High-speed parallel multipliers are one of the keys in RISCs (Reduced Instruction Set Computers), DSPs (Digital Signal Processors), and graphics accelerators and so on. Array multiplier, Booth Multiplier and Wallace Tree multipliers are some of the standard approaches used in implementation of binary multiplier which are suitable for VLSI implementation. A simple digital multiplier (henceforth ...

In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.

This paper presents low power 8x8 bit multipliers which are implemented with Tanner Tool v13.0 at 500MHz frequency with 65nm technology which is having a supply voltage 1.0v. There are different CMOS multiplier circuits are analyzed names as Braun multiplier, Wallace tree multiplier, Row bypass Braun multiplier, Column bypass Braun multiplier, Row and Column bypass Braun multiplier and these mu...

The Wallace Multiplier is mainly used in the Arithmetic & Logic Unit (ALU) to perform the scientific computation in processors, controller etc... The existing multiplication technique like booth multiplier, array multiplier etc requires more time in multiplications. Hence Wallace Multiplier has been designed by using the parallel process to reduce the delay. The regular Wallace Multiplier requi...

In this paper a low power and low area array multiplier with carry save adder is proposed. The proposed adder eliminates the final addition stage of the multiplier than the conventional parallel array multiplier. The conventional and proposed multiplier both are synthesized with 16-T full adder. Among Transmission Gate, Transmission Function Adder, 14-T, 16-T full adder shows energy efficiency....

The Multiplier Hopf Group Coalgebra was introduced by Hegazi in 2002 [] as a generalization of Hope group caolgebra, introduced by Turaev in 2000 [], in the non-unital case. We prove that the concepts introduced by A.Van Daele in constructing multiplier Hopf algebra [3] can be adapted to serve again in our construction. A multiplier Hopf group coalgebra is a family of algebras A = {A α } α∈π , ...

In this paper, we propose a pipeline scheme for efficient realization of a complex multiplier using distributed arithmetic. The pipelined multiplier consists of one conventional multiplier that is multiplexed and some small additional circuitry on the boundary. The proposed scheme reduces the chip area as well as the interconnections by nearly half compared to a conventional complex multiplier....

Processor speed largely governed by the multiplier architectures. It is desired to have faster ALU with lower power consumption for portable applications to have good battery life. Hence, there is need to address different multiplier architectures. In this paper, the analysis of 4-bit multiplier using a Vedic Mathematics (Urdhva Tiryagbhyam sutra) and conventional multiplier with two different ...

in this paper, we first discuss about canonical dual of g-frameλp = {λip ∈ b(h, hi) : i ∈ i}, where λ = {λi ∈ b(h, hi) :i ∈ i} is a g-frame for a hilbert space h and p is the orthogonalprojection from h onto a closed subspace m. next, we provethat, if λ = {λi ∈ b(h, hi) : i ∈ i} and θ = {θi ∈ b(k, hi) :i ∈ i} be respective g-frames for non zero hilbert spaces hand k, and λ and θ are unitarily e...

This paper establishes two new connections between the familiar function ring functor ${mathfrak R}$ on the category ${bf CRFrm}$ of completely regular frames and the category {bf CR}${mathbf sigma}${bf Frm} of completely regular $sigma$-frames as well as their counterparts for the analogous functor ${mathfrak Z}$ on the category {bf ODFrm} of 0-dimensional frames, given by the integer-valued f...