1. A fault detection system for detecting faults in a turbine engine, the fault detection system comprising: a kernel-based Maximum Representation Discrimination Features (MRDF) feature extractor, the kernel-based MRDF feature extractor receiving measured turbine sensor data from the turbine engine, the kernel-based MRDF feature extractor using a nonlinear kernel function, the nonlinear kernel function comprising a nonlinear mapping of the measured turbine sensor data to a higher dimensional space, the kernel-based MRDF feature extractor using the nonlinear kernel function to extract features indicative of nonlinear correlations in the sensor data; and a classifier, the classifier receiving the extracted features and classifying the extracted features to determine if a fault occurred in the turbine engine, wherein the kernel-based MRDF feature extractor is developed using historical sensor data from known good and known bad turbine engines.