Creates a new discrete memoryless channel (DMC).

Parameters:¶

P: ArrayLike¶

The \(m \times n\) transition probability matrix \(P\), where \(P = \Pr(Y = y_j | X = x_i)\).

X: ArrayLike | None = None¶

The input alphabet \(\mathcal{X}\) of size \(m\). If None, it is assumed that \(\mathcal{X} = \{0, 1, \dots, m-1\}\).

Y: ArrayLike | None = None¶

The output alphabet \(\mathcal{Y}\) of size \(n\). If None, it is assumed that \(\mathcal{Y} = \{0, 1, \dots, n-1\}\).

seed: int | None = None¶

The seed for the random number generator. This is passed to numpy.random.default_rng().