This paper describes the pipeline architecture of high-speed modified Booth multipliers. The proposed multiplier circuits are based on the modified Booth algorithm and the pipeline technique which are the most widely used to accelerate the multiplication speed. In order to implement the optimally pipelined multipliers, many kinds of experiments have been conducted. The speed of the multipliers ...

Abstract: Power-awareness indicates the scalability of the system energy with changing conditions and quality requirements. Although Boolean multipliers have natural power awareness to the changing of input precision, deeply pipelined designs do not have this benefit. A 2-dimensional pipeline gating scheme is proposed in this paper to improve the power awareness in these designs. This technique...

This paper presents the implementation of a general purpose, scalable architecture used to synthesize floating point multipliers on FPGAs. Although several implementations of floating point units targeted to FPGAs have been previously reported, most of them are customized for specific applications. This new implementation is different in the sense that it accepts as a user parameter the operand...

In recent days filters with large lengths are started to use. So parallel processing is essential at any cost.In this paper proposes new parallel FIR filter structures, which are beneficial to symmetric coefficients in terms of the hardware cost, under the condition that the number of taps is a multiple of 2 or 3. The proposed parallel FIR structures use symmetric property to reducing half the ...

We continue the study of multidimensional operator multipliers initiated in [12]. We introduce the notion of the symbol of an operator multiplier. We characterise completely compact operator multipliers in terms of their symbol as well as in terms of approximation by finite rank multipliers. We give sufficient conditions for the sets of compact and completely compact multipliers to coincide and...

Using state-dependent local projection methods and historical U.S. data, we find that government spending multipliers are considerably larger in periods of private debt overhang. In particular, we find significant crowding-out of personal consumption and investment in low private debt states, resulting in multipliers that are below one. Conversely, in periods of private debt overhang, there is ...

Abstract Active noise control (ANC) is a method to eliminate noise in many applications such as industries, automobiles, home appliances, etc. The system mainly consists of an adaptive filter section and is implemented using a series of adders and multipliers. In this work, several adders and multipliers are compared and the optimized ones are chosen for speed and area efficiency. In the propos...

Lagrange multipliers offer a way to find the extrema of an objective function f(x1, x2, . . . , xn) subject to a constraint function g(x1, x2, . . . , xn) = 0; for example, we may wish to maximize a+ b+ c subject to a2 + b2 + c2 = 1. However, there are lots of tiny details that need to be checked in order to completely solve a problem with Lagrange multipliers. On an olympiad the use of Lagrang...

An important inequality due to Wolff on plate decompositions of cone multipliers is known to have consequences for sharp L results on cone multipliers, local smoothing for the wave equation, convolutions with radial kernels, Bergman projections in tubes over cones, averages over finite type curves in R and associated maximal functions. We observe that the range of p in Wolff’s inequality, for t...

Truncated multiplication can be used to significantly reduce power dissipation for applications that do not require correctly rounded results. This paper presents a power efficient method for designing floating point multipliers that can perform either correctly rounded IEEE compliant multiplication or truncated multiplication, based on an input control signal. Compared to conventional IEEE flo...