Linear Networks and Systems: Fourier analysis and state equations
This two-volume introductory text on modern network and system theory establishes a firm analytic foundation for the analysis, design and optimization of a wide variety of passive and active circuits. Volume 1 is devoted to the fundamentals and Volume 2 to Fourier analysis and state equations. Its prerequisites are basic calculus, dc and ac networks, matrix algebra, and some familiarity with linear differential equations. The objective of the book is to select and feature theories and concepts of fundamental importance that are amendable to a broad range of applications. A special feature of the book is that it bridges the gap between theory and practice, with abundant examples showing how theory solves problems. Recognizing that computers are common tools in modern engineering, canned computer programs are developed throughout the text, both in the time domain and the frequency domain. In addition to the usual materials in a linear networks and systems book, advanced topics on functions of a matrix that are closely related to the solution of the state equation are included. The reader will find the study of this material rewarding.
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03 DEGREES PHASE associated directed graph bilateral convolution branch voltages capacitor Chapter coefficient matrix complete response complete solution compute convolution integral convolution theorem corresponding current source cutset matrix defined depicted in Figure determine differential equation DOUBLE PRECISION edge Electrical Networks element equivalent network f-circuits f-cutset feedback amplifier frequency given graph G graph of Figure impedance impulse response incidence matrix inductor initial conditions integrodifferential equations inverse Laplace transform linearly independent loop currents loop equations magnitude and phase MAGNITUDE OMEGA network equations network function network of Figure nodal analysis nodal equations nodal voltages node obtained output partial-fraction expansion particular integral planar graph plot poles presented in Figure Property rational function rectangular pulse Repeat Problem resistor resulting shown in Figure subroutine system of equations transform network tree two-port network unit impulse unit step values variables vector voltage source y-parameters zero zero-input response zero-state response