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Rolling element bearings are at the heart of almost§every rotating machine. They have received a lot of§attention in the field of vibration analysis as they§represent a common source of faults, which can be§detected at an early stage. This book provides an§insight into the vibrations of defective rolling§element bearings with the aim of improving their§reliability, developing state of the art vibration§analysis algorithms and improving the understanding§of the interactions between bearings and gears. The§book touches on the three main areas, which are§relevant to the condition monitoring of rolling§element bearings. These are diagnostics, prognostics§and fault simulation. A novel signal-processing§algorithm to diagnose localized faults in rolling§element bearings has been developed. The problem of§modelling the vibration signals from a spalled§bearing in a gearbox environment has been discussed.§The book is written for researchers, academics,§reliability and maintenance engineers who work in the§filed of machine condition health usage and§monitoring and have an interest in vibration signal§processing, dynamic fault simulations, fault§detection, and remaining useful life prognosis