A hearing aid device (10, 10') configured to be worn in or at an ear of a user comprising, at least two environment sound inputs (14, 14'), each being a microphone for receiving ambient sound and generating an electrical sound signal representing sound, a dedicated own voice beamformer system configured to retrieve, from the electrical sound signals, a user voice signal representing the voice of the user, and a single channel noise reduction unit processing a spatial sound signal of the own voice beamformer, and wherein the single channel noise reduction unit is configured to reduce noise in the electrical sound signals, a wireless sound input for receiving wireless sound signals from a communication device, an output transducer configured to stimulate hearing of the user, electric circuitry configured to operate the hearing aid device (10, 10') in various modes of operation, a transmitter unit configured to transmit signals representing sound and/or voice, and wherein the transmitter unit is configured to be wirelessly connected to the communication device and to transmit the user voice signal to the communication device, and wherein the wireless sound input is configured to be wirelessly connected to the communication device and to receive wireless sound signals from the communication device, wherein, when the hearing aid device (10, 10') operates in a communication mode, the electric circuitry is configured to process the electrical sound signals in combination with a wirelessly received wireless sound signal to generate an output signal, wherein the hearing aid device (10, 10') comprises a voice activity detection unit configured to detect if a voice signal of the user is present in the electrical sound signals, and wherein the electric circuitry is configured to estimate a noise power spectral density of a disturbing background noise from sound received with the at least two environment sound inputs (14, 14') when the voice activity detection unit detects an absence of a voice signal of the user in the electrical sound signal. at least two environment sound inputs (14, 14'), each being a microphone for receiving ambient sound and generating an electrical sound signal representing sound, a dedicated own voice beamformer system configured to retrieve, from the electrical sound signals, a user voice signal representing the voice of the user, and a single channel noise reduction unit processing a spatial sound signal of the own voice beamformer, and wherein the single channel noise reduction unit is configured to reduce noise in the electrical sound signals, a wireless sound input for receiving wireless sound signals from a communication device, an output transducer configured to stimulate hearing of the user, electric circuitry configured to operate the hearing aid device (10, 10') in various modes of operation, a transmitter unit configured to transmit signals representing sound and/or voice, and wherein the transmitter unit is configured to be wirelessly connected to the communication device and to transmit the user voice signal to the communication device, and wherein the wireless sound input is configured to be wirelessly connected to the communication device and to receive wireless sound signals from the communication device, wherein, when the hearing aid device (10, 10') operates in a communication mode, the electric circuitry is configured to process the electrical sound signals in combination with a wirelessly received wireless sound signal to generate an output signal, wherein the hearing aid device (10, 10') comprises a voice activity detection unit configured to detect if a voice signal of the user is present in the electrical sound signals, and wherein the electric circuitry is configured to estimate a noise power spectral density of a disturbing background noise from sound received with the at least two environment sound inputs (14, 14') when the voice activity detection unit detects an absence of a voice signal of the user in the electrical sound signal.