ÐThis paper considers the design of bit-parallel dedicated finite field multipliers using standard basis. An explicit algorithm is proposed for efficient construction of Mastrovito product matrix, based on which we present a systematic design of Mastrovito multiplier applicable to GF …2m† generated by an arbitrary irreducible polynomial. This design effectively exploits the spatial correlation ...

We propose an extremely energy-ecient mixed-signal approach for performing vector-by-matrix multiplication in a time domain. In such implementation, multi-bit values of the input and output vector elements are represented with time-encoded digital signals, while multi-bit matrix weights are realized with current sources, e.g. transistors biased in subthreshold regime. With our approach, multip...

We study vectors which undergo maximum or minimum rotation by a matrix on the field of real numbers. The cosine of the angle between a maximally rotated vector and its image under the matrix is called the cosine or antieigenvalue of the matrix and has important applications in numerical methods. Using Lagrange multiplier technique, we obtain systems of nonlinear equations which represent these ...

High performance systems are required by the developers for fast processing of computationally intensive applications. Reconfigurable hardware devices in the form of FiledProgrammable Gate Arrays (FPGAs) have been proposed as viable system building blocks in the construction of high performance systems at an economical price. Given the importance and the use of matrix algorithms in scientific c...

In this paper we present a construction of interpolatory Hermite multiwavelets for functions that take values in nonlinear geometries such as Riemannian manifolds or Lie groups. We rely on the strong connection between wavelets and subdivision schemes to define prediction-correction approach based operate manifold-valued data. The main result concerns decay wavelet coefficients: show our essent...