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...

2 Methods 2 2.1 Lagrange Multiplier Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Pegging Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Interior-Point Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3.1 Optimality Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3.2 Interior-Point Algorithm ....

An algorithm that builds a multiplier under the constraint of a limited number of wiring tracks is designed. The algorithm has been implemented. The program is then used to compare several designs of an IEEE oating point multiplier using several delay models.

The multiplier theory is still an important analytical tool in many macroeconomic textbooks. For example, a number of textbook authors use the theory to explain the process of growth in goods market by expanding the multiplier process into a geometric series, and thus obtain the route of economic growth. Then some students raise an interesting question: Can we induce the dynamics of the monetar...

This investigation proposes the novel radix4 and radix-4 algorithms with the low computational complexities of the radix-16 and radix-64 algorithms but the lower hardware requirement of the radix-4 algorithm. Base on the serial delay feedback path pipeline architecture, the proposed design adopts a multiplierless radix-4 butterfly structure to support 4096-point FFT/IFFT computations. Moreover,...

This paper proposes a method for area efficient fractional fixed point(Q-format) multiplier based on Urdhava Tiryakbhyam of vedic mathematics. Even though conventional or normal Urdhava multipliers carries high speed mathematical operations, they consume more chip area. Hence we proposed a pipelined multiplier architecture in this paper which consumes less chip area. The pipelined multiplier ar...

We introduce a generalized method for constructing sub-quadratic complexity multipliers for even characteristic field extensions. The construction is obtained by recursively extending short convolution algorithms and nesting them. To obtain the short convolution algorithms the Winograd short convolution algorithm is reintroduced and analyzed in the context of polynomial multiplication. We prese...

In nonlinear programming, the strong second-order optimality condition and the linearly independent gradient condition have many uses. In particular, the first guarantees that a point is an isolated locally optimal solution, while the second insures the uniqueness of the associated multiplier vector, but other, less stringent assumptions would already be enough for that. In fact, the combinatio...

This paper discusses a method of stabilizing Lagrange multiplier fields used to couple thin immersed shell structures and surrounding fluids. The method retains essential conservation properties by stabilizing only the portion of the constraint orthogonal to a coarse multiplier space. This stabilization can easily be applied within iterative methods or semi-implicit time integrators that avoid ...

This paper focuses on designing elliptic curve crypto-accelerators in GF (2m) that are cryptographically scalable and hold some degree of reconfigurability. Previous work in elliptic curve crypto-accelerators focused on implementations using projective coordinate systems for specific field sizes. Their performance, scalar point multiplication per second (kP/s), was determined primarily by the u...