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BackgroundB.1. Complex NumbersB.2. SinusoidsB.3. Sketching SignalsB.4. Cramer''s RuleB.5. Partial Fraction ExpansionB.6. Vectors and MatricesB.7. MiscellaneousChapter 1. Introduction to Signals and Systems1.1. Size of a Signal1.2. Classification of Signals1.3. Some Useful Signal Operations1.4. Some Useful Signal Models1.5. Even and Odd Functions1.6. Systems1.7. Classification of Systems1.8. System Model: Input-Output DescriptionChapter 2. Time-Domain Analysis of Continuous-Time Systems2.1. Introduction2.2. System Response to Internal Conditions: 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 ResponseChapter 3. Signal Representation by Fourier Series3.1. Signals and Vectors3.2. Signal Comparison: Correlation3.3. Signal Representation by Orthogonal Signal Set3.4. Trigonometric Fourier Series3.5. Exponential Fourier Series3.6. Numerical Computation of D[n3.7. LTIC System response to Periodic Inputs3.8. AppendixChapter 4. Continuous-Time Signal Analysis: The Fourier Transform4.1. Aperiodic Signal Representation by Fourier Integral4.2. Transform of Some Useful Functions4.3. Some Properties of the Fourier Transform4.4. Signal Transmission through LTIC Systems4.5. Ideal and Practical Filters4.6. Signal Energy4.7. Application to Communications: Amplitude Modulation4.8. Angle Modulation4.9. Data Truncation: Window FunctionsChapter 5. Sampling5.1. The Sampling Theorem5.2. Numerical Computation of Fourier Transform: The Discrete Fourier Transform (DFT)5.3. The Fast Fourier Transform (FFT)5.4. Appendix
5.1Chapter 6. Continuous-Time System Analysis Using the Laplace Transform6.1. The Laplace Transform6.2. Some Properties of the Laplace Transform6.3. Solution of Differential and Integro-Differential Equations6.4. Analysis of Electrical Networks: The Transformed Network6.5. Block Diagrams6.6. System Realization6.7. Application to Feedback and Controls6.8. The Bilateral Laplace Transform6.9. Appendix
6.1: Second Canonical RealizationChapter 7. Frequency Response and Analog Filters7.1. Frequency Response of an LTIC System7.2. Bode Plots7.3. Control System Design Using Frequency Response7.4. Filter Design by Placement of Poles and Zeros of H(s)7.5. Butterworth Filters7.6. Chebyshev Filters7.7. Frequency Transformations7.8. Filters to Satisfy Distortionless Transmission ConditionsChapter 8. Discrete-Time Signals and Systems8.1. Introduction8.2. Some Useful Discrete-Time Signal Models8.3. Sampling Continuous-Time Sinusoids and Aliasing8.4. Useful Signal Operations8.5. Examples of Discrete-Time SystemsChapter 9. Time-Domain Analysis of Discrete-Time Systems9.1. Discrete-Time System Equations9.2. System Response to Internal Conditions: Zero-Input Response9.3. Unit Impulse Response h[k]9.4. System Response to External Input: Zero-State Response9.5. Classical Solution of Linear Difference Equations9.6. System Stability9.7. Appendix
9.1: Determining Impulse ResponseChapter 10. Fourier Analysis of Discrete-Time Signals10.1Fourier Series. Periodic Signal Representation by Discrete-Time Fourier Series10.2 Aperiodic Signal Representation by Fourier Integral10.3. Properties of DTFT10.4. DTFT Connection with the Continuous-Time Fourier Transform10.5. Discrete-Time Linear System Analysis by DTFT10.6. Signal Processing Using DFT and FFT10.7. Generalization of DTFT to the Z-TransformChapter 11. Discrete-Time System Analysis Using the Z-Transform11.1. The Z-Transform11.2. Some Properties of the Z-Transform11.3. Z-Transform Solution of Linear Difference Equations11.4. System Realization11.5. Connection Between the Laplace and the Z-Transform11.6. Sampled-Data (Hybrid) Systems11.7. The Bilateral Z-TransformChapter 12. Frequency Response and Digital Filters12.1. Frequency Response of Discrete-Time Systems12.2. Frequency Response From Pole-Zero Location12.3. Digital Filters12.4. Filter Design Criteria12.5. Recursive Filter Design: The Impulse Invariance Method12.6. Recursive Filter Design: The Bilinear Transformation Method12.7. Nonrecursive Filters12.8. Nonrecursive Filter DesignChapter 13. State-Space Analysis13.1. Introduction13.2. Systematic Procedure for Determining State Equations13.3. Solution of State Equations13.4. Linear Transformation of State Vector13.5. Controllability and Observability13.6. State-Space Analysis of Discrete-Time SystemsAnswers to Selected ProblemsSupplementary ReadingIndexEach
chapter ends with a Summary