executing the task, and the system receiving and storing the task signals generated by the sensors. After repeated trials of training executions of the task, the system may have stored multiple task signals from multiple sensors over multiple trials. [0029] As noted above, in some embodiments, training may be performed by a single user. This approach may be more personalized and more accurate for a single user who may operate a system. However, embodiments in which training may be performed by a population of users for general calibration and use of a system are also contemplated. Such an embodiment may be more easily implemented, and be more accurate, for use by a population of users that use a system at the expense of some accuracy for individual users within the population. [0030] In some embodiments, at least a portion, and in some instances all, of the multiple task signals may be stored in a data matrix. Based at least in part on the operational range of the task signals, a range space of the data matrix may be defined corresponding to an operational range of the signals that may be associated with performing the task of interest. Any of a number of techniques may be used to define a range space of the data matrix. For example, the range space may be defined using any of a number of statistical techniques, including principal component analysis, and/or any other appropriate analytical technique capable of defining a range space that can be used to determine an operational range of signals associated with a user performing a particular task. [0031] In some embodiments, a null space of a data matrix may be defined corresponding to a combination of sensor signals that lie outside of a normal operational range associated with performing a task. Any of a number of techniques may be used to define the null space of the data matrix. For example, the null space may be defined using any of a number of statistical techniques, including principal component analysis, and/or any other appropriate analytical technique capable of defining a null space of signals associated with a user performing a particular task. [0032] Regardless of how a range space and/or a null space is determined for signals associated with performance of a particular task, the range space and/or null space may be used to identify signals associated with a nominal operational range for a task being performed by the user and signals that lie outside of a nominal operational range for