Signals and Systems

Signals and Systems

NPTEL-NOC IITM via YouTube Direct link

Laplace Transform : Region of Convergence [ROC]

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50 of 88

Laplace Transform : Region of Convergence [ROC]

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Signals and Systems

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  1. 1 Introduction to Signals & Systems
  2. 2 mod01lec01- Real and Complex Number
  3. 3 mod01lec02-Sinusoid and Phasor
  4. 4 mod01lec03-Limits and Continuity
  5. 5 mod01lec04-Differentiation and Integration
  6. 6 mod01lec05-L’Hospital’s Rule
  7. 7 mod01lec06-Input-Output Relation for RLC circuits
  8. 8 mod01lec07-Unit Step and Delta function
  9. 9 mod02lec08-Continuous and Discrete Time Systems
  10. 10 Even Signal; Odd Signal
  11. 11 mod02lec10-Orthogonality of Signals
  12. 12 mod02lec11-Shifting and Scaling in Continuous Time - I
  13. 13 mod02lec12-Shifting and Scaling in Continuous Time - II
  14. 14 mod02lec13-Shifting and Scaling in Discrete Time
  15. 15 mod02lec14-Signal and Noise
  16. 16 mod02lec15-Signals in the Physical World
  17. 17 mod02lec16-Signals and Sensory Perception
  18. 18 Frequency Domain Representation
  19. 19 Definition of Fourier Transform
  20. 20 Fourier Transform Examples - I
  21. 21 Dirichlet Conditions
  22. 22 Inverse Fourier Transform
  23. 23 Fourier Transform Examples - II
  24. 24 Frequency-Time Uncertainty Relation
  25. 25 Fourier Transform : Linearity, Time Shifting and Time Scaling
  26. 26 Fourier Transform : Derivative Property
  27. 27 Fourier Transform : Multiplication and Convolution Property
  28. 28 Fourier Transform : Integral Property
  29. 29 Fourier Transform Example - III
  30. 30 Fourier Transform Example - IV
  31. 31 Fourier Transform of Noise
  32. 32 Types of Noise
  33. 33 Overview of Systems and General Properties
  34. 34 Linearity and Time Invariance
  35. 35 LTI System Examples
  36. 36 Frequency Response of RLC circuits - I
  37. 37 Frequency Response of RLC circuits - II
  38. 38 LCCDE Representation of Continuous-Time LTI Systems
  39. 39 Frequency Domain Representation of LCCDE Systems
  40. 40 Time Domain Representation of LTI Systems
  41. 41 Continuous-Time Convolution Integral
  42. 42 Continuous-Time Convolution Example I
  43. 43 Continuous-Time Convolution Example II
  44. 44 Continuous-Time Convolution Example III
  45. 45 LTI Systems : Commutative, Distributive and Associative
  46. 46 LTI Systems : Memorylessness and Invertibility
  47. 47 LTI Systems : Causality and Stability
  48. 48 Fourier Transform in Complex Frequency Domain
  49. 49 Laplace Transform : Poles and Zeros
  50. 50 Laplace Transform : Region of Convergence [ROC]
  51. 51 Laplace Transform Examples I
  52. 52 Laplace Transform Examples II
  53. 53 Laplace Analysis of LTI Systems
  54. 54 Laplace Analysis of RLC Circuits I
  55. 55 Laplace Transform : Linearity, Shifting and Scaling
  56. 56 Laplace Transform : Derivative and Integral
  57. 57 Laplace Transform : Causality and Stability
  58. 58 Laplace Analysis of LTI Systems Example I
  59. 59 Laplace Analysis of LTI Systems Example II
  60. 60 Laplace Analysis of First Order RLC Circuits
  61. 61 Laplace Analysis of Second Order RLC Circuits
  62. 62 Fourier Transform of Periodic Signals
  63. 63 Fourier Series Representation in Continuous-Time
  64. 64 Fourier Series Properties I
  65. 65 Fourier Series Properties II
  66. 66 LTI System Response