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    David Mitchell 9781400065677

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Other titles in the Signals and Communication Technology series:

Continuous-Time Systems (Signals and Communication Technology)

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Continuous-Time Systems (Signals and Communication Technology) Cover

 

Synopses & Reviews

Publisher Comments:

Continuous-Time Systems is a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal (also called excitation signal or driving force) to an output signal (also called response signal), an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers major foundations of the systems theory. First, the quantitative and qualitative methods of systems description are presented along with the stability analysis. The representation of linear time-invariant systems in the time domain is provided using the convolution, ordinarily differential equations (ODEs), and state space. In the frequency domain, these systems are analyzed using the Fourier and Laplace transforms. The linear time-varying systems are represented using the general convolution, ODEs, and state space. The nonlinear time-invariant systems are described employing the Taylor and Volterra series expansions, ODEs, state space, and approximate methods such as averaging, equivalent linearization, and describing function. Finally, the representation of nonlinear time-varying systems is given using the Taylor and Volterra series, ODEs, modulation functions method, and state space modelling. Review of matrix theory and other useful generalizations are postponed to Appendices.

Synopsis:

This work offers students at all levels a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal to an output signal, an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers the major foundations of the systems theory.

Table of Contents

1 Introduction. 1.1 Principles of Operation of Typical Systems. 1.2 Systems Performance and Classification. 1.3 Basic Structures. 1.4 Basic Operations with Signals in Systems. 1.5 Summary. 1.6 Problems. 2 Quantitative Methods of Systems Description. 2.1 System Responses to Test Signals. 2.2 Methods for Linear Systems. 2.3 Common Methods for Nonlinear Systems. 2.4 Approximation and Linearization. 2.5 Averaging. 2.6 Equivalent Linearization. 2.7 Norms. 2.8 System Stability. 2.9 Summary. 2.10 Problems. 3 Qualitative Methods of Systems Description. 3.1 Qualitative Analysis. 3.2 Phase Trajectories. 3.3 Bifurcations. 3.4 Chaotic Orbits and Fractals. 3.5 Conservative Systems. 3.6 Dissipative (Near Conservative) Systems. 3.7 Summary. 3.8 Problems. 4 LTI Systems in the Time Domain. 4.1 Introduction. 4.2 Convolution. 4.3 Presentation by Differential Equations. 4.4 Electric Circuit Presentation by ODEs. 4.5 System Simulation by Block Diagrams. 4.6 State-space Presentation. 4.7 Solution of State Space Equations. 4.8 Summary. 4.9 Problems. 5 LTI Systems in the Frequency Domain (Transform Analysis). 5.1 Introduction. 5.2 Fourier Analysis. 5.3 Laplace Transform. 5.4 Unilateral Laplace transform. 5.5 Applications of Laplace transform. 5.6 Stability Analysis of Feedback Systems. 5.7 Selective Filter Approximations. 5.8 Summary. 5.9 Problems 6 Linear Time-Varying Systems. 6.1 Introduction. 6.2 Time-varying Impulse Response and General Convolution. 6.3 Properties of LTV Systems. 6.4 Differential Equation Presentation. 6.5 State Space Presentation. 6.6 Linear Periodically Time-varying Systems. 6.7 Summary. 6.8 Problems. 7 Nonlinear Time Invariant Systems. 7.1 Introduction. 7.2 Memoryless Systems. 7.3 Presentation of Memory Systems by Volterra Series. 7.4 Representation in the Transform Domain. 7.5 Approximation by Describing Functions. 7.6 Description by Differential Equations. 7.7 State Space Presentation. 7.8 Summary. 7.9 Problems. 8 Nonlinear Time Varying Systems. 8.1 Introduction. 8.2 Memoryless Time-varying Nonlinearities. 8.3 Volterra Series Expansion. 8.4 Description by Differential Equations. 8.5 Nonlinear Periodically Time-varying Systems. 8.6 State-space Presentation. 8.7 Summary. 8.8 Problems. A Dirac Delta Function. B Matrices. C Tables of Fourier Series, Transform, and Properties. D Tables of Laplace Transform and Transform Properties. E Mathematical formulas. References. Index.

Product Details

ISBN:
9789048175925
Author:
Shmaliy, Yuriy
Publisher:
Springer
Subject:
Engineering / Electrical
Subject:
Electronic System
Subject:
LINEAR
Subject:
Modulation.
Subject:
Non-linear
Subject:
Time-varying
Subject:
Signal, Image and Speech Processing
Subject:
Communications Engineering, Networks
Subject:
Microwaves, RF and Optical Engineering
Subject:
Circuits and Systems
Subject:
Circuits and Systems <P>Electronic systems</P> <P>Linear time-invariant systems</P> <P>Linear time-varying systems</P> <P>Nonlinear time-invariant systems</P> <P>Nonlinear time-varying systems</P>
Subject:
Electronics - General
Subject:
Electricity-General Electricity
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2007
Series:
Signals and Communication Technology
Publication Date:
20101119
Binding:
TRADE PAPER
Language:
English
Pages:
660
Dimensions:
235 x 155 mm 982 gr

Related Subjects

Engineering » Engineering » General Engineering
Health and Self-Help » Health and Medicine » General
Health and Self-Help » Health and Medicine » General Medicine
Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Electricity » General Electronics

Continuous-Time Systems (Signals and Communication Technology) New Trade Paper
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Product details 660 pages Springer - English 9789048175925 Reviews:
"Synopsis" by , This work offers students at all levels a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal to an output signal, an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers the major foundations of the systems theory.
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