/// <summary>
/// Backward Weyl-Heisenberg transform.
/// </summary>
/// <param name="B">Array</param>
/// <returns>Array</returns>
public Complex32[] Backward(Complex32[] B)
{
int N = B.Length;
Complex32[,] U = WeylHeisenbergTransform.Matrix(this.window, N, this.m, true);
Complex32[] A = Matrice.Dot(B, U);
return(A);
}
/// <summary>
/// Forward Weyl-Heisenberg transform.
/// </summary>
/// <param name="A">Array</param>
/// <returns>Array</returns>
public Complex32[] Forward(Complex32[] A)
{
int N = A.Length;
Complex32[,] U = WeylHeisenbergTransform.Matrix(this.window, N, this.m, true);
Complex32[] B = Matrice.Dot(A, U.Hermitian());
return(B);
}
/// <summary>
/// Returns the complex Weyl-Heisenberg basis matrix.
/// <remarks>
/// Matrix dimension[N, N], where N = M * L.
/// </remarks>
/// </summary>
/// <param name="g0">Function</param>
/// <param name="M">Number of frequency shifts</param>
/// <param name="orthogonalize">Orthogonalized matrix or not</param>
/// <returns>Matrix</returns>
public static Complex32[,] Matrix(float[] g0, int M, bool orthogonalize = true)
{
if (orthogonalize)
{
ZakTransform zakTransform = new ZakTransform(M);
return(WeylHeisenbergTransform.Matrix(zakTransform.Forward(g0), M));
}
return(WeylHeisenbergTransform.Matrix(g0, M));
}
/// <summary>
/// Backward Weyl-Heisenberg transform.
/// </summary>
/// <param name="B">Matrix</param>
/// <returns>Matrix</returns>
public Complex32[,] Backward(Complex32[,] B)
{
int N = B.GetLength(0), M = B.GetLength(1);
Complex32[,] U = WeylHeisenbergTransform.Matrix(this.window, N, this.m, true);
Complex32[,] V = WeylHeisenbergTransform.Matrix(this.window, M, this.m, true);
Complex32[,] A;
if (direction == Direction.Both)
{
A = U.Dot(B).Dot(V.Hermitian());
}
else if (direction == Direction.Vertical)
{
A = U.Dot(B);
}
else
{
A = B.Dot(V.Hermitian());
}
return(A);
}
/// <summary>
/// Forward Weyl-Heisenberg transform.
/// </summary>
/// <param name="A">Matrix</param>
/// <returns>Matrix</returns>
public Complex32[,] Forward(Complex32[,] A)
{
int N = A.GetLength(0), M = A.GetLength(1);
Complex32[,] U = WeylHeisenbergTransform.Matrix(this.window, N, this.m, true);
Complex32[,] V = WeylHeisenbergTransform.Matrix(this.window, M, this.m, true);
Complex32[,] B;
if (direction == Direction.Both)
{
B = U.Hermitian().Dot(A).Dot(V);
}
else if (direction == Direction.Vertical)
{
B = U.Hermitian().Dot(A);
}
else
{
B = A.Dot(V);
}
return(B);
}
/// <summary>
/// Returns the complex Weyl-Heisenberg basis matrix.
/// <remarks>
/// Matrix dimension[N, N], where N = M * L.
/// </remarks>
/// </summary>
/// <param name="window">Windows function</param>
/// <param name="N">Number of samples</param>
/// <param name="M">Number of frequency shifts</param>
/// <param name="orthogonalize">Orthogonalized matrix or not</param>
/// <returns>Matrix</returns>
public static Complex32[,] Matrix(IWindow window, int N, int M, bool orthogonalize = true)
{
return(WeylHeisenbergTransform.Matrix(WeylHeisenbergTransform.GetPacket(window, N), M, orthogonalize));
}