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Signal Processing and Linear Systems.pdf

发布时间：2022-06-16 发布人：admin 分类：说明书 资料大小：27.48M 资料格式：pdf 举报 版权申诉
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    Content
    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 Introduction to Signals and Systems
    1.1 Size o f a Signal
    1.2 Classification of Signals
    1.3 Some Useful Signal Operations
    1.4 Some Useful Signal models
    1.5 Even a nd Odd Functions
    1.6 Systems
    1.7 Classification of Systems
    1.8 System Model: Input-output Description
    1.9 Summary
    2 Time-Domain Analysis of Continuous-Time Systems
    2.1 Introduction
    2.2 System Response to Internal Conditions: Zero-Input response
    2.3 T he 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
    2.9 Summary
    3 Signal Representation By Fourier Series
    3.1 Signals and Vectors
    3.2 Signal Comparison: Correlation
    3.3 Signal Representation by Orthogonal Signal Set
    3.4 Trigonometric Fourier Series
    3.5 Exponential Fourier Series
    3.6 Numerical Computation of Dn
    3.7 LTIC System response to Periodic Inputs
    3.8 Appendix
    3.9 Summary
    4 Continuous-Time Signal Analysis: The Fourier Transform
    4.1 Aperiodic Signal Representation By Fourier Integral
    4.2 Transform of Some Useful Functions
    4.3 Some Properties of the Fourier Transform
    4.4 Signal Transmission Through LTIC Systems
    4.5 Ideal and Practical Filters
    4.6 Signal Energy
    4.7 Application to Communications: Amplitude Modulation
    4.8 Angle Modulation
    4.9 Data Truncation: Window Functions
    4.10 Summary
    5 Sampling
    5.1 The Sampling Theorem
    5.2 Numerical Computation of Fourier Transform: The Discrete Fourier Transform (DFT)
    5.3 The Fast Fourier Transform (FFT)
    5.4 Appendix 5.1
    5.5 Summary
    6 Continuous-Time System Analysis Using the Laplace Transform
    6.1 The Laplace Transform
    6.2 Some Properties of the Laplace Transform
    6.3 Solution of Differential and Integro-Differential Equations 390 6.4 Analysis of Electrical Networks: The Transformed Network
    6.5 Block Diagrams
    6.6 System Realization
    6.7 Application to Feedback and Controls
    6.8 The Bilateral Laplace Transform
    6.9 Appendix 6.1: Second Canonical Realization
    6.10 Summary
    7 Frequency Response and Analog Filters
    7.1 Frequency Response of an LTIC System
    7.2 Bode Plots
    7.3 Control System design Using Frequency Response
    7.4 Filter Design by Placement of Poles and Zeros of H(s)
    7.5 Butterworth Filters
    7.6 Chebyshev Filters
    7.7 Frequency Transformations
    7.8 Filters to Satisfy Distortionless Transmission Conditions
    7.9 Summary
    8 Discrete-Time Signals and Systems
    8.1 Introduction
    8.2 Some Useful Discrete-T ime Signal Models
    8.3 Sampling Continuous-Time Sinusoids and Aliasing
    8.4 Useful Signal Operations
    8.5 Examples of Discrete-Time Systems
    8.6 Summary
    9 Time-Domain Analysis of Discrete-Time Systems
    9.1 Discrete-T ime System Equations
    9.2 System Response to Internal Conditions: Zero-Input Response
    9.3 Unit Impulse Response h[k]
    9.4 System Response to External Input: Zero-State Response
    9.5 Classical solution of Linear Difference Equations
    9.6 System Stability
    9.7 Appendix 9.1: Determining Impulse Response
    9.8 Summary
    10 Fourier Analysis of Discrete-Time Signals
    10.1 Periodic Signal Representation by Discrete-Time Fourier Series
    10.2 Aperiodic Signal Representation by Fourier Integral
    10.3 Properties of DTFT
    10.4 DTFT Connection With the Continuous-Time Fourier transform
    10.5 Discrete-Time Linear System analysis by DTFT
    10.6 Signal Processing Using DFT and FFT
    10.7 Generalization of DTFT to the Z-Transform
    10.8 Summary
    11 Discrete-Time System Analysis Using the z-Transform
    11.1 The Z-Transform
    11.2 Some Properties of the Z-Transform
    11.3 Z-Transform Solution of Linear Difference Equations
    11.4 System Realization
    11.5 Connection Between the Laplace and the Z-Transform
    11.6 Sampled-Data ( Hybrid) Systems
    11.7 The Bilateral Z-Transform
    11.8 Summary
    12 Frequency Response and Digital Filters
    12.1 Frequency Response of Discrete-Time Systems
    12.2 Frequency Response From Pole-Zero Location
    12.3 Digital Filters
    12.4 Filter Design Criteria
    12.5 Recursive Filter Design: The Impulse Invariance Method
    12.6 Recursive Filter Design: T he Bilinear Transformation Method
    12.7 Nonrecursive Filters
    12.8 Nonrecursive Filter Design
    12.9 Summary
    13 State-Space Analysis
    13.1 Introduction
    13.2 Systematic Procedure for Determining State Equations
    13.3 Solution of State Equations
    13.4 Linear Transformation of State Vector
    13.5 Controllability and Observability
    13.6 State-Space Analysis of Discrete-Time Systems
    13.7 Summary
    Answers to Selected Problems
    Supplementary Reading
    Index
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