Abstract-For a variety of signal processing applications polynomials are implemented in circuits. Recent work on polynomial datapath optimization achieved significant reductions of hardware cost as well as delay compared to previous approaches like Horner form or Common Sub-expression Elimination (CSE). This work 1) proposes a formal model for single-and multi-polynomial factorization and 2) handles optimization as a constraint solving problem using an explicit cost function. By this, optimal datapath implementations with respect to the cost function are determined. Compared to recent state-of-the-art heuristics an average reduction of area and critical path delay is achieved.
This paper proposes a word-level coverage metric to determine the completeness of a set of properties verified by a word-level method. An algorithm is presented to compute a functionality based coverage metric for a sequence property as specification. Control, intermediate and output signals are represented by a multiplexer based structure of linear integer equations, and RT level properties are directly applied to this representation. A set of integer equations are symbolically simulated based on the specified property in a predictable time. We used a canonical form of linear Taylor Expansion Diagram.
An efficient method for the smooth estimation of the arrival rate of non-homogeneous, multi-dimensional Poisson processes from inexact arrivals is presented. The method provides a piecewise polynomial spline estimator. It is easily parallelized, and it exploits the sparsity of the neighborhood structure of the underlying spline space; as a result, it is very efficient and scalable. Numerical illustration is included.
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