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. ...

let $g$ be a $p$-group of nilpotency class $k$ with finite exponent $exp(g)$ and let $m=lfloorlog_pk floor$. we show that $exp(m^{(c)}(g))$ divides $exp(g)p^{m(k-1)}$, for all $cgeq1$, where $m^{(c)}(g)$ denotes the c-nilpotent multiplier of $g$. this implies that $exp( m(g))$ divides $exp(g)$, for all finite $p$-groups of class at most $p-1$. moreover, we show that our result is an improvement...

This paper presents a high speed binary floating point multiplier based on Hybrid Method. To improve speed multiplication of mantissa is done using Hybrid method replacing existing multipliers like Carry Save Multiplier, Dadda Multiplier and Modified Booth Multiplier. Hybrid method is a combination of Dadda Multiplier and Modified Radix-8 Booth Multiplier. The design achieves high speed with ma...

In this paper we proposed a three stage pipelined finite-impulse response (FIR) filter, this FIR filter contains multipliers such as Hybrid multiplier, Booth multiplier algorithm and Array multiplier. In general, multiplication process consists of two parts as multiplicand and multiplier. According to the array multiplier, the numbers of partial products (PP) are equal to the number of bits in ...

Multipliers of reproducing kernel Hilbert spaces can be characterized in terms positivity $n \times n$ matrices analogous to the classical Pick matrix. We study for which it suffices consider bounded size $n$. connect this problem notion subhomogeneity non-selfadjoint operator algebras. Our main results show that multiplier algebras many analytic functions, such as Dirichlet space and Drury-Arv...

An efficient Lookup Table (LUT) design for memory-based multiplier is proposed.  This multiplier can be preferred in DSP computation where one of the inputs, which is filter coefficient to the multiplier, is fixed. In this design, all possible product terms of input multiplicand with the fixed coefficient are stored directly in memory. In contrast to an earlier proposition Odd Multiple Storage ...

Adders and multipliers are two main units of the computer arithmetic processors and play an important role in reversible computations. The binary multiplier consists of two main parts, the partial products generation circuit (PPGC) and the reversible parallel adders (RPA). This paper introduces a novel reversible 4×4 multiplier circuit that is based on an advanced PPGC with Peres gates only. Ag...