The invention refers to a sensor arrangement (100) for sensing vibrations. The sensor arrangement (100) comprises a vibration sensor (10) configured to provide a sensor signal (101 and an amplifier unit (20) configured to amplify the sensor signal (101) over a predefined operation frequency band (61, 71) with a gain according to a first transfer function (60, 70) and to provide an analog amplifier output signal (102. The sensor arrangement further comprises an analog-to-digital converter, ADC, (30) configured to convert the amplifier output signal (102) into a first digital signal (103); and a digital compensation unit (40) configured to apply a second transfer function on the first digital signal (103), wherein the second transfer function is an inverse function of the first transfer function (60, 70). The operation frequency band (61, 71) comprises a low-frequency band (62, 72) and a high-frequency band (63, 73) and the gain of the predefined first transfer function (60, 70) is lower in the low-frequency band (62, 72) than in the high-frequency band (63, 73).