Dimensionality reduction for discrimination: removal of common structures with iSTAC

Many neuroscience experiments, particularly those directed at exploring the relationship between sensory input and neural responses through various uses of a response conditioned stimulus ensemble (RCSE) use gaussian white noise (GWN) stimuli. Even a "purely" white stimulus will be band limited due to the constraints of being discretely sampled and finitely long, but in a typical experiment, explicit band limits are applied by the experimenters, which are more restrictive than the limits due to sampling. The covariance matrix of a 5-200 Hz band-limited signal is shown in Figure 1A.