Noise is ubiquitous in nature and in man-made systems. Noise in oscillators perturbs high-technology devices such as time standards or digital communication systems. The understanding of its algebraic structure is thus of vital importance. The book addresses both the measurement methods and the understanding of quantum, 1/f and phase noise in systems such as electronic amplifiers, oscillators and receivers, trapped ions, cosmic ray showers and in commercial applications. A strong link between 1/f noise and number theory is emphasized. The twenty papers in the book are comprehensive versions of talks presented at a school in Chapelle des Bois (Jura, France) held from April 6 to 10, 1999, by engineers, physisicts and mathematicians.
The International Conference on Noise in Physical Systems and 1/f Fluctuations brings together physicists and engineers interested in all aspects of noise and fluctuations in materials, devices, circuits, and physical and biological systems. The experimental research on novel devices and systems and the theoretical studies included in this volume provide the reader with a comprehensive, in-depth treatment of present noise research activities worldwide. Contents: Noise in Nanoscale Devices (S Bandyopadhyay et al.); 1/f Voltage Noise Induced by Magnetic Flux Flow in Granular Superconductors (O V Gerashchenko); Low Frequency Noise Analysis of Different Types of Polysilicon Resistors (A Penarier et al.); Low Frequency Noise in CMOS Transistors: An Experimental and Comparative Study on Different Technologies (P Fantini et al.); Modeling of Current Transport and 1/f Noise in GaN Based HBTs (H Unlu); Low Frequency Noise in CdSe Thin Film Transistors (M J Deen & S Rumyanstsev); NIST Program on Relative Intensity Noise Standards for Optical Fiber Sources Near 1550 nm (G Obarski); Physical Model of the Current Noise Spectral Density Versus Dark Current in CdTe Detectors (A Imad et al.); Time and Frequency Study of RTS in Bipolar Transistors (A Penarier et al.); Neural Network Based Adaptive Processing of Electrogastrogram (S Selvan); Shot Noise as a Test of Entanglement and Nonlocality of Electrons in Mesoscopic Systems (E V Sukhorukov et al.); The Readout of Time, Continued Fractions and 1/f Noise (M Planat & J Cresson); Longitudinal and Transverse Noise of Hot Electrons in 2DEG Channels (J Liberis et al.); 1/f Noise, Intermittency and Clustering Poisson Process (F Gruneis); Noise Modeling for PDE Based Device Simulations (F Bonani & G Ghione); Methods of Slope Estimation of Noise Power Spectral Density (J Smulko); and other papers. Readership: Researchers, academics and graduate students in electrical and electronic engineering, biophysics, nanoscience, applied physics, statistical physics and semiconductor science.
The International Conference on Noise in Physical Systems and 1/f Fluctuations brings together physicists and engineers interested in all aspects of noise and fluctuations in materials, devices, circuits, and physical and biological systems. The experimental research on novel devices and systems and the theoretical studies included in this volume provide the reader with a comprehensive, in-depth treatment of present noise research activities worldwide.
This book discusses the main issues of fabrication and design, and applications of micromachined resonant devices, including techniques commonly used for processing the output signal of resonant micro-electro-mechanical systems (MEMS). Concepts of resonance are introduced, with an overview of fabrication techniques for micromachined devices – important to understand as design options will depend on how the device will be fabricated. Also explained: excitation and signal detection methods; an analytic model of device behavior (a valuable design tool); numerical simulation techniques; issues of damping and noise for resonant MEMS; electronic interfacing; packaging issues; and numerous examples of resonant MEMS from academia and industry. - Offers numerous academic and industrial examples of resonant MEMS - Provides an analytic model of device behaviour - Explains two-port systems in detail - Devotes ample space to excitation and signal detection methods - Covers issues of damping and noise for resonant MEMS, two topics of particular importance for high-Q devices
In recent years there is a growing interest in generalized convex fu- tions and generalized monotone mappings among the researchers of - plied mathematics and other sciences. This is due to the fact that mathematical models with these functions are more suitable to describe problems of the real world than models using conventional convex and monotone functions. Generalized convexity and monotonicity are now considered as an independent branch of applied mathematics with a wide range of applications in mechanics, economics, engineering, finance and many others. The present volume contains 20 full length papers which reflect c- rent theoretical studies of generalized convexity and monotonicity, and numerous applications in optimization, variational inequalities, equil- rium problems etc. All these papers were refereed and carefully selected from invited talks and contributed talks that were presented at the 7th International Symposium on Generalized Convexity/Monotonicity held in Hanoi, Vietnam, August 27-31, 2002. This series of Symposia is or- nized by the Working Group on Generalized Convexity (WGGC) every 3 years and aims to promote and disseminate research on the field. The WGGC (http://www.genconv.org) consists of more than 300 researchers coming from 36 countries.
This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the Max-Planck Institute in Bonn, Germany in 2009. These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
This book sets out an account of the tools which Frobenius used to discover representation theory for nonabelian groups and describes its modern applications. It provides a new viewpoint from which one can examine various aspects of representation theory and areas of application, such as probability theory and harmonic analysis. For example, the focal objects of this book, group matrices, can be thought of as a generalization of the circulant matrices which are behind many important algorithms in information science. The book is designed to appeal to several audiences, primarily mathematicians working either in group representation theory or in areas of mathematics where representation theory is involved. Parts of it may be used to introduce undergraduates to representation theory by studying the appealing pattern structure of group matrices. It is also intended to attract readers who are curious about ideas close to the heart of group representation theory, which do not usually appear in modern accounts, but which offer new perspectives.
Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists a rule which generates the sequence. The concept automatic sequences has special applications in algebra, number theory, finite automata and formal languages, combinatorics on words. The text deals with different aspects of automatic sequences, in particular: · a general introduction to automatic sequences · the basic (combinatorial) properties of automatic sequences · the algebraic approach to automatic sequences · geometric objects related to automatic sequences.
