Thư viện Trường Đại học Phú Xuân
|
PXU E-LIB
Đăng nhập
Signals and Systems

Nguồn ngoài

Signals and Systems

This textbook introduces signals and systems in both continuous and discrete time, covering signal operations, system properties, convolution, and stability. It explores Fourier series and transforms, sampling and reconstruction, and system analysis using Laplace and Z-transforms. Advanced topics include filter design, FFT, and matched filtering. Appendices review linear algebra, Hilbert spaces, and analysis fundamentals, with support for interactive content.

Electrical EngineeringEngineering
Tác giả
Richard Baraniuk et al.
Nhà xuất bản
Rice University
Nguồn
LibreTexts
Giấy phép
CC BY
Ngôn ngữ
EN
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 121 mục
  1. 01: Introduction to Signals
  2. 1.01: Signal Classifications and Properties
  3. 1.02: Signal Size and Norms
  4. 1.03: Signal Operations
  5. 1.04: Common Continuous Time Signals
  6. 1.05: Common Discrete Time Signals
  7. 1.06: Continuous Time Impulse Function
  8. 1.07: Discrete Time Impulse Function
  9. 1.08: Continuous Time Complex Exponential
  10. 1.09: Discrete Time Complex Exponential
  11. 02: Introduction to Systems
  12. 2.01: System Classifications and Properties
  13. 2.02: Linear Time Invariant Systems
  14. 03: Time Domain Analysis of Continuous Time Systems
  15. 3.01: Continuous Time Systems
  16. 3.02: Continuous Time Impulse Response
  17. 3.03: Continuous Time Convolution
  18. 3.04: Properties of Continuous Time Convolution
  19. 3.05: Eigenfunctions of Continuous Time LTI Systems
  20. 3.06: BIBO Stability of Continuous Time Systems
  21. 3.07: Linear Constant Coefficient Differential Equations
  22. 3.08: Solving Linear Constant Coefficient Differential Equations
  23. 04: Time Domain Analysis of Discrete Time Systems
  24. 4.01: Discrete Time Systems
  25. 4.02: Discrete Time Impulse Response
  26. 4.03: Discrete Time Convolution
  27. 4.04: Properties of Discrete Time Convolution
  28. 4.05: Eigenfunctions of Discrete Time LTI Systems
  29. 4.06: BIBO Stability of Discrete Time Systems
  30. 4.07: Linear Constant Coefficient Difference Equations
  31. 4.08: Solving Linear Constant Coefficient Difference Equations
  32. 05: Introduction to Fourier Analysis
  33. 5.01: Introduction to Fourier Analysis
  34. 06: Continuous Time Fourier Series (CTFS)
  35. 6.01: Continuous Time Periodic Signals
  36. 6.02: Continuous Time Fourier Series (CTFS)
  37. 6.03: Common Fourier Series
  38. 6.04: Properties of the CTFS
  39. 6.05: Continuous Time Circular Convolution and the CTFS
  40. 6.06: Convergence of Fourier Series
  41. 6.07: Gibbs Phenomena
  42. 07: Discrete Time Fourier Series (DTFS)
  43. 7.01: Discrete Time Periodic Signals
  44. 7.02: Discrete Time Fourier Series (DTFS)
  45. 7.03: Common Discrete Fourier Series
  46. 7.04: Properties of the DTFS
  47. 7.05: Discrete Time Circular Convolution and the DTFS
  48. 08: Continuous Time Fourier Transform (CTFT)
  49. 8.01: Continuous Time Aperiodic Signals
  50. 8.02: Continuous Time Fourier Transform (CTFT)
  51. 8.03: Common Fourier Transforms
  52. 8.04: Properties of the CTFT
  53. 8.05: Continuous Time Convolution and the CTFT
  54. 09: Discrete Time Fourier Transform (DTFT)
  55. 9.01: Discrete Time Aperiodic Signals
  56. 9.02: Discrete Time Fourier Transform (DTFT)
  57. 9.03: Common Discrete Time Fourier Transforms
  58. 9.04: Properties of the DTFT
  59. 9.05: Discrete Time Convolution and the DTFT
  60. 10: Sampling and Reconstruction
  61. 10.01: Signal Sampling
  62. 10.02: Sampling Theorem
  63. 10.03: Signal Reconstruction
  64. 10.04: Perfect Reconstruction
  65. 10.05: Aliasing Phenomena
  66. 10.06: Anti-Aliasing Filters
  67. 10.07: Discrete Time Processing of Continuous Time Signals
  68. 11: Laplace Transform and Continuous Time System Design
  69. 11.01: Laplace Transform
  70. 11.02: Common Laplace Transforms
  71. 11.03: Properties of the Laplace Transform
  72. 11.04: Inverse Laplace Transform
  73. 11.05: Poles and Zeros in the S-Plane
  74. 11.06: Region of Convergence for the Laplace Transform
  75. 11.07: Rational Functions and the Laplace Transform
  76. 11.08: Differential Equations
  77. 11.09: Continuous Time Filter Design
  78. 12: Z-Transform and Discrete Time System Design
  79. 12.01: Z-Transform
  80. 12.02: Common Z-Transforms
  81. 12.03: Properties of the Z-Transform
  82. 12.04: Inverse Z-Transform
  83. 12.05: Poles and Zeros in the Z-Plane
  84. 12.06: Region of Convergence for the Z-Transform
  85. 12.07: Rational Functions and the Z-Transform
  86. 12.08: Difference Equations
  87. 12.09: Discrete Time Filter Design
  88. 13: Capstone Signal Processing Topics
  89. 13.01: DFT- Fast Fourier Transform
  90. 13.02: The Fast Fourier Transform (FFT)
  91. 13.03: Deriving the Fast Fourier Transform
  92. 13.04: Matched Filter Detector
  93. 14: Appendix A- Linear Algebra Overview
  94. 14.01: Basic Linear Algebra
  95. 14.02: Eigenvectors and Eigenvalues
  96. 14.03: Matrix Diagonalization
  97. 14.04: Eigen-Stuff in a Nutshell
  98. 14.05: Eigenfunctions of LTI Systems
  99. 15: Appendix B- Hilbert Spaces Overview
  100. 15.01: Fields and Complex Numbers
  101. 15.02: Vector Spaces
  102. 15.03: Norms
  103. 15.04: Inner Products
  104. 15.05: Hilbert Spaces
  105. 15.06: Cauchy-Schwarz Inequality
  106. 15.07: Common Hilbert Spaces
  107. 15.08: Types of Bases
  108. 15.09: Orthonormal Basis Expansions
  109. 15.10: Function Space
  110. 15.11: Haar Wavelet Basis
  111. 15.12: Orthonormal Bases in Real and Complex Spaces
  112. 15.13: Plancharel and Parseval's Theorems
  113. 15.14: Approximation and Projections in Hilbert Space
  114. 16: Appendix C- Analysis Topics Overview
  115. 16.01: Introduction to Metric Spaces
  116. 16.02: Convergence of Sequences
  117. 16.03: Convergence of Sequences of Vectors
  118. 16.04: Uniform Convergence of Function Sequences
  119. 17: Appendix D- Viewing Interactive Content
  120. 17.01: Viewing Embedded LabVIEW Content in Connexions
  121. 17.02: Getting Started with Mathematica