Continuous signals and systems with MATLAB. (2018)

• Record Type: Book
• Further Information: Note: Edited by Taan S. ElAli and Mohammad A. Karim.
• Authors: ElAli, Taan
• Editors: ElAli, Taan S, 1963-; Karim, Mohammad A
• Contents: Preface ; Signal Representation ; Examples of Continuous Signals; The Continuous Signal; Periodic and Nonperiodic Signals; General Form of Sinusoidal Signals; Energy and Power Signals; The Shifting Operation; The Reflection Operation; Even and Odd Functions; Time Scaling; The Unit Step Signal; The Signum Signal; The Ramp Signal; The Sampling Signal; The Impulse Signal; Some Insights: Signals in the Real World; Continuous Systems ; Definition of a System; Input and Output; Linear Continuous System; Time-Invariant System; Systems without Memory; Causal Systems; The Inverse of a System; Stable Systems; Convolution; Simple Block Diagrams; Graphical Convolution; Differential Equations and Physical Systems; Homogeneous Differential Equations and Their Solutions; Nonhomogeneous Differential Equations and Their Solutions; The Stability of Linear Continuous Systems; The Characteristic Equation; Block Diagram Representation of Linear Systems; From Block Diagrams to Differential Equations; From Differential Equations to Block Diagrams; The Impulse Response; Some Insights: Calculating y (t ); Fourier Series ; Review of Complex Numbers; Orthogonal Functions; Periodic Signals; Conditions for Writing a Signal as a Fourier Series Sum; Basis Functions; The Magnitude and the Phase Spectra; Fourier Series and the Sin-Cos Notation; Fourier Series Approximation and the Resulting Error; The Theorem of Parseval; Systems with Periodic Inputs; A Formula for Finding y (t ) When x (t ) Is Periodic: The Steady-State Response; Some Insight: Why the Fourier Series?; The Fourier Transform and Linear Systems ; Definition; Introduction; The Fourier Transform Pairs; Energy of Nonperiodic Signals; The Energy Spectral Density of a Linear System; Some Insights: Notes and a Useful Formula; The Laplace Transform and Linear Systems ; Definition; The Bilateral Laplace Transform; The Unilateral Laplace Transform; The Inverse Laplace Transform; Block Diagrams Using the Laplace Transform; Representation of Transfer Functions as Block Diagrams; Procedure for Drawing the Block Diagram from the Transfer Function; Solving LTI Systems Using the Laplace Transform; Solving Differential Equations Using the Laplace Transform; The Final Value Theorem; The Initial Value Theorem; Some Insights: Poles and Zeros; State-Space and Linear Systems ; Introduction; A Review of Matrix Algebra; General Representation of Systems in State Space; General Solution of State-Space Equations Using the Laplace Transform; General Solution of the State-Space Equations in Real Time; Ways of Evaluating eAt ; Some Insights: Poles and Stability; Block Diagrams ; Introduction; Basic Block Diagram Components; Block Diagrams as Interconnected Subsystems; The Controllable Canonical Form Block Diagrams with Basic Blocks; The Observable Canonical Form Block Diagrams with Basic Blocks; The Diagonal Form Block Diagrams with Basic Blocks; The Parallel Block Diagrams with Subsystems; The Series Block Diagrams with Subsystems; Block Diagram Reduction Rules; Analog Filter Design ; Introduction; Analogue Filter Specifications; Butterworth Filter Approximation; Chebyshev Filters; Elliptic Filter Approximation; Bessel Filters; Analog Frequency Transformation; Analog Filter Design Using MATLAB; How Do We Find the Cutoff Frequency Analytically?; Limitations; Comparison between Analog Filter Types; Implementation of Analog Filters; Some Insights: Filters with High Gain versus Filters with Low Gain and the Relation between the Time Constant and the Cutoff Frequency for First-Order Circuits and the Series RLC Circuit; Introduction to Nonlinear Systems ; Introduction; Linear and Nonlinear Differential Equations; The Process of Linearization; Some Insights: The Meaning of Linear and Nonlinear; Index ; Each chapter contains Examples, Problems, and References at the end.
• Edition: Second edition
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 621.3822; Signal processing -- Mathematics; System analysis
• Languages: English
• ISBNs: 9781351835244
• Related ISBNs: 9781420054750; 9781351826556; 9781315219356
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
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