We observe that the range of p for Wolff’s inequality on plate decompositions of cone multipliers can be improved by using bilinear restriction techniques. This in turn is known to improve the range for sharp Lp results on cone multipliers, local smoothing for the wave equation, convolutions with radial kernels, Bergman projections in tubes over cones, averages over finite type curves in R3 and...

An optimal control problem for a semilinear heat equation with distributed is discussed, where two-sided pointwise box constraints on the and mixed control-state are given. The objective functional sum of standard quadratic tracking type part multiple L 1 -norm that accounts sparsity. Under certain structural condition almost active sets solution, existence integrable Lagrange multipliers prove...

Approximate computing is emerging as an alternative to accurate computing due to its potential for realizing digital circuits and systems with low power dissipation, less critical path delay, and less area occupancy for an acceptable trade-off in the accuracy of results. In the domain of computer arithmetic, several approximate adders and multipliers have been designed and their potential have ...

We describe how a simple way to split input operands allows for fast VLSI implementations of subquadratic GF (2)[x] Karatsuba-Ofman multipliers. The theoretical XOR gate delay of the resulting multipliers is reduced significantly. For example, it is reduced by about 33% and 25% for n = 2 and n = 3 (t > 1), respectively. To the best of our knowledge, this parameter has never been improved since ...

Presents the design of variable array multipliers using VHDL. Multipliers of various operand sizes for different target processes can be implemented using the proposed VHDL based approach. The multipliers will be testable with a constant number of test vectors irrespective of the operand word lengths. A fast test pattern generator is also developed for simulation of the multiplier designs and s...

Multipliers are frequently used in DSP, Image processing architectures and microprocessors. Fast Fourier Transform (FFT), Discrete Wavelet Transform(DWT) and auto-correlation are the few important areas where multipliers are mostly used. As switching and critical computations of a multiplier are high, compared to other datapath units of a processing architecture, design of low power, high speed...