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Analog design still has, unfortunately, a flavor of art. Art can be beautiful. However, art in itself is difficult to teach to students and difficult to transfer from experienced analog designers to new trainee designers in companies. Structured Electronic Design: High-Performance Harmonic Oscillators and Bandgap References aims to systemize analog design. The use of orthogonalization of the design of the fundamental quality aspects (noise, distortion, and bandwidth) and hierarchy in the subsequent design steps, enables designers to achieve high-performance designs, in a relatively short time. As a result of the systematic design procedure, the effect of design decisions on the circuit performance is made clear. Additionally, the use of resources for reaching a specified performance is tracked. This book, therefore, describes the structured electronic design of high-performance harmonic oscillators and bandgap references. The structured design of harmonic oscillators includes the maximization of the carrier-to- noise ratio by means of tapping, i.e. an impedance adaption method for noise matching. The bandgap reference, a popular implementation of a voltage reference, is studied via the unusual concept of the linear combination of base-emitter voltages. The presented method leads to the design of high-performance references in CMOS and Bipolar technology. Using this concept, on a high level of abstraction the quality with respect to, for instance, noise and power-supply rejection can be identified. In this book, it is shown with several design examples that this method provides an excellent starting point for the design of high-performance bandgap references. Auxiliary to the harmonic-oscillator and bandgap reference design are the negative- feedback amplifiers. In this book the systematic design of the dynamic behavior is emphasized. By means of the identification of the dominant poles, it is possible to give an upper limit of the attainable bandwidth, even before the real frequency compensation is accomplished. Structured Electronic Design: High-Performance Harmonic Oscillators and Bandgap References is a valuable book for researchers and designers, as well as students in the field of analog design. It helps both the experienced and trainee designer to come to grips with the design of analog circuits. The presented method is illustrated by several well- described design examples.

Harmonic oscillators --- Design and construction --- Harmonic oscillators -- Design and construction. --- Engineering. --- Electrical engineering. --- Electronic circuits. --- Circuits and Systems. --- Electrical Engineering. --- Design and construction. --- Systems engineering. --- Computer engineering. --- Electric engineering --- Engineering --- Electron-tube circuits --- Electric circuits --- Electron tubes --- Electronics --- Linear oscillators --- Oscillators, Harmonic --- Oscillators, Linear --- Oscillators, Simple --- Simple oscillators --- Harmonic motion --- Harmonic oscillators - Design and construction

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This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.

Spectral theory (Mathematics) --- Calculus --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Harmonic oscillators. --- Linear oscillators --- Oscillators, Harmonic --- Oscillators, Linear --- Oscillators, Simple --- Simple oscillators --- Mathematics. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Partial differential equations. --- Physics. --- Partial Differential Equations. --- Global Analysis and Analysis on Manifolds. --- Theoretical, Mathematical and Computational Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Partial differential equations --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Math --- Science --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Harmonic motion --- Differential equations, partial. --- Global analysis. --- Mathematical physics. --- Physical mathematics --- Physics