A system for providing hearing assistance to at least one user, comprising: an ear-worn device comprising a power source; at least one audio signal source (17, 20, 25, 110) for providing audio signals; a transmission unit comprising a digital transmitter for applying a digital modulation scheme in order to transmit the audio signals as data packets according to a frame structure from the audio signal source via a wireless digital audio link; at least one receiver unit for reception of audio signals from the transmission unit via the digital audio link, wherein the receiver unit is connected to or integrated within the ear-worn device which comprises the power source and means (42, 64, 82) for stimulating the hearing of the user(s) according to the audio signals supplied from the receiver unit, wherein the receiver unit comprises a digital transceiver which is powered by the power source of the ear-worn device and which is adapted to listen, and optionally transmit, during part of each frame and to sleep during the remainder of the frame; wherein the receiver unit comprises a capacitor connected in parallel to the transceiver for supplying the transceiver during listening or transmission operation with current and for being recharged by the power supply of the ear-worn device and a controlled current source including a control unit (92, 97) for controlling the current (I 2) flowing from the power source to the transceiver and the capacitor in a manner so as to prevent changes in the current flowing from the power source to the transceiver and the capacitor caused by the transceiver switching between sleeping and listening/transmission operation and vice versa, respectively, which are expected to add an audible noise signal to the audio signals supplied to the stimulation means, wherein the controlled current source is adapted to adjust the current (I 2) flowing from the power source to the transceiver and the capacitor to a constant target current value selected according to the estimated quality of the audio link or according to the estimated average current consumption of the transceiver, wherein the controlled current source includes a voltage multiplier adapted to increase the voltage provided by the power source, and wherein the voltage multiplier is a step-up DC/DC converter having its input connected to the power source and delivering an output voltage to the capacitor and the transceiver having a value set between a lower limit and an upper limit. an ear-worn device comprising a power source; at least one audio signal source (17, 20, 25, 110) for providing audio signals; a transmission unit comprising a digital transmitter for applying a digital modulation scheme in order to transmit the audio signals as data packets according to a frame structure from the audio signal source via a wireless digital audio link; at least one receiver unit for reception of audio signals from the transmission unit via the digital audio link, wherein the receiver unit is connected to or integrated within the ear-worn device which comprises the power source and means (42, 64, 82) for stimulating the hearing of the user(s) according to the audio signals supplied from the receiver unit, wherein the receiver unit comprises a digital transceiver which is powered by the power source of the ear-worn device and which is adapted to listen, and optionally transmit, during part of each frame and to sleep during the remainder of the frame; wherein the receiver unit comprises a capacitor connected in parallel to the transceiver for supplying the transceiver during listening or transmission operation with current and for being recharged by the power supply of the ear-worn device and a controlled current source including a control unit (92, 97) for controlling the current (I 2) flowing from the power source to the transceiver and the capacitor in a manner so as to prevent changes in the current flowing from the power source to the transceiver and the capacitor caused by the transceiver switching between sleeping and listening/transmission operation and vice versa, respectively, which are expected to add an audible noise signal to the audio signals supplied to the stimulation means, wherein the controlled current source is adapted to adjust the current (I 2) flowing from the power source to the transceiver and the capacitor to a constant target current value selected according to the estimated quality of the audio link or according to the estimated average current consumption of the transceiver, wherein the controlled current source includes a voltage multiplier adapted to increase the voltage provided by the power source, and wherein the voltage multiplier is a step-up DC/DC converter having its input connected to the power source and delivering an output voltage to the capacitor and the transceiver having a value set between a lower limit and an upper limit.