In this work we present construction details of a precision, standalone, and compact digital synthetic impedance for application in the field of vibration damping. The presented device is based on an embedded ARM microcontroller with external AD and DA converters and a special analog front-end. The performance of the device is tested by comparing the actually synthesized impedance with several prescribed impedances and shows very good match. Fine-tuning ability of the device, which is crucial for the considered application, is also demonstrated and reaches as small step as 0.1% for the most complicated impedance structure and drops below the level of direct measurability with less complex structures. The real application in vibration damping is demonstrated on a simple and well understood case of a one-dimensional vibrating spring-mass system with piezoelectric actuator embedded as the interface between source of vibrations and vibrating mass.