Thesis (M.S.)--University of Michigan, 1958.

No description available.

CMOS active pixel sensors (APS) have shown competitive performance with charge-coupled device (CCD) and offer many advantages in cost, system power reduction and on-chip integration of VLSI electronics. Among CMOS image sensors, sensors with logarithmic pixels are particularly applicable for outdoor environment where the light intensity varies over a wide range. They are also randomly accessible in both time and space. A major drawback comes from process variations during fabrication. This gives rise to a considerable fixed pattern noise (FPN) which deteriorates the image quality. In this thesis, a technique that greatly reduces FPN using on-chip calibration is introduced. An image sensor that consists of 64x64 active pixels has been designed, fabricated and tested. Pixel pitch is 18um x 19.2um? and is fabricated in a 0.5-um? CMOS process. The proposed pixel circuit considerably reduces the FPN as predicted in theoretical analysis. The measured FPN value is 2.29% of output voltage swing and column-wise FPN is 1.49% of mean output voltage over each column.

CMOS active pixel sensors (APS) have shown competitive performance with charge-coupled device (CCD) and offer many advantages in cost, system power reduction and on-chip integration of VLSI electronics. Among CMOS image sensors, sensors with logarithmic pixels are particularly applicable for outdoor environment where the light intensity varies over a wide range. They are also randomly accessible in both time and space. A major drawback comes from process variations during fabrication. This gives rise to a considerable fixed pattern noise (FPN) which deteriorates the image quality. In this thesis, a technique that greatly reduces FPN using on-chip calibration is introduced. An image sensor that consists of 64x64 active pixels has been designed, fabricated and tested. Pixel pitch is 18um x 19.2um? and is fabricated in a 0.5-um? CMOS process. The proposed pixel circuit considerably reduces the FPN as predicted in theoretical analysis. The measured FPN value is 2.29% of output voltage swing and column-wise FPN is 1.49% of mean output voltage over each column.

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Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Fernando Rodríguez Villegas. Vita. Includes bibliographical references. Available also from UMI company.

Thesis (M.S.)--University of Michigan, 1957.

Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of R^n and the volume of this domain. The difference proves to be the integral of an explicit differential form over the boundary of the domain.

We prove in this thesis three main results, involving the distribution of values of $L'/L(\sigma,\chi_D)$,$D$ being a fundamental discriminant, and $\chi_D$ the real character attached to it. We prove two Omega theorems for $L'/L(1,\chi_D)$, compute the moments of $L'/L(1,\chi_D)$, and construct under GRH, for each $\sigma>1/2$,a density function ${\cal Q}_\sigma$ such that \[\#\{D ~~\text{fundamental discriminants, such that}~~ |D|\leq Y,~~ \text{and}~~ \alpha \leq L'/L(\sigma,\chi_D)\leq \beta \} \]\[ \sim \frac{6}{\pi^2\sqrt{2\pi}} Y \int_\alpha^\beta {\cal Q}_\sigma(x)dx . \]

We prove in this thesis three main results, involving the distribution of values of $L'/L(\sigma,\chi_D)$,$D$ being a fundamental discriminant, and $\chi_D$ the real character attached to it. We prove two Omega theorems for $L'/L(1,\chi_D)$, compute the moments of $L'/L(1,\chi_D)$, and construct under GRH, for each $\sigma>1/2$,a density function ${\cal Q}_\sigma$ such that \[\#\{D ~~\text{fundamental discriminants, such that}~~ |D|\leq Y,~~ \text{and}~~ \alpha \leq L'/L(\sigma,\chi_D)\leq \beta \} \]\[ \sim \frac{6}{\pi^2\sqrt{2\pi}} Y \int_\alpha^\beta {\cal Q}_\sigma(x)dx . \]