The paper focus on machining of difficult-to-cut materials where a significant component is titanium. The paper discusses the complex process of electrochemical grinding (ECG). A practical example was given by discussing the results of ECG. Selected difficult-to-cut materials, along with their typical ECG properties, were compared. In addition, the paper discusses the phenomenon of micro short-circuits constituting a form of an interference characteristic for the process.Results presented in the paper refer to the phenomenon of a micro short-circuits, i.e. the case when a rapid and uncontrolled electrical discharge occurs in the machining zone. The paper presents examples of recorded micro short-circuits and attempts a time-frequency analysis regarding the occurrence of the disturbance. To reveal the dynamics of the ECG process we apply the wavelet analysis.