Hearing device comprising a noise reduction system

A hearing aid configured to be worn by a user at or in an ear or to be fully or partially implanted in the head at an ear of the user, the hearing aid comprising:

• an input unit for providing at least one electric input signal in a time frequency representation k, m, where k and m are frequency and time indices, respectively, and k represents a frequency channel, the at least one electric input signal being representative of sound and comprising target signal components and noise components;
• and
• a signal processor comprising:
• an SNR estimator for providing a target signal-to-noisy ratio (SNR) estimate for said at least one electric input signal in said time frequency representation, wherein the target signal-to-noisy ratio is based on the ratio between the target signal components and the at least one electric input signal;
• wherein the SNR estimator comprises a neural network, wherein the weights of the neural network have been trained with a plurality of training signals, and wherein the outputs of the neural network comprise complex valued gains or separate real valued gains and real valued phases;
• and
• wherein said time frequency representation of the at least one electric input signal comprises magnitude information as well as phase information.