A hearing device comprising: - an input transducer for provision of an input signal; - a first filter adapted to filter the input signal in order to provide a first filtered signal, wherein the first filtered signal comprises a low-frequency part of the input signal, - a second filter adapted to filter the input signal in order to provide a second filtered signal, wherein the second filtered signal comprises a high-frequency part of the input signal, - a first synthesizing unit configured for generating a first synthetic signal based on the first filtered signal and a first sinusoidal modelling, - a combiner configured for combining the second filtered signal with the first synthetic signal for provision of a combined signal, - a processor configured for processing the combined signal in accordance with a hearing loss of a user of the hearing device in order to provide a processed signal, and - a receiver for converting the processed signal into an output sound signal, characterized in that the first synthesizing unit is configured for - dividing the first filtered signal into a first plurality of segments, which segments may be overlapping, - windowing and transforming each segment of the first plurality of segments into the frequency domain, and - selecting the N highest peaks in each segment, where N is at least 2, wherein the first synthesizing unit, while generating the first synthetic signal, is further configured for replacing at least a first part of the selected peaks with the first sinusoidal modelling having a lower frequency than the frequency of the at least first part of the respective selected peaks, thereby shifting at least a first part of the generated first synthetic signal downward in frequency. - an input transducer for provision of an input signal; - a first filter adapted to filter the input signal in order to provide a first filtered signal, wherein the first filtered signal comprises a low-frequency part of the input signal, - a second filter adapted to filter the input signal in order to provide a second filtered signal, wherein the second filtered signal comprises a high-frequency part of the input signal, - a first synthesizing unit configured for generating a first synthetic signal based on the first filtered signal and a first sinusoidal modelling, - a combiner configured for combining the second filtered signal with the first synthetic signal for provision of a combined signal, - a processor configured for processing the combined signal in accordance with a hearing loss of a user of the hearing device in order to provide a processed signal, and - a receiver for converting the processed signal into an output sound signal, characterized in that the first synthesizing unit is configured for - dividing the first filtered signal into a first plurality of segments, which segments may be overlapping, - windowing and transforming each segment of the first plurality of segments into the frequency domain, and - selecting the N highest peaks in each segment, where N is at least 2, wherein the first synthesizing unit, while generating the first synthetic signal, is further configured for replacing at least a first part of the selected peaks with the first sinusoidal modelling having a lower frequency than the frequency of the at least first part of the respective selected peaks, thereby shifting at least a first part of the generated first synthetic signal downward in frequency.