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Viser: Linear Systems and Signals
Linear Systems and Signals
B. P. Lathi
(2004)
Sprog: Engelsk
Oxford University Press
599,00 kr.
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Detaljer om varen
- 2. Udgave
- Hardback: 992 sider
- Udgiver: Oxford University Press (August 2004)
- ISBN: 9780195158335
Incorporating new problems and examples, the second edition of Linear Systems and Signals features MATLAB® material in each chapter and at the back of the book. It gives clear descriptions of linear systems and uses mathematics not only to prove axiomatic theory, but also to enhance physical and intuitive understanding.
PrefaceEach
chapter ends with a Summary and References.Each MATLAB section ends with Problems.B. BackgroundB.1.. Complex NumbersB.2.. SinusoidsB.3.. Sketching SignalsB.4.. Cramer''s RuleB.5.. Partial Fraction ExpansionB.6.. Vectors and MatricesB.7.. MiscellaneousMATLAB Session B: Elementary OperationsB.M.1.. MATLAB OverviewB.M.2.. Calculator OperationsB.M.3.. Vector OperationsB.M.4.. Simple PlottingB.M.5.. Element-by-Element OperationsB.M.6.. Matrix OperationsB.M.7.. Partial Fraction Expansions1. Signals and Systems1.1.. Size of a Signal1.2.. Some Useful Signal Operations1.3.. Classification of Signals1.4.. Some Useful Signal Models1.5.. Even and Odd Functions1.6.. Systems1.7.. Classification of Systems1.8.. System Model: Input-Output Description1.9.. Internal and External Descriptions of a System1.10.. Internal Description: The State-Space DescriptionMATLAB Session
1: Working with Functions1.M.1.. Inline Functions1.M.2.. Relational Operators and the Unit Step Function1.M.3.. Visualizing Operations on the Independent Variable1.M.4.. Numerical Integration and Estimating Signal Energy2. Time-Domain Analysis of Continuous-Time Systems2.1.. Introduction2.2.. System Response to Internal Conditions: The Zero-Input Response2.3.. The Unit Impulse Response h(t)2.4.. System Response to External Input: Zero-State Response2.5.. Classical Solution of Differential Equations2.6.. System Stability2.7.. Intuitive Insights into System Behavior2.8.. Appendix
2.1: Determining the Impulse ResponseMATLAB Session
2: M-Files2.M.1.. Script M-Files2.M.2.. Function M-Files2.M.3.. For Loops2.M.4.. Graphical Understanding of Convolution3. Time-Domain Analysis of Discrete-Time Systems3.1.. Introduction3.2.. Useful Signal Operations3.3.. Some Useful Discrete-Time Signal Models3.4.. Examples of Discrete-Time Systems3.5.. Discrete-Time System Equations3.6.. System Response to Internal Conditions: The Zero-Input Response3.7.. The Unit Impulse Response h[n]3.8.. System Response to External Input: The Zero-State Response3.9.. Classical Solution of Linear Difference Equations3.10.. System Stability: The External (BIBO) Stability Criterion3.11.. Intuitive Insights into System Behavior3.12.. Appendix
3.1: Impulse Response for a Special Case When aN = 0MATLAB Session
3: Discrete-Time Signals and Systems3.M.1.. Discrete-Time Functions and Stem Plots3.M.2.. System Responses Through Filtering3.M.3.. A Custom Filter Function3.M.4.. Discrete-Time Convolution4. Continuous-Time System Analysis Using the Laplace Transform4.1.. The Laplace Transform4.2.. Some Properties of the Laplace Transform4.3.. Solution of Differential and Integro-Differential Equations4.4.. Analysis of Electrical Networks: The Transformed Network4.5.. Block Diagrams4.6.. System Realization4.7.. Application to Feedback and Controls4.8.. Frequency-Response of an LTIC System4.9.. Bode Plots4.10.. Filter Design by Placement of Poles and Zeros of H(s)4.11.. The Bilateral Laplace TransformMATLAB Session
