VLSI module for high-performance multiply, square root and divide

A high-performance VLSI architecture to perform multiply-accumulate, division and square root operations is proposed. The circuit is highly regular, requires only minimal control and can be pipelined right down to the bit level. The system can also be reconfigured on every cycle to perform any one of these operations. The gate count per row has been estimated at (27n+70) gate equivalents where n is the divisor wordlength. The throughput rate, which equals the clock speed, is the same for each operation and is independent of the wordlength. This is achieved through the combination of pipelining and redundant arithmetic. With a 1.0 µm CMOS technology and extensive pipelining, throughput rates in excess of 70 million operations per second are expected.

Fast VLSI algorithms for division and square root

Real time digital signal processing demands high performance implementations of division and square root. This can only be achieved by the design of fast and efficient arithmetic algorithms which address practical VLSI architectural design issues. In this paper, new algorithms for division and square root are described. The new schemes are based on pre-scaling the operands and modifying the classical SRT method such that the result digits and the remainders are computed concurrently and the computations in adjacent rows are overlapped. Consequently, their performance exceeds that of the SRT methods. The hardware cost for higher radices is considerably more than that of the SRT methods but for many applications, this is not prohibitive. A system of equations is presented which enables both an analysis of the method for any radix and the parameters of implementations to be easily determined. This is illustrated for the case of radix 2 and radix 4. In addition, a highly regular array architecture combining the division and square root method is described. © 1994 Kluwer Academic Publishers.

New algorithms and VLSI architectures for SRT division and square root

In real time digital signal processing, high performance modules for division and square root are essential if many powerful algorithms are to be implemented. In this paper, a new radix 2 algorithms for SRT division and square root are developed. For these new schemes, the result digits and the residuals are computed concurrently and the computations in adjacent rows are overlapped. Consequently, their performance should exceed that of the radix 2 SRT methods. VLSI array architectures to implement the new division and square root schemes are also presented.

Ultrafast nonlinearities of minibands in metallodielectric Bragg resonators

The nonlinear properties of metallodielectric DBRs are investigated via optical pump-probe techniques using a widely tunable, dual-colour, high-repetition rate, ultrafast setup. As a consequence of the Bragg-arranged multilayers, the electric field penetrates to different depths of the nanostructure at different excitation resonances, strongly enhancing the intrinsic nonlinear response of the metal in comparison with bulk films. The analyzed spectral response of these structures reveals how their nonlinear behavior is dominated by the pump-induced modification of the metal dielectric function. Fitting the simulated changes of the optical resonances using transfer-matrix methods matches experiment well, and shows the key effects of the spectral dependence of the spatial mode profiles.

Small aperture evanescent-mode waveguide antenna matched using distributed coupled resonators

Presented is a design methodology which permits the application of distributed coupled resonator bandpass filter principles to form wideband small-aperture evanescent-mode waveguide antenna designs. This approach permits matching of the complex antenna aperture admittance of an evanescent-mode open-ended waveguide to a real impedance generator, and thereby to a coaxial feed probe. A simulated reflection coefficient of < - 10 dB was obtained over a bandwidth of 20%, from 2.0-2.45 GHz, in a 2.58 GHz cutoff waveguide. Dielectric-filled propagating waveguide and air-filled evanescent-mode waveguide sections are used to form the resonators/coupling elements of the antenna's coupled resonator matching sections. Simulated realised gain variation from 3.4-5.0 dBi is observed across the bandwidth. The antenna's maximum aperture dimension is < 0.47 wavelength at the upper operating frequency and so it is suitable for use in a wide angle scanning phased array.

Artificial surfaces of intertwined square spirals:A CPW model

Intertwining planar spirals arranged in doubly periodic arrays enables a substantially subwavelength response of the unit cell smaller than 1/40 of wavelength with large fractional bandwidths. These properties are important for application at low frequencies, conformal curved surfaces, or with compact radiators. It is shown that interleaving counter-wound spiral arms extended into adjacent unit cells dramatically increase the array equivalent capacitance while reducing the inductance. A coplanar waveguide (CPW) model has been developed to analytically estimate the equivalent capacitance and inductance of intertwined spiral array elements in terms of their geometrical parameters. The proposed CPW model is shown to provide an accurate prediction of the fundamental resonance frequency and can be instrumental in the design of the arrays for a specified frequency response. © 2012 IEEE.

Natural convection experiments on a heated horizontal cylinder in a differentially heated square cavity

Natural convection heat transfer from a heat generating horizontal cylinder enclosed in a square cavity, where a temperature difference exists across its vertical walls has been experimentally investigated for the range 2×104

Flowfield analysis of a linear clustered plug nozzle with round-to-square modules

The plug nozzle is one of the advanced expansion devices proposed to improve the overall performance of launcher liquid rocket engines. The present work investigates the three-dimensional flow field generated on this kind of nozzle by partitioning the primary nozzle into modules. A linear plug nozzle has been designed together with modules having two different geometries: a rectangular cross section and round-to-square module. Numerical simulations have been carried out considering the case where all modules of the primary nozzle are active and the case where one module is turned off. The solutions are compared and specific three-dimensional flow structures taking place inside the modules and on the plug are identified. The relationship between these structures and the skin friction distribution within the module and along the plug surface is investigated. Finally, the effect on performance of these three-dimensional flow features is emphasized. © 2006 Elsevier Masson SAS. All rights reserved.

Faith-based Non-Governmental Organizations in the Public Square

This chapter has both a methodological and a substantive aim. First, I suggest, using the role and function of NGOs in religiously related legal disputes as a paradigm example, the distinction between institutional, doctrinal, and theoretical approaches to the study of the relationship between religion and law is sometimes unhelpful, creating a barrier preventing us from understanding the phenomenon that we are examining. Instead, I suggest, a more integrated understanding, drawing on each of these approaches and seeing how they relate to each other, may well be more illuminating. The second aim of this chapter is to suggest, in a preliminary way, that the phenomenon of faith-based organizations should be more integrated than in the past into doctrinal and theoretical debates in the area of law and religion, in particular the problem of how liberal society is to engage with organized religion where there is a fundamental dispute as to who represents that religion, or as to what the basic tenets of that religion are.

Optically reconfigurable E-plane waveguide resonators and filters

This paper presents an optically reconfigurable E-plane waveguide resonator and filter. N-type silicon dice doped with phosphorus is used as the switching element and is connected to the edge of a metallic fin. Illumination of the silicon dice allows realization of a different length of the fin, thus creating a shift in resonant frequency of the structure. Frequency tuning range up to about 5.2% is achieved for the resonator as well as the filter. Measurements on a fabricated optically reconfigurable resonator confirm the accuracy of the design procedure. Measured responses show good agreement with simulation.