Converts the received complex symbols $\tilde{a}[k]$ into decimal symbol decisions $\hat{s}[k]$ and complex symbol decisions $\hat{a}[k]$ using maximum-likelihood estimation (MLE).

Parameters:¶

a_tilde: ArrayLike¶

The received complex symbols $\tilde{a}[k]$.

Returns:¶

• The decimal symbol decisions $\hat{s}[k]$, $0$ to $M-1$.

• The complex symbol decisions $\hat{a}[k]$.