4: Continuous-Time Filters4.M.1.. Frequency Response and Polynomial Evaluation4.M.2.. Design and Evaluation of a Simple RC Filter4.M.3.. A Cascaded RC Filter and Polynomial Expansion4.M.4.. Butterworth Filters and the FIND Command4.M.5.. Butterworth Filter Realization Using Cascaded Second.Order Sections4.M.6.. Chebyshev Filters5. Discrete-Time System Analysis Using the z-Transform5.1.. The z-Transform5.2.. Some Properties of the z-Transform5.3.. z-Transform Solution of Linear Difference equations5.4.. System Realization5.5.. Frequency Response of Discrete-Time Systems5.6.. Frequency Response from Pole-Zero Location5.7.. Digital Processing of Analog Signals5.8.. Connection Between the Laplace and the z-Transform5.9.. The Bilateral z-TransformMATLAB Session
5: Discrete-Time IIR Filters5.M.1.. Frequency Response and Pole-Zero Plots5.M.2.. Transformation Basics5.M.3.. Transformation by First-Order Backward Difference5.M.4.. Bilinear Transformation5.M.5.. Bilinear Transformation with Prewarping5.M.6.. Example: Butterworth Filter Transformation5.M.7.. Problems Finding Polynomial Roots5.M.8.. Improved Design Using Cascaded Second-Order Sections6. Continuous-Time Signal Analysis: The Fourier Series6.1.. Periodic Signal Representation by Trigonometric Fourier Series6.2.. Existence and Convergence of the Fourier Series6.3.. Exponential Fourier Series6.4.. LTIC System Response to Periodic Inputs6.5.. Generalized Fourier Series: Signals as Vectors6.6.. Numerical Computation of DnMATLAB Session
6: Fourier Series Applications6.M.1.. Periodic Functions and the Gibbs Phenomenon6.M.2.. Optimization and Phase Spectra7. Continuous-Time Signal Analysis: The Fourier Transform7.1.. Aperiodic Signal Representation by Fourier Integral7.2.. Transforms of Some Useful Functions7.3.. Some Properties of the Fourier Transform7.4.. Signal Transmission Through LTIC Systems7.5.. Ideal and Practical Filters7.6.. Signal Energy7.7.. Application to Communications: Amplitude Modulation7.8.. Data Truncation: Window FunctionsMATLAB Session
7: Fourier Transform Topics7.M.1.. The Sinc Function and the Scaling Property7.M.2.. Parseval''s Theorem and Essential Bandwidth7.M.3.. Spectral Sampling7.M.4.. Kaiser Window Functions8. Sampling: The Bridge from Continuous to Discrete8.1.. The Sampling Theorem8.2.. Signal Reconstruction8.3.. Analog-to-Digital (A/D) Conversion8.4.. Dual of Time-Sampling: The Spectral Sampling8.5.. Numerical Computation of the Fourier Transform: The Discrete Fourier Transform (DFT)8.6.. The Fast Fourier Transform (FFT)MATLAB Session
8: The Discrete Fourier Transform8.M.1.. Computing the Discrete Fourier Transform8.M.2.. Improving the Picture with Zero-Padding8.M.3.. Quantization9. Fourier Analysis of Discrete-Time Signals9.1.. Discrete-Time Fourier Series (DTFS)9.2.. Aperiodic Signal Representation by Fourier Integral9.3.. Properties of DTFT9.4.. LTI Discrete-Time System Analysis by DTFT9.5.. DTFT Connection with the CTFT9.6.. Generalization of the DTFT and the z-TransformMATLAB Session
9: Working with the DTFS and the DTFT9.M.1.. Computing the Discrete-Time Fourier Series9.M.2.. Measuring Code Performance9.M.3.. FIR Filter Design by Frequency Sampling10. State-Space Analysis10.1.. Introduction10.2.. A Systematic Procedure for Determining State Equations10.3.. Solution of State Equations10.4.. Linear Transformation of State Vectors10.5.. Controllability and Observability10.6.. State-Space Analysis of Discrete-Time SystemsMATLAB Session
