KEYWORDS: Monte Carlo methods, Computer simulations, Error analysis, Very large scale integration, Statistical analysis, Device simulation, Oxides, Error control coding, Capacitance, Integrated circuits
In this article, an explicit formula is derived for determining appropriate number of simulation
runs to estimate the parametric yield or violation probability of VLSI circuits. The formula involves
no approximation and thus offers a rigorous control of the statistical error of estimation. Moreover,
the formula is substantially less conservative than existing methods and hence can be used to avoid
unnecessary computation. The application of the formula is illustrated by the timing analysis of an
n-input NAND gate with a capacitive load.
In this paper, one cost function for setting optimal geometries of multiple sensors' locations is proposed, and related
theorems for optimal geometries of multiple sensors' locations are obtained. In order to keep the sensors in optimal
deployment for moving target, a self-adjusting method is figured out, and an AOA based optimal sensors' locations
self-adjusting and moving target's location estimation algorithms are developed. In order to check the efficiency of the
new algorithms, some simulation results are also provided.
One category of Space-Time codes are constellations of unitary matrix in parametric form. Optimization
is essential for seeking parameters of constellation with the largest diversity product. In this
research, we demonstrate that diversity product is not a good measure of constellation quality as widely
adopted in communication community. Moreover, we show that good codes may not need to have full
diversity. We propose better criteria for measuring the quality of constellations, which are also very
amenable for optimization and particularly suitable for the gradient search method. Furthermore, we
propose a new approach for signal constellation design. Instead of ambiguously discriminating low and
high SNR, our techniques target the range of block error rate which is acceptable and not extremely
small. Although the computational complexity of code designing can be formidable, we have developed
techniques which significantly improve the efficiency. We obtain space-time codes which significantly
outperform existing ones.
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