A device for determining at least one property of a wireless transmission channel (I 1, I 2) between a useful-signal transmitter of the device for transmitting a binary useful signal as well as a compensation signal transmitter of the device for transmitting a binary compensation signal on the one hand, and a receiver on the other hand, wherein the transmission channel comprises a first transmission path (I 1) provided between the useful-signal transmitter and the receiver and to be determined with regard to its properties, and a second transmission path (I 2), whose properties are known, provided between the compensation signal transmitter and the receiver, and wherein the useful-signal transmitter and the compensation signal transmitter are operable in a clocked manner, including - a one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) comprising an input coupled with the compensation signal transmitter via the receiver and an output for supplying a digital signal, - wherein the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) comprises an inverter comprising a switching threshold and including an inverter input coupled with the input of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) as well as an inverter output coupled with the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c), a low-pass filter (10a, 10b, 10c) for feeding back the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) to the inverter input, and a highpass filter, in particular configured as a capacitor, between the input of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) and the inverter input, - a scalar-product unit comprising a multiplication unit for obtaining the product between an output signal of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) and a binary control signal for the compensation signal transmitter, and a filter with an integrating filter effect for obtaining the scalar-product result signal, - wherein the multiplication unit comprises an EXOR gate for multiplying the one-bit output signal at the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) by the control signal for the compensation signal transmitter, - another multiplication unit for multiplying the output signal (15, 29) of the filter by a second signal which is equal to the logically inverted control signal for the compensation signal transmitter, and - a compensation signal generation unit for generating a binary control signal for the useful-signal transmitter for transmitting the useful signal to the receiver via the first transmission path (I 1), at which receiver the compensation signal and the useful signal superimpose each other to form a DC signal, - wherein the compensation signal generation unit comprises a digital-to-analog converter for converting the filter output signal (15, 29) multiplied by the second signal into an analog signal as a control signal for the useful-signal transmitter, and - wherein the property of the first transmission path (I 1) is obtainable on the basis of the scalar-product result signal. - a one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) comprising an input coupled with the compensation signal transmitter via the receiver and an output for supplying a digital signal, - wherein the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) comprises an inverter comprising a switching threshold and including an inverter input coupled with the input of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) as well as an inverter output coupled with the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c), a low-pass filter (10a, 10b, 10c) for feeding back the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) to the inverter input, and a highpass filter, in particular configured as a capacitor, between the input of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) and the inverter input, - a scalar-product unit comprising a multiplication unit for obtaining the product between an output signal of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) and a binary control signal for the compensation signal transmitter, and a filter with an integrating filter effect for obtaining the scalar-product result signal, - wherein the multiplication unit comprises an EXOR gate for multiplying the one-bit output signal at the output of the one-bit analog-to-digital converter (22, 9, 10a, 10b, 10c) by the control signal for the compensation signal transmitter, - another multiplication unit for multiplying the output signal (15, 29) of the filter by a second signal which is equal to the logically inverted control signal for the compensation signal transmitter, and - a compensation signal generation unit for generating a binary control signal for the useful-signal transmitter for transmitting the useful signal to the receiver via the first transmission path (I 1), at which receiver the compensation signal and the useful signal superimpose each other to form a DC signal, - wherein the compensation signal generation unit comprises a digital-to-analog converter for converting the filter output signal (15, 29) multiplied by the second signal into an analog signal as a control signal for the useful-signal transmitter, and - wherein the property of the first transmission path (I 1) is obtainable on the basis of the scalar-product result signal.