Abstract: The system can utilize a standard high speed FPGA interface for a non-traditional use to facilitate the processing of high amounts of streaming digital data or the method can be implemented in other high speed data transfer systems. This system and method include the use of training/calibration pattern techniques implemented in a FPGA, or other system, to calibrate numerous multi-arm demultiplexers. The training/calibration sequence data rate being slower than the input data rate. In one example, the system and method utilized a mono-bit receiver capable of digitizing signals of at least 40 GHz with at least 20 GHz of instantaneous bandwidth.

Abstract: The system can utilize a standard high speed FPGA interface for a non-traditional use to facilitate the processing of high amounts of streaming digital data or the method can be implemented in other high speed data transfer systems. This system and method include the use of training/calibration pattern techniques implemented in a FPGA, or other system, to calibrate numerous multi-arm demultiplexers. The training/calibration sequence data rate being slower than the input data rate. In one example, the system and method utilized a mono-bit receiver capable of digitizing signals of at least 40 GHz with at least 20 GHz of instantaneous bandwidth.

Abstract: A two-plane rotation (TPR) approach to Gaussian elimination (Jacobi) is used for computational efficiency in determining rotation parameters. A rotation processor is constructed using the TPR approach to perform singular value decomposition (SVD) on two by two matrices yielding both eigenvalues and left and right eigenvectors. The rotation processor can then be replicated and interconnected to achieve higher dimensioned matrices. For higher dimensional matrices, the rotation processors on the diagonal solve the 2×2 rotation angles, broadcast the results to off-diagonal processors, whereby all processors perform matrix rotations in parallel.

Abstract: An attachment for a weight stack type exercise machine to pull the weight stack down while it is being lowered, (or to pull on a weight stack lifting means so as to add to the force applied to the lifting means by the weight stack) so that the eccentric exercise force required to lower the stack is greater than the concentric exercise force required to raise it. Such asymmetric exercise forces more closely match muscle strengths, which are normally greater for eccentric exercise than for concentric exercise. The attachment has an electric motor and a control unit including a keypad, a display and a microcontroller. The motor is coupled to the weight stack by an eccentric force control cable or a toothed belt or alternatively is operatively connected so as to apply additional force to the lifting arrangement. The keypad allows the user to select the amount of force added during the eccentric phase of exercise, when the weight stack is moving down.

Abstract: An attachment for a weight stack type exercise machine to pull the weight stack down while it is being lowered, so that the eccentric exercise force required to lower the stack is greater than the concentric exercise force required to raise it. Such asymmetric exercise forces more closely match muscle strengths, which are normally greater for eccentric exercise than for concentric exercise. The attachment has an electric motor and a control unit including a keypad, a display and a microcontroller. The motor is coupled to the weight stack by an eccentric force control cable. The keypad allows the user to select the amount of force added during the eccentric phase of exercise, when the weight stack is moving down and part of a lifting cable connected to a handle or engageable member on the weight stack type machine is moving in. A sensor enables the controller to determine whether the weight stack is moving up or down.