Linear systems and signals / B.P. Lathi.

Incluye referencias bibliográficas e índice.

B. Background.--
B.1. Complex Numbers.--
B.2. Sinusoids.--
B.3. Sketching Signals.--
B.4. Cramer's Rule.--
B.5. Partial Fraction Expansion.--
B.6. Vectors and Matrices.--
B.7. Miscellaneous.--

1. Signals and Systems.--
1.1. Size of a Signal.--
1.2. Some Useful Signal Operations.--
1.3. Classification of Signals.--
1.4. Some Useful Signal Models.--
1.5. Even and Odd Functions.--
1.6. Systems.--
1.7. Classification of Systems.--
1.8. System Model: Input-Output Description.--
1.9. Internal and External Descriptions of a System.--
1.10. Internal Description: The State-Space Description.--

2. Time-Domain Analysis of Continuous-Time Systems.--
2.1. Introduction.--
2.2. System Response to Internal Conditions: The Zero-Input Response.--
2.3. The Unit Impulse Response h(t).--
2.4. System Response to External Input: Zero-State Response.--
2.5. Classical Solution of Differential Equations.--
2.6. System Stability.--
2.7. Intuitive Insights into System Behavior.--
2.8. Appendix 2.1: Determining the Impulse Response.--

3. Time-Domain Analysis of Discrete-Time Systems.--
3.1. Introduction.--
3.2. Useful Signal Operations.--
3.3. Some Useful Discrete-Time Signal Models.--
3.4. Examples of Discrete-Time Systems.--
3.5. Discrete-Time System Equations.--
3.6. System Response to Internal Conditions: The Zero-Input Response.--
3.7. The Unit Impulse Response h[n].--
3.8. System Response to External Input: The Zero-State Response.--
3.9. Classical Solution of Linear Difference Equations.--
3.10. System Stability: The External (BIBO) Stability Criterion.--
3.11. Intuitive Insights into System Behavior.--
3.12. Appendix 3.1: Impulse Response for a Special Case.--

4. Continuous-Time System Analysis Using the Laplace Transform.--
4.1. The Laplace Transform.--
4.2. Some Properties of the Laplace Transform.--
4.3. Solution of Differential and Integro-Differential Equations.--
4.4. Analysis of Electrical Networks: The Transformed Network.--
4.5. Block Diagrams.--
4.6. System Realization.--
4.7. Application to Feedback and Controls.--
4.8. Frequency-Response of an LTIC System.--
4.9. Bode Plots.--
4.10. Filter Design by Placement of Poles and Zeros of H(s).--
4.11. The Bilateral Laplace Transform.--

5. Discrete-Time System Analysis Using the z-Transform.--
5.1. The z-Transform.--
5.2. Some Properties of the z-Transform.--
5.3. z-Transform Solution of Linear Difference equations.--
5.4. System Realization.--
5.5. Frequency Response of Discrete-Time Systems.--
5.6. Frequency Response from Pole-Zero Location.--
5.7. Digital Processing of Analog Signals.--
5.8. Connection Between the Laplace and the z-Transform.--
5.9. The Bilateral z-Transform.--

6. Continuous-Time Signal Analysis: The Fourier Series.--
6.1. Periodic Signal Representation by Trigonometric Fourier Series.--
6.2. Existence and Convergence of the Fourier Series.--
6.3. Exponential Fourier Series.--
6.4. LTIC System Response to Periodic Inputs.--
6.5. Generalized Fourier Series: Signals as Vectors.--
6.6. Numerical Computation of Dn.--

7. Continuous-Time Signal Analysis: The Fourier Transform.--
7.1. Aperiodic Signal Representation by Fourier Integral.--
7.2. Transforms of Some Useful Functions.--
7.3. Some Properties of the Fourier Transform.--
7.4. Signal Transmission Through LTIC Systems.--
7.5. Ideal and Practical Filters.--
7.6. Signal Energy.--
7.7. Application to Communications: Amplitude Modulation.--
7.8. Data Truncation: Window Functions.--

8. Sampling: The Bridge from Continuous to Discrete.--
8.1. The Sampling Theorem.--
8.2. Signal Reconstruction.--
8.3. Analog-to-Digital (A/D) Conversion.--
8.4. Dual of Time-Sampling: The Spectral Sampling.--
8.5. Numerical Computation of the Fourier Transform: The Discrete Fourier Transform (DFT).--
8.6. The Fast Fourier Transform (FFT).--

9. Fourier Analysis of Discrete-Time Signals.--
9.1. Discrete-Time Fourier Series (DTFS).--
9.2. Aperiodic Signal Representation by Fourier Integral.--
9.3. Properties of DTFT.--
9.4. LTI Discrete-Time System Analysis by DTFT.--
9.5. DTFT Connection with the CTFT.--
9.6. Generalization of the DTFT and the z-Transform.--

10. State-Space Analysis.--
10.1. Introduction.--
10.2. A Systematic Procedure for Determining State Equations.--
10.3. Solution of State Equations.--
10.4. Linear Transformation of State Vector.--
10.5. Controllability and Observability.--
10.6. State-Space Analysis of Discrete-Time Systems.

Linear Systems and Signals, 2nd, ed,, presents a clear, comprehensive introduction to signals and linear systems. The book emphasizes physical appreciation of concepts through heuristic reasoning and the use of metaphors, analogies, and creative explanations. Such an approach is much different from a purely deductive technique that uses mere mathematical manipulation of symbols and ignores the physical meaning behind various derivations. The deductive technique deprives students of the enjoyable experience of logically uncovering the subject matter. Here the author uses mathematics not so much to prove axiomatic theory as to support and enhance physical and intuitive understanding. Wherever possible, theoretical results are interpreted heuristically and are enhanced by carefully chosen examples and analogies.

The organization of the text allows for a great deal of flexibility in teaching continuous-time and discrete-time concepts. The natural order of the chapters in the book integrates the two; however, the
book can also be tailored to teach these concepts sequentially.

Its thorough content, practical approach, and structural adaptability make Linear Systems and Signals, 2nd ed., ideal for undergraduate courses in linear systems or in signals and systems.

Área de Ciencias Básicas e Ingenierías