Signals, systems, transforms, and digital signal processing with MATLAB. (2009)

• Record Type: Book
• Further Information: Note: Michael Corinthios.
• Other Names: Corinthios, Michael
• Contents: Continuous-Time and Discrete-Time Signals and Systems; Introduction; Continuous-Time Signals; Periodic Functions; Unit Step Function; Graphical Representation of Functions; Even and Odd Parts of a Function; Dirac-Delta Impulse; Basic Properties of the Dirac-Delta Impulse; Other Important Properties of the Impulse; Continuous-Time Systems; Causality, Stability; Examples of Electrical Continuous-Time Systems; Mechanical Systems; Transfer Function and Frequency Response; Convolution and Correlation; A Right-Sided and a Left-Sided Function; Convolution with an Impulse and Its Derivatives; Additional Convolution Properties; Correlation Function; Properties of the Correlation Function; Graphical Interpretation; Correlation of Periodic Functions; Average, Energy and Power of Continuous-Time Signals; Discrete-Time Signals; Periodicity; Difference Equations; Even/Odd Decomposition; Average Value, Energy and Power Sequences; Causality, Stability; Problems; Answers to Selected Problems; ; Fourier Series Expansion; Trigonometric Fourier Series; Exponential Fourier Series; Exponential versus Trigonometric Series; Periodicity of Fourier Series; Dirichlet Conditions and Function Discontinuity; Proof of the Exponential Series Expansion; Analysis Interval versus Function Period; Fourier Series as a Discrete-Frequency Spectrum; Meaning of Negative Frequencies; Properties of Fourier Series; Differentiation of Discontinuous Functions; Fourier Series of an Impulse Train; Expansion into Cosine or Sine Fourier Series; Deducing a Function Form from Its Expansion; Truncated Sinusoid Spectral Leakage; The Period of a Composite Sinusoidal Signal; Passage through a Linear System; Parseval’s Relations; Use of Power Series Expansion; Inverse Fourier Series; Problems; Answers to Selected Problems; ; Laplace Transform; Introduction; Bilateral Laplace Transform; Conditions of Existence of Laplace Transform; Basic Laplace Transforms; Notes on the ROC of Laplace Transform; Properties of Laplace Transform; Applications of the Differentiation Property; Transform of Right-Sided Periodic Functions; Convolution in Laplace Domain; Cauchy’s Residue Theorem; Inverse Laplace Transform; Case of Conjugate Poles; The Expansion Theorem of Heaviside; Application to Transfer Function and Impulse Response; Inverse Transform by Differentiation and Integration; Unilateral Laplace Transform; Gamma Function; Table of Additional Laplace Transforms; Problems; Answers to Selected Problems; ; Fourier Transform; Definition of the Fourier Transform; Fourier Transform as a Function of f; From Fourier Series to Fourier Transform; Conditions of Existence of the Fourier Transform; Table of Properties of the Fourier Transform; System Frequency Response; Even–Odd Decomposition of a Real Function; Causal Real Functions; Transform of the Dirac-Delta Impulse; Transform of a Complex Exponential and Sinusoid; Sign Function; Unit Step Function; Causal Sinusoid; Table of Fourier Transforms of Basic Functions; Relation between Fourier and Laplace Transforms; Relation to Laplace Transform with Poles on Imaginary Axis; Convolution in Time; Linear System Input–Output Relation; Convolution in Frequency; Parseval’s Theorem; Energy Spectral Density; Average Value versus Fourier Transform; Fourier Transform of a Periodic Function; Impulse Train; Fourier Transform of Powers of Time; System Response to a Sinusoidal Input; Stability of a Linear System; Fourier Series versus Transform of Periodic Functions; Transform of a Train of Rectangles; Fourier Transform of a Truncated Sinusoid; Gaussian Function Laplace and Fourier Transform; Inverse Transform by Series Expansion; Fourier Transform in ω and f; Fourier Transform of the Correlation Function; Ideal Filters Impulse Response; Time and Frequency Domain Sampling; Ideal Sampling; Reconstruction of a Signal from its Samples; Other Sampling Systems; Ideal Sampling of a Bandpass Signal; Sampling an Arbitrary Signal; Sampling the Fourier Transform; Problems; Answers to Selected Problems; ; System Modeling, Time and Frequency Response; Transfer Function; Block Diagram Reduction; Galvanometer; DC Motor; A Speed-Control System; Homology; Transient and Steady-State Response; Step Response of Linear Systems; First Order System; Second Order System Model; Settling Time; Second Order System Frequency Response; Case of a Double Pole; The Over-Damped Case; Evaluation of the Overshoot; Causal System Response to an Arbitrary Input; System Response to a Causal Periodic Input; Response to a Causal Sinusoidal Input; Frequency Response Plots; Decibels, Octaves, Decades; Asymptotic Frequency Response; Bode Plot of a Composite Linear System; Graphical Representation of a System Function; Vectorial Evaluation of Residues; Vectorial Evaluation of the Frequency Response; A First Order All-Pass System; Filtering Properties of Basic Circuits; Lowpass First Order Filter; Minimum Phase Systems; General Order All-Pass Systems; Signal Generation; Application of Laplace Transform to Differential Equations; Transformation of Partial Differential Equations; Problems; Answers to Selected Problems; ; Discrete-Time Signals and Systems; Introduction; Linear Time-Invariant Systems; Linear Constant-Coefficient Difference Equations; The z-Transform; Convergence of the z-Transform; Inverse z-Transform; Inverse z-Transform by Partial Fraction Expansion; Inversion by Long Division; Inversion by a Power Series Expansion; Inversion by Geometric Series Summation; Table of Basic z-Transforms; Properties of the z-Transform; Geometric Evaluation of Frequency Response; Comb Filters; Causality and Stability; Delayed Response and Group Delay; Discrete-Time Convolution and Correlation; Discrete-Time Correlation in One Dimension; Convolution and Correlation as Multiplications; Response of a Linear System to a Sinusoid; Notes on the Cross-Correlation of Sequences; LTI System Input/Output Correlation Sequences; Energy and Power Spectral Density; Two-Dimensional Signals; Linear Systems, Convolution and Correlation; Correlation of Two-Dimensional Signals; IIR and FIR Digital Filters; Discrete-Time All-Pass Systems; Minimum-Phase and Inverse System; Unilateral z-Transform; Problems; Answers to Selected Problems; ; Discrete-Time Fourier Transform; Laplace, Fourier and z-Transform Relations; Discrete-Time Processing of Continuous-Time Signals; A/D Conversion; Quantization Error; D/A Conversion; Continuous versus Discrete Signal Processing; Interlacing with Zeros; Sampling Rate Conversion; Fourier Transform of a Periodic Sequence; Table of Discrete-Time Fourier Transforms; Reconstruction of the Continuous-Time Signal; Stability of a Linear System; Table of Discrete-Time Fourier Transform Properties; Parseval’s Theorem; Fourier Series and Transform Duality; Discrete Fourier Transform; Discrete Fourier Series; DFT of a Sinusoidal Signal; Deducing the z-Transform from the DFT; DFT versus DFS; Properties of DFS and DFT; Circular Convolution; Circular Convolution Using the DFT; Sampling the Spectrum; Table of Properties of DFS; Shift in Time and Circular Shift; Table of DFT Properties; Zero Padding; Discrete z-Transform; Fast Fourier Transform; An Algorithm for a Wired-In Radix-2 Processor; Factorization of the FFT to a Higher Radix; Feedback Elimination for High-Speed Signal Processing; Problems; Answers to Selected Problems; ; State Space Modeling; Introduction; Note on Notation; State Space Model; System Transfer Function; System Response with Initial Conditions; Jordan Canonical Form of State Space Model; Eigenvalues and Eigenvectors; Matrix Diagonalization; Similarity Transformation of a State Space Model; Solution of the State Equations; General Jordan Canonical Form; Circuit Analysis by Laplace Transform and State Variables; Trajectories of a Second Order System; Second Order System Mo
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2009
• Extent: 1 online resource, illustrations
• Subjects: 621.382/2; Signal processing -- Digital techniques; System analysis; Fourier transformations
• Languages: English
• ISBNs: 9781420090499; 1420090496
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.