The paper presents an optimum receiver for digitally modulated signals in additive class-A impulsive noise. The receiver is based on maximum likelihood (ML) approach. The performance of the receiver is derived theoretically. The performance is measured by the bit error probability. Computer simulations are illustrated to validate the theoretical developments. It is shown that the performance of the developed receiver is sensitive to the impulsive index of the noise. Decreasing the value of the impulsive index degrades the performance of the receiver and reduces the receiver resistivity against frequency offset.