The invention relates to a listening device for processing an input sound to an output sound. The invention further relates to a method of estimating a feedback transfer function in a listening device. The object of the present invention is to provide an alternative scheme for minimizing feedback in listening devices. The problem is solved in that the listening device comprises an input transducer for converting an input sound to an electric input signal and defining an input side, an output transducer for converting a processed electric output signal to an output sound and defining an output side, a forward path being defined between the input transducer and the output transducer, and comprising a signal processing unit adapted for processing an SPU-input signal originating from the electric input signal and to provide a processed SPU-output signal, and an electric feedback loop from the output side to the input side comprising a feedback path estimation unit for estimating an acoustic feedback transfer function from the output transducer to the input transducer, and a enhancement unit for estimating noise-like signal components in the electric signal of the forward path and providing a noise signal estimate output, wherein the feedback path estimation unit is adapted to use the noise signal estimate output in the estimation of the acoustic feedback transfer function. This has the advantage of providing an adaptive feedback cancellation system which is robust in situations with a high degree of correlation between the output signal and the input signal of a listening device. The invention may e.g. be used in hearing aids, head sets, mobile phones, wearable/portable communication devices, etc.