I. Introduction
Machine condition monitoring can have a relevant impact on the performance of a plant or a machine and has attracted an increasing attention both from the industry and from the research community over the past decade. The goal of the machine health monitoring is to identify potential failure causes or failures at the early stage, such that timely adjustment and maintenance actions can be taken to reduce severe damage and expensive downtime. Condition-based maintenance based on different monitoring systems and techniques was proven to greatly reduce operating costs and improve reliability and availability of different machinery such as machine tools [1], automotive engines, and rotating machineries such as electric machines, compressors and turbines [2]. Health monitoring systems are based on the measurement of many different physical (or chemical) quantities [3] through suitable systems and sensors [2], [4]–[8]. In this context, the accurate measurement of the instantaneous angular speed (IAS) is particularly relevant for the condition monitoring of every rotating machines and in particular of turbines [9]–[11] because it allows the detection of many different fault conditions such as roller bearing [12] and rotor blades faults [13], and can be used in torsional vibration monitoring and analysis [14]–[20] systems.