Real-time analog multiplication of two signals is one of the most important operations in analog signal processing. The multiplier is used not only as a computational building block but also as a programming element in systems such as filters, neural networks, and as mixers and modulators in a communication system. Although high performance bipolar junction transistor multipliers have been avai...

In the context of MultiCriteria Decision Aid, we present new properties of a 2-additive bi-capacity by using a bipolar Möbius transform. We use these properties in the identification of a 2-additive bi-capacity when we represent a cardinal information by a Choquet integral with respect to a 2-additive bi-capacity.

We consider straight-line drawings of trees on a hexagonal grid. The hexagonal grid is an extension of the common grid with inner nodes of degree six. We restrict the number of directions used for the edges from each node to its children from one to five, and to five patterns: straight, Y , ψ, X, and full. The ψ–drawings generalize hvor strictly upward drawings to ternary trees. We show that co...

It is known that under certain conditions the incidence matrix of a balanced incomplete block design (v, b, r, k, λ) gives a binary code of length b and size 2(v + 1). Here we investigate the conditions where a balanced ternary design gives a similar ternary code.

In this paper, a new MBE (modified Booth encoding) recoder, and a new MBE decoder are proposed in CMOS transistor level to improve the performance of traditional multipliers. The proposed pipelined Booth multiplier can reduce the delay time of the critical path by levelizing the complex gate in the MBE decoder. As a result, MBE decoder is no more the speed bottleneck of a pipelined booth multip...

Digital signal processor, image signal processor and FIR filters have multipliers as an important part of their design. On the basis of Vedic mathematics, Vedic multipliers have come out to be very fast multipliers. One of the image processing applications is edge detection. This research presents a small area and high speed 8 bit Vedic multiplier system comprising of compressor based adders. T...

We introduce a new implementation of a three-input multiplier. This multiplier is capable of accepting three binary inputs, and producing the product, a*b*c. Although this implementation requires more space, it reduces the number of clock cycles required to multiply three numbers. In this paper, we present the front end 4-bit partial product array that can be incorporated into a typical multipl...

In this paper, we consider various extension problems associated with elements in the the closure with respect to either the multiplier norm or the completely bounded multiplier norm of the Fourier algebra of a locally compact group. In particular, we show that it is not always possible to extend an element in the closure with respect to the multiplier norm of the Fourier algebra of the free gr...

In this paper, we show that for a large class of optimization problems, the Lagrange multiplier rule can be derived from the so-called approximate multiplier rule. In establishing the link between the approximate and the exact multiplier rule we first derive an approximate multiplier rule for a very general class of optimization problems using the approximate sum rule and the chain rule. We als...

In digital image processing applications the quality of image depend on the Multipliers. Existing multipliers introduce errors in the output which will require more time, hence error free high speed multipliers has to be designed to overcome this problem. This paper presents a FPGA based iterative Mitchell Algorithm based multiplier for image filters by introducing error correction term in Kara...