In this paper we propose a flexible 4-moduli set (2 p+k , 2 p +1, 2 p -1, 2 2p +1) which is profitable to construct a high-speed residue number system (RNS). We derive a simple reverse conversion algorithm for the proposed moduli set by using Chinese Remainder Theorem (CRT). The resulting converter architecture mainly consists of simple adders which are suitable to realize an efficient VLSI implementation. Based on TSMC 0.13um CMOS technology, the proposed reverse converter demonstrates its superiority in terms of area, delay and power over the converter design for the 4-moduli set (2 n , 2 n -1, 2 n +1, 2 2n +1) under the various dynamic range (DR) requirements. Finally, the chip area, the clock rate and the power consumption of the proposed 32-bit reverse RNS converter are 1227x1227um 2 , 105MHz and 1.3mW respectively.
[1] This study examines a new hybrid three-dimensional computational solution for groundwater solute transport in a layered aquifer. In this study, the horizontal length scale of the computational domain, referring to the nature geometry, is assumed much larger than the vertical length scale. Thus the computation of solute transportation in the horizontal direction is more complex than the computation in the vertical direction. Using the Dupuit-Forchheimer approximation of groundwater flow as a reference, this study employs the vertical/horizontal splitting (VHS) concept to divide the three-dimensional solute transport equations into depth averaged (two-dimensional) and vertical variation (one-dimensional) equations. The two-dimensional equations are processed via the socalled finite analytic method, while the one-dimensional equations are solved analytically. The three-dimensional solute transport is effectively reduced to a hybrid three-dimensional model by combining the two-dimensional computations and the one-dimensional analytical solutions. The resultant hybrid three-dimensional method is capable of large computational time steps and large spatial grids and is thus suitable for simulating solute transport in large-scale sites of layered aquifers with negligible spatial variation of both thickness and hydraulic properties within each layer, where traditional numerical schemes fall short of satisfying the requirements of both accuracy and efficiency. Nevertheless, the use of this method is necessarily restricted when (1) the site is extremely heterogeneous and thus cannot be treated as layers or (2)
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