Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on g-fusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In part...

Finite tight frames have many applications and some interesting physical interpretations. One of the important subjects in this area is the ways for constructing such frames. In this article we give a concrete method for constructing finite normalized frames using Platonic solids.

In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

A 4x4 bit multiplier is demonstrated based on the Chinese abacus. As comparing the simulation result of this work with the speed and power consumption of the 4x4 bits Braun array multiplier, the delays of the 4-bit abacus multiplier are 19.7% and 10.6% less than that of Braun array multiplier with 0.35μm and 0.18μm technologies, respectively. Meanwhile, the power consumption of the 4-bit abacus...

A 4x4 and 8x8 bit multiplier is demonstrated based on the Chinese abacus. As comparing the simulation result of this work with the speed of the 4x4 and 8x8 bits Braun array multiplier, the delays of the 8-bit abacus multiplier are 14% and 7.5% less than that of Braun array multiplier with 0.35μm and 0.18μm technologies, respectively. Meanwhile, the power consumption of the 8-bit abacus multipli...

Two’s complement multipliers are important for a wide range of applications. Paper describes a technique to reduce by one row the maximum height of the partial product array generated by Radix-4 Booth’s multiplier, without any increase in the delay of the partial product generation stage. The design of 8 bit and 16 bit multiplication scheme using different types of multiplier like Array multipl...

algebraic frames are generalizations of fourier transforms on locally compact abelian groups in the sense that the family of vectors forming the frame are replaced by a family of unbounded linear functionals. the paper studies the indexing measure space of the algebraic frames; as the investigation narrows down to the class of lower semiframes, more relations are revealed between the discret...

Multiplier is one of the essential element for all digital systems such as digital signal processors, microprocessors etc. In this paper, a new high speed multiplier using booth recoding technique is presented. This algorithm can be implemented by using the radix-8 booth recoding process. The proposed multiplier reduces the partial product array by almost 3/4 th the size of the bits. This reduc...

in this paper, efforts are made to compare the safety of steel moment resistant frames designed according to different editions of the iranian code of practice for seismic resistant design of buildings. also, failure risk of a low and medium height frame which designed for high and low seismicity regions according to three editions of the code are evaluated. first, the testing cases were design...

In rigid plastic analysis one of the most widely applicable methods that is based on the minimum principle, is the combination of elementary mechanisms which uses the upper bound theorem. In this method a mechanism is searched which corresponds to the smallest load factor. Mathematical programming can be used to optimize this search process for simple fra...