Wavelets.MHAT:
this.Mother = (double t) => { double sqr = t * t; return((1 - sqr) * Math.Exp(-sqr / 2)); };
this.FMother = (Complex w) =>
{
var sqr = -w * w;
return(sqr * sqrt2pi * Complex.Exp(sqr / 2));
};
break;
case Wavelets.DOG:
this.Mother = (double t) => { double sqr = -t * t / 2; return(Math.Exp(sqr) - 0.5 * Math.Exp(sqr / 4)); };
this.FMother = (Complex w) =>
{
var sqr = -w * w;
return(sqrt2pi * (Complex.Exp(sqr / 2) - Complex.Exp(2 * sqr)));
};
break;
case Wavelets.LP:
this.Mother = t =>
{
double pt = t * Math.PI;
return((2.0 * Math.Cos(pt) - 1.0) * Math.Sin(pt) / pt);
};
this.FMother = (Complex w) =>
{
double tmp = w.Abs;
if (tmp <= 2 * Math.PI && tmp >= Math.PI)
{
return(frac1sqrt2pi);
}
return(0);
};
break;
case Wavelets.HAAR:
this.Mother = t =>
{
if (t >= 0)
{
if (t <= 0.5)
{
return(1);
}
if (t <= 1)
{
return(-1);
}
return(0);
}
return(0);
};
this.FMother = (Complex w) => 4 * Complex.I * Complex.Exp(Complex.fracI2 * w) / w * Complex.Sin(w / 4).Sqr();
break;
case Wavelets.FHAT:
this.Mother = t =>
{
double q = t.Abs();
if (q <= 1.0 / 3)
{
return(1);
}
if (q <= 1)
{
return(-0.5);
}
return(0);
};
this.FMother = (Complex w) => 4 * Complex.Sin(w / 3).Pow(3) / w;
break;
case Wavelets.Morlet:
this.Mother = t => Math.Exp(-t.Sqr() / 2) * Complex.Exp(Complex.I * w * t);
this.FMother = (Complex w) => sigma(w) * sqrt2pi * Complex.Exp(-(w - this.w).Sqr() / 2);
break;
case Wavelets.Gabor:
const double w_0 = 2 * Math.PI;
double gamma = Math.PI * Math.Sqrt(2.0 / Math.Log(2));
double fracw0gamma = Math.Sqrt(2 * Math.Log(2));
double fracgammaw0 = 1.0 / fracw0gamma;
double sqrfracw0gamma = fracw0gamma * fracw0gamma;
double sqrfracgammaw0 = fracgammaw0 * fracgammaw0;
double fracpis = Math.Pow(Math.PI, -0.25);
double sqrtfracw0gammapis = fracpis * Math.Sqrt(fracw0gamma);
double fracs2pipis = sqrt2pi / fracpis;
double Gabortmp = -sqrfracw0gamma / 2;
this.Mother = t => sqrtfracw0gammapis *Math.Exp(Gabortmp *t *t) * Complex.Expi(w_0 * t);
this.FMother = (Complex w) => fracs2pipis *Math.Sqrt(fracgammaw0) * Complex.Exp(-sqrfracgammaw0 / 2 * (w - w_0).Sqr());
break;
}
}
/// <summary> /// Создать вейвлет /// </summary> /// <param name="W"></param> /// <param name="k"></param> /// <param name="ww"></param> /// <returns></returns> public static Wavelet Create(Wavelets W = Wavelets.MHAT, double ww = 1) => new Wavelet(W, ww);
private void DWT()
{
while (start)
{
lock (data)
{
if (!data.IsEmpty && !stop)
{
data.TryDequeue(out List <Double> res);
Signal <Double> sig = new Signal <double>(res.ToArray());
formsPlot1.plt.Clear();
try
{
int level = Convert.ToInt32(this.ResolveText.Text);
DiscreteWaveletTransform rs = DiscreteWaveletTransform.Estimate(sig, Wavelets.Daubechies(2), new ZeroPadding <Double>());
DiscreteWaveletTransform rs1 = rs.EstimateMultiscale(new ZeroPadding <Double>(), level);
if (showType == 0)
{
//formsPlot1.plt.PlotSignal(rs.Detail.ToArray(), label: "第一层细节");
showGraph(rs1, level, showType);
}
else
{
//formsPlot1.plt.PlotSignal(rs1.Approximation.ToArray(), label: "第一层概貌");
showGraph(rs1, level, showType);
}
formsPlot1.plt.Legend();
formsPlot1.Render();
}
catch (Exception e)
{
Console.WriteLine(e.Message);
}
}
}
}
}