10: Toolboxes and State-Space Analysis10.M.1.. z-Transform Solutions to Discrete-Time State-Space Systems10.M.2.. Transfer Functions from State-Space Representations10.M.3.. Controllability and Observability of Discrete-Time Systems10.M.4.. Matrix Exponentiation and the Matrix ExponentialIndex
chapter ends with a Summary and References.Each MATLAB section ends with Problems.B. BackgroundB.1.. Complex NumbersB.2.. SinusoidsB.3.. Sketching SignalsB.4.. Cramer''s RuleB.5.. Partial Fraction ExpansionB.6.. Vectors and MatricesB.7.. MiscellaneousMATLAB Session B: Elementary OperationsB.M.1.. MATLAB OverviewB.M.2.. Calculator OperationsB.M.3.. Vector OperationsB.M.4.. Simple PlottingB.M.5.. Element-by-Element OperationsB.M.6.. Matrix OperationsB.M.7.. Partial Fraction Expansions1. Signals and Systems1.1.. Size of a Signal1.2.. Some Useful Signal Operations1.3.. Classification of Signals1.4.. Some Useful Signal Models1.5.. Even and Odd Functions1.6.. Systems1.7.. Classification of Systems1.8.. System Model: Input-Output Description1.9.. Internal and External Descriptions of a System1.10.. Internal Description: The State-Space DescriptionMATLAB Session
1: Working with Functions1.M.1.. Inline Functions1.M.2.. Relational Operators and the Unit Step Function1.M.3.. Visualizing Operations on the Independent Variable1.M.4.. Numerical Integration and Estimating Signal Energy2. Time-Domain Analysis of Continuous-Time Systems2.1.. Introduction2.2.. System Response to Internal Conditions: The Zero-Input Response2.3.. The Unit Impulse Response h(t)2.4.. System Response to External Input: Zero-State Response2.5.. Classical Solution of Differential Equations2.6.. System Stability2.7.. Intuitive Insights into System Behavior2.8.. Appendix
2.1: Determining the Impulse ResponseMATLAB Session
2: M-Files2.M.1.. Script M-Files2.M.2.. Function M-Files2.M.3.. For Loops2.M.4.. Graphical Understanding of Convolution3. Time-Domain Analysis of Discrete-Time Systems3.1.. Introduction3.2.. Useful Signal Operations3.3.. Some Useful Discrete-Time Signal Models3.4.. Examples of Discrete-Time Systems3.5.. Discrete-Time System Equations3.6.. System Response to Internal Conditions: The Zero-Input Response3.7.. The Unit Impulse Response h[n]3.8.. System Response to External Input: The Zero-State Response3.9.. Classical Solution of Linear Difference Equations3.10.. System Stability: The External (BIBO) Stability Criterion3.11.. Intuitive Insights into System Behavior3.12.. Appendix
3.1: Impulse Response for a Special Case When aN = 0MATLAB Session
3: Discrete-Time Signals and Systems3.M.1.. Discrete-Time Functions and Stem Plots3.M.2.. System Responses Through Filtering3.M.3.. A Custom Filter Function3.M.4.. Discrete-Time Convolution4. Continuous-Time System Analysis Using the Laplace Transform4.1.. The Laplace Transform4.2.. Some Properties of the Laplace Transform4.3.. Solution of Differential and Integro-Differential Equations4.4.. Analysis of Electrical Networks: The Transformed Network4.5.. Block Diagrams4.6.. System Realization4.7.. Application to Feedback and Controls4.8.. Frequency-Response of an LTIC System4.9.. Bode Plots4.10.. Filter Design by Placement of Poles and Zeros of H(s)4.11.. The Bilateral Laplace TransformMATLAB Session
