This study presents a novel sequential Type-I optimal normal basis multiplier in GF(2) with a regular structure. The proposed multiplier has a slightly higher space complexity than the Reyhani-Masoleh-Hasan’s (RMH) multiplier, but is 27% faster than the RMH multiplier. Furthermore, the proposed multiplier is highly regular, modular, expandable and well-suited to VLSI implementation. A new norma...

In this work we will investigate how to find a matrix representation of operators on a Hilbert space H with Bessel sequences, frames and Riesz bases as an extension of the known method of matrix representation by ONBs. We will give basic definitions of the functions connecting infinite matrices defining bounded operators on l and operators onH. We will show some structural results and give some...

for a ∈ mn, the schur multiplier of a is defined as s a(x) =a ◦ x for all x ∈ mn and the spectral norm of s a can be stateas ∥s a∥ = supx,0 ∥a ∥x ◦x ∥ ∥. the other norm on s a can be definedas ∥s a∥ω = supx,0 ω(ω s( ax (x ) )) = supx,0 ωω (a (x ◦x ) ), where ω(a) standsfor the numerical radius of a. in this paper, we focus on therelation between the norm of schur multiplier of product of matric...

The accuracy of the multiplication depends on the precision of the multiplier. The variable precision floating point multiplier will have more accuracy when compared with the fixed precision multiplier. In this paper a variable precision floating point multiplier is considered. An effective BIST test pattern generator for variable precision floating point multiplier is proposed. A BIST TPG cons...

a study on the evaluating equivalent damping and response modification factors of frames equipped by pall friction dampers is presented. to do so, buildings with various stories were considered. nonlinear and linear dynamic time history analysis has been performed to evaluate equivalent damping for pall friction dampers. ground motions with various frequency characteristics scaled with iranian ...

Displacement-based methods are recognized as appropriate approaches to reach the goals of performance-based seismic design method. In the direct displacement-based seismic design method, the seismic yield displacement is applied as one of the important design parameters. In this paper, a new relation is suggested to determine the lateral displacement pattern at first yielding of eccentrically b...

In digital signal processors multipliers play a major role because, high multiplication process is carried out in hardware part in digital circuits. Array multiplier also requires less space for implementation in ICs and is an efficient way of multiplication in digital integrated circuits [3-4]. In this paper we have designed and analysed a four bit array multiplier using 45nm CMOS process. Arr...

Now a day’s multiplication and modulus takes crucial role so we are combining multiplication and modulus. A Novel multi-modulus multiplier with different widths of modulus operations. In this paper we have radix4 multi-modulus multiplier with 4bit, 32bit, 64bit and radix8 multi-modulus multiplier with 4bit, 32bit, 64bit.radix4 and radix8 multi-modulus multiplier using Residue multiplication is ...

| We present a new low-complexity bit-parallel canonical basis multiplier for the eld GF2 m generated by a n all-one-polynomial. The proposed canon-ical basis multiplier requires m 2 , 1 XOR gates and m 2 AND gates. We also extend this canonical basis multiplier to obtain a new bit-parallel normal basis multiplier.