/// <summary>
/// Backward Laplace 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 = LaplaceTransform.Matrix(N, sigma, true);
Complex32[,] V = LaplaceTransform.Matrix(M, sigma, true);
Complex32[,] A;
if (direction == Direction.Both)
{
A = U.Hermitian().Dot(B).Dot(V);
A = normalized ? A.Div(Math.Sqrt(N * M)) : A;
}
else if (direction == Direction.Vertical)
{
A = U.Hermitian().Dot(B);
A = normalized ? A.Div(Math.Sqrt(N)) : A;
}
else
{
A = B.Dot(V);
A = normalized ? A.Div(Math.Sqrt(M)) : A;
}
return(A);
}
/// <summary>
/// Forward Laplace 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 = LaplaceTransform.Matrix(N, sigma);
Complex32[,] V = LaplaceTransform.Matrix(M, sigma);
Complex32[,] B;
if (direction == Direction.Both)
{
B = U.Dot(A).Dot(V.Hermitian());
B = normalized ? B.Div(Math.Sqrt(N * M)) : B;
}
else if (direction == Direction.Vertical)
{
B = U.Dot(A);
B = normalized ? B.Div(Math.Sqrt(N)) : B;
}
else
{
B = A.Dot(V.Hermitian());
B = normalized ? B.Div(Math.Sqrt(M)) : B;
}
return(B);
}
/// <summary>
/// Backward Laplace transform.
/// </summary>
/// <param name="B">Array</param>
/// <returns>Array</returns>
public Complex32[] Backward(Complex32[] B)
{
int N = B.Length;
Complex32[,] U = LaplaceTransform.Matrix(N, sigma, true);
Complex32[] A = Matrice.Dot(B, U.Hermitian());
if (normalized)
{
A = Matrice.Div(A, Math.Sqrt(N));
}
return(A);
}
/// <summary>
/// Forward Laplace transform.
/// </summary>
/// <param name="A">Array</param>
/// <returns>Array</returns>
public Complex32[] Forward(Complex32[] A)
{
int N = A.Length;
Complex32[,] U = LaplaceTransform.Matrix(N, sigma);
Complex32[] B = Matrice.Dot(A, U);
if (normalized)
{
B = Matrice.Div(B, Math.Sqrt(N));
}
return(B);
}