4: Continuous-Time Filters4.M.1.. Frequency Response and Polynomial Evaluation4.M.2.. Design and Evaluation of a Simple RC Filter4.M.3.. A Cascaded RC Filter and Polynomial Expansion4.M.4.. Butterworth Filters and the FIND Command4.M.5.. Butterworth Filter Realization Using Cascaded Second.Order Sections4.M.6.. Chebyshev Filters5. Discrete-Time System Analysis Using the z-Transform5.1.. The z-Transform5.2.. Some Properties of the z-Transform5.3.. z-Transform Solution of Linear Difference equations5.4.. System Realization5.5.. Frequency Response of Discrete-Time Systems5.6.. Frequency Response from Pole-Zero Location5.7.. Digital Processing of Analog Signals5.8.. Connection Between the Laplace and the z-Transform5.9.. The Bilateral z-TransformMATLAB Session
5: Discrete-Time IIR Filters5.M.1.. Frequency Response and Pole-Zero Plots5.M.2.. Transformation Basics5.M.3.. Transformation by First-Order Backward Difference5.M.4.. Bilinear Transformation5.M.5.. Bilinear Transformation with Prewarping5.M.6.. Example: Butterworth Filter Transformation5.M.7.. Problems Finding Polynomial Roots5.M.8.. Improved Design Using Cascaded Second-Order Sections6. Continuous-Time Signal Analysis: The Fourier Series6.1.. Periodic Signal Representation by Trigonometric Fourier Series6.2.. Existence and Convergence of the Fourier Series6.3.. Exponential Fourier Series6.4.. LTIC System Response to Periodic Inputs6.5.. Generalized Fourier Series: Signals as Vectors6.6.. Numerical Computation of DnMATLAB Session
6: Fourier Series Applications6.M.1.. Periodic Functions and the Gibbs Phenomenon6.M.2.. Optimization and Phase Spectra7. Continuous-Time Signal Analysis: The Fourier Transform7.1.. Aperiodic Signal Representation by Fourier Integral7.2.. Transforms of Some Useful Functions7.3.. Some Properties of the Fourier Transform7.4.. Signal Transmission Through LTIC Systems7.5.. Ideal and Practical Filters7.6.. Signal Energy7.7.. Application to Communications: Amplitude Modulation7.8.. Data Truncation: Window FunctionsMATLAB Session
7: Fourier Transform Topics7.M.1.. The Sinc Function and the Scaling Property7.M.2.. Parseval''s Theorem and Essential Bandwidth7.M.3.. Spectral Sampling7.M.4.. Kaiser Window Functions8. Sampling: The Bridge from Continuous to Discrete8.1.. The Sampling Theorem8.2.. Signal Reconstruction8.3.. Analog-to-Digital (A/D) Conversion8.4.. Dual of Time-Sampling: The Spectral Sampling8.5.. Numerical Computation of the Fourier Transform: The Discrete Fourier Transform (DFT)8.6.. The Fast Fourier Transform (FFT)MATLAB Session
8: The Discrete Fourier Transform8.M.1.. Computing the Discrete Fourier Transform8.M.2.. Improving the Picture with Zero-Padding8.M.3.. Quantization9. Fourier Analysis of Discrete-Time Signals9.1.. Discrete-Time Fourier Series (DTFS)9.2.. Aperiodic Signal Representation by Fourier Integral9.3.. Properties of DTFT9.4.. LTI Discrete-Time System Analysis by DTFT9.5.. DTFT Connection with the CTFT9.6.. Generalization of the DTFT and the z-TransformMATLAB Session
9: Working with the DTFS and the DTFT9.M.1.. Computing the Discrete-Time Fourier Series9.M.2.. Measuring Code Performance9.M.3.. FIR Filter Design by Frequency Sampling10. State-Space Analysis10.1.. Introduction10.2.. A Systematic Procedure for Determining State Equations10.3.. Solution of State Equations10.4.. Linear Transformation of State Vectors10.5.. Controllability and Observability10.6.. State-Space Analysis of Discrete-Time SystemsMATLAB Session
10: Toolboxes and State-Space Analysis10.M.1.. z-Transform Solutions to Discrete-Time State-Space Systems10.M.2.. Transfer Functions from State-Space Representations10.M.3.. Controllability and Observability of Discrete-Time Systems10.M.4.. Matrix Exponentiation and the Matrix ExponentialIndex
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