Classical Circuit Theory

Classical circuit theory is a mathematical theory of linear, passive circuits, namely, circuits composed of resistors, capacitors and inductors. Like many a thing classical, it is old and enduring, structured and precise, simple and elegant. It is simple in that everything in it can be deduced from ?rst principles based on a few physical laws. It is enduring in that the things we can say about linear, passive circuits are universally true, unchanging. No matter how complex a circuit may be, as long as it consists of these three kinds of elements, its behavior must be as prescribed by the theory. The theory tells us what circuits can and cannot do. As expected of any good theory, classical circuit theory is also useful. Its ulti mate application is circuit design. The theory leads us to a design methodology that is systematic and precise. It is based on just two fundamental theorems: that the impedance function of a linear, passive circuit is a positive real function, and that the transfer function is a bounded real function, of a complex variable.

Covers the mathematical foundations of passive circuits and passive filter design. Designed for use as a one semester course. Contains end of chapter problems. Allows for instructor flexibility depending on the focus of the course with inclusion of various chapters. Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material

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Classical Circuit Theory provides readers with the fundamental, analytic properties of linear circuits that are important to the design of conventional and non-conventional circuits in modern communication systems. These properties include the relations between phase and gain, between the real and imaginary parts, and between phase and group delay. They also include the fundamental limitations on gain and bandwidth, which are important in broadband matching in amplifier design. The idea that an impedance function is a positive real function and that a transfer function is bounded-real, forms the basis for analytic design of all conventional filters. At the same time, mathematical programming tools are now widely available so that design of non-conventional circuits by optimization is but a few mouse clicks away.

Every new concept within the material is illustrated with one or more examples. There are exercises and problems at the end of the chapters. Some may be suitable for term projects. The design techniques presented are also illustrated step by step with easy-to-follow examples.

Contenu
Fundamentals.- Circuit Dynamics.- Properties in the Frequency Domain.- The Impedance Function.- Synthesis of Two-Element-Kind Impedances.- Synthesis of RLC Impedances.- Scattering Matrix.- Synthesis of Transfer Functions.- Filter Design.- Circuit Design by Optimization.- All-Pass Circuits.