Abstract: Apparatus and methods for the collection, processing, storage, communication and use of data generated by an array of sensors connected to some physical structure in which bandwidth allocation methods are used in response to known and predictable propagation of signal events through the network. Use of these data allocation methods further enable the efficient use of data compression and encryption techniques.

Abstract: Apparatus and methods for the detection and localization of internal and external disturbances in and around a physical structure from data generated by an array of sensors and processing systems connected to the physical structure.

Abstract: Apparatus and methods for repetitive and consistent collection, processing, feedback, storage, communication and use of data generated by one or more sensors and feedback devices embedded in apparel or orthodics worn by a user.

Abstract: Apparatus and methods for the collection, processing, storage, communication and use of data generated by an array of sensors connected to a body for the purposes of monitoring and measuring physical motion. Analysis of the collected data is employed to aid the user in accomplishing more efficient and effective physical exercise or training. Data may also be used by 3rd parties to monitor performance and update training or exercise regimes.

Abstract: In a polynomial processor a plurality of training data are received which express the desired relationship between the processor's output and input. The terms of a polynomial function are determined using a regression subsets method on the training data. The coefficient for each term is determined and the polynomial processor is programmed by loading the terms and coefficients into the processor.

Abstract: A computer processor for performing mathematical operations includes a logarithm converter which generates log values on a data bus, a plurality of processing elements connected to the data bus, an inverse-logarithm converter which receives values from the processing elements, an accumulator which sums converted values from the inverse-logarithm converter, and a control unit for configuring the accumulator to perform various summing operations. The computer processor also includes a switch for providing processor outputs as feedback. An instruction, selected from a set of instructions, is decoded by the control unit to configure the computer processor to perform operations on a data stream.

Abstract: A system polynomial is determined using a plurality of system I/O data, wherein the system polynomial expresses the system output in terms of the system input, and wherein the system polynomial has at least one linear term and at least one nonlinear term. A control polynomial is determined, the control polynomial having at least one cancellation term and at least one control term, the at least one cancellation term calculated to cancel the at least one nonlinear term of the system polynomial, and the at least one control term calculated to control the at least one linear term of the system polynomial. A control output signal is generated based on the control polynomial and the control input signal.