Linear Systems and Signals

Linear Systems and Signals

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This introductory level book gives comprehensive treatment to signals and linear systems. It emphasizes the physical appreciation of concepts rather than the mere mathematical manipulation of symbols. Mathematics is used to enhance physical and intuitive understanding, instead of to prove axiomatic theory. This book is divided into five parts and allows for the flexible teaching of discrete-time and continuous-time systems. Wherever possible, theoretical results are interpreted heuristically and are supported by examples and analogies.show more

Product details

  • Hardback | 670 pages
  • 191.5 x 252.5 x 35.1mm | 1,315.43g
  • Oxford University Press Inc
  • New York, United States
  • English
  • 0195151291
  • 9780195151299

Table of contents

PART I: INTRODUCTION. B. Background. B.1: Complex Numbers. B.2: Sinusoids. B.3: Sketching Signals. B.4: Some Useful Signal Operations. B.5: Mathematical Description of a Signal from its Sketch. B.6: Even and Odd Functions. B.7: Cramer's Rule. B.8: Partial Fraction Expansion. B.9: Vectors and Matrices. B.10: Miscellaneous. 1. Introduction to Systems. 1.1: Signals and Systems. 1.2: Classification of Systems. 1.3: System Model: Input-output Description. 1.4: Simultaneous Differential Equations. 1.5: Internal and External Description of a System. 1.6: State-Space Description of a System. 1.7: Summary. PART II: TIME-DOMAIN ANALYSIS OF LTI SYSTEMS. 2. Time-Domain Analysis: Continuous-Time Systems. 2.1: Introduction. 2.2: System Response to Internal Conditions: Zero-Input Response. 2.3: Unit Impulse Function. 2.4: System Response to External Input: Zero-State Response. 2.5: Numerical Convolution. 2.6: System Stability. 2.7: Intuitive Insights in System Behavior. 2.8: Classical Solution of Differential Equations. 2.9: Appendix 2.1: Determining the Impulse Response. 2.10: Summary. 3. Time-Domain Analysis: Discrete-Time Systems. 3.1: Discrete-Time Systems. 3.2: Discrete-Time Systems Equations. 3.3: System Response to Internal Conditions: zero-Input Response. 3.4: Unit Impulse Response. 3.5: System Response to External Input: zero-State Response. 3.6: System Stability. 3.7: Intuitive Insights in System Behavior. 3.8: Classical Solution of Linear Difference Equations. 3.9: Appendix 3.1: Determining Impulse Response. 3.10: Summary. PART III: FREQUENCY-DOMAIN (TRANSFORM) ANALYSIS OF LTI SYSTEMS. 4. Continuous-Time Systems: Laplace Transform Analysis. 4.1: The Laplace Transform. 4.2: Some Properties of the Laplace Transform. 4.3: Transform Solution of Differential and Integro-Differential Equations. 4.4: Analysis of Electrical Networks: Transformed Network Method. 4.5: Block Diagrams. 4.6: System Realization. 4.7: Frequency-Response of an LTIC System. 4.8: Bilateral Laplace Transform. 4.9: Appendix 4.1: Second Canonical Realization. 4.10: Summary. 5. Discrete-Time Systems: Z-Transform Analysis. 5.1: The Z-Transform. 5.2: Some Properties of the Z-Transform. 5.3: Z-Transform Solution of Difference Equations. 5.4: System Realization. 5.5: Frequency Response of Discrete-Time Systems. 5.6: Connection between the Z-Transform and Laplace Transform. 5.7: Bilateral Z-Transform. 5.8: Summary. PART IV: SIGNAL ANALYSIS. 6. Continuous-Time Signal Analysis: The Fourier Series. 6.1: Representation of Periodic Signals by Trigonometric Fourier Series. 6.2: Exponential. 6.3: Alternate View of Fourier Representation: Signal-Vector Analogy. 6.4: Summary. 7. Continuous-Time Signal Analysis: The Fourier Transform. 7.1: Nonperiodic Signal Representation by Fourier Integral. 7.2: Physical Appreciation of the Fourier Transform. 7.3: Transform of Some Useful Functions. 7.4: Some Properties of the Fourier Transform. 7.5: LTI System Analysis by Fourier Transform. 7.6: Signal Distortion During Transmission. 7.7: Ideal and Practical Filters. 7.8: Thinking in Time-Domain and Frequency-Domain: Two-Dimensional View of Signals and Systems. 7.9: Signal Energy. 7.10: Data Truncation: Window Functions. 7.11: Summary. 8. Sampling. 8.1: The Sampling Theorem. 8.2: Dual of the Sampling Theorem: Spectral Sampling. 8.3: Numerical Computation of Fourier Transform: The Discrete Fourier Transform (DFT). 8.4: Summary. 9. Analysis of Discrete-Time Signals. 9.1: Discrete-Time Periodic Signals. 9.2: Nonperiodic Signals: The Discrete-Time Fourier Transform (DTFT). 9.3: Properties of DTFT. 9.4: LTID System Analysis by STFT. 9.5: Relationships Among Various Transforms. 9.6: Derivation of the Z-Transform Pair. 9.7: Summary. PART V: STATE-SPACE ANALYSIS. 10. State-Space Analysis. 10.1: Introduction. 10.2: 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. 10.7: Summary. Supplementary Reading. Indexshow more

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84 ratings
4.02 out of 5 stars
5 39% (33)
4 36% (30)
3 17% (14)
2 5% (4)
1 4% (3)
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