Theorems of compensation and Tellegen in non‐sinusoidal circuits via geometric algebra
نویسندگان
چکیده
منابع مشابه
Geometric incidence theorems via Fourier analysis
We show that every non-trivial Sobolev bound for generalized Radon transforms which average functions over families of curves and surfaces yields an incidence theorem for suitably regular discrete sets of points and curves or surfaces in Euclidean space. This mechanism allows us to deduce geometric results not readily accessible by combinatorial methods.
متن کاملBraiding via Geometric Lie Algebra Actions
We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra. The same proof shows that strong categorical actions in the sense of Khovanov-Lauda and Rouquier also lead to braid group actions. As an example, we construct an action of Artin’s...
متن کاملDigital Algebra and Circuits
Digital numbers D are the world’s most popular data representation: nearly all texts, sounds and images are coded somewhere in time and space by binary sequences. The mathematical construction of the fixed-point D ' Z2 and floating-point D′ ' Q2 digital numbers is a dual to the classical constructions of the real numbers R. The domain D′ contains the binary integers N and Z, as well as Q. The a...
متن کاملExtensors in Geometric Algebra
This paper, the third in a series of three introduces the basics of the theory of extensors that are need for the a theory of multvector and extensor fields in arbitrary manifolds, developed in a following series of five papers. Key notions such as the extension and generalization operators of a given linear operator (a (1, 1)-extensor) acting on a real vector space V are introduced and studied...
متن کاملOptimization of Phase-Locked Loop Circuits via Geometric Programming
We describe the global optimization of phaselocked loop (PLL) circuits using geometric programming (GP). Equations for the jitter, frequency range, and power of the PLL are presented in GP form. An array of PLL circuits was automatically generated using this technique in a , CMOS process. Silicon measurements show good agreement with the model. The results include a PLL with a period jitter of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Engineering
سال: 2019
ISSN: 2051-3305,2051-3305
DOI: 10.1049/joe.2019.0048