This project presents two original implementations of improved accuracy current-mode multiplier and divider circuits. Besides the advantage of their simplicity, these original multiplier and divider structures present the advantage of very small linearity errors that can be obtained as a result of the proposed design techniques (0.9% and 0.75%, respectively, for an extended range of the input c...

The statistical properties of the multipliers of the absolute returns are investigated using one-minute high-frequency data of financial time series. The multiplier distribution is found to be independent of the box size s when s is larger than some crossover scale, providing direct evidence of the existence of scale invariance in financial data. The multipliers with base a = 2 are well approxi...

This paper considers a robust control synthesis problem for uncertain linear systems to meet design specifications given in terms of multiple frequency domain inequalities in (semi)finite ranges. In this paper, we restrict our attention to static (gain feedback) controllers. We will develop a new multiplier method that allows for reduction of synthesis conditions to linear matrix inequality pro...

I show that 1) the policy-relevant “global multiplier” can be written as the sum of a spending component and a taxation component, all scaled up by spillover effects, 2) the “local multiplier” is exactly the spending component, and 3) if trade is anonymous, the local effects of a shock to federal government purchases in a county will be identical to the effects of a shock to consumer demand for...

A new Quasi-Static Energy Recovery Logic family (QSERL) using the principle of adiabatic switching is proposed in this paper. Most of the previously proposed adiabatic logic are dynamic and require complex clocking schemes. The proposed Quasi-Static energy recovery logic uses two complementary sinusoidal supply clocks and resembles behaviors of static CMOS. Thus, switching activity is signiican...

Abstract. Starting from a general operator representation in the time-frequency domain, this paper addresses the problem of approximating linear operators by operators that are diagonal or band-diagonal with respect to Gabor frames. A characterization of operators that can be realized as Gabor multipliers is given and necessary conditions for the existence of (Hilbert-Schmidt) optimal Gabor mul...

Starting from a general operator representation in the time-frequency domain, this paper addresses the problem of approximating linear operators by operators that are diagonal or band-diagonal with respect to Gabor frames. A characterization of operators that can be realized as Gabor multipliers is given and necessary conditions for the existence of (Hilbert-Schmidt) optimal Gabor multiplier ap...

Recent computing-oriented FPGAs feature DSP blocks including small embedded multipliers. A large integer multiplier, for instance for a double-precision floatingpoint multiplier, consumes many of these DSP blocks. This article studies three non-standard implementation techniques of large multipliers: the Karatsuba-Ofman algorithm, non-standard multiplier tiling, and specialized squarers. They a...

Multiplication is a basic operation in any signal processing application. Multiplication is the most important one among the four arithmetic operations like addition, subtraction, and division. Multipliers are usually hardware intensive, and the main parameters of concern are high speed, low cost, and less VLSI area. The propagation time and power consumption in the multiplier are always high. ...