## Linear Time-Invariant SystemsA new and practical approach to understanding system theory The modern development of engineering and science requires a deep understanding of the basic concepts of system theory. Approaching the subject from a system, rather than an application-oriented perspective, world-renowned system expert Martin Schetzen provides practicing engineers and scientists, as well as students, with a solid, clearly explained foundation in the fundamentals of linear time-invariant (continuous) system theory. Developing linear systems from a functional viewpoint, the book is noteworthy for its presentation of: Taking an original, highly useful approach to system theory, Linear Time-Invariant Systems lays a solid foundation for further study of system modeling, control theory, filter theory, discrete system theory, state-variable theory, and other subjects requiring a system viewpoint. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley Makerting Department. |

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### Contents

Linear TimeInvariant LTI Systems | 33 |

Properties of LTI Systems | 63 |

The Frequency Domain Viewpoint | 105 |

Copyright | |

8 other sections not shown

### Common terms and phrases

accordance with Eq algebraic all-pass system amplitude approximation axis bandpass bandwidth BIBO-stable bilateral Laplace transform block diagram Butterworth filter causal LTI system causal system complex numbers consider convolution integral Determine the system discussed in Section equal example expression F(jco feedback system finite Fourier transform gain curve given by Eq given system goes to zero graph H(jco ha(t hb(t illustrate impulse response input x(t integral in Eq inverse Laplace transform J—oo left half linear system low-pass filter Lx function mapping Note observe obtain odd function partial fraction expansion phase shift phasor physical system plane poles and zeros polynomial pulse rational function real function real number result roots Routh-Hurwitz criterion s-plane shown in Fig sinusoid stable LTI system system function system gain system input system is causal system output system theory tandem connection time-invariant transfer function unit-impulse response vector voltage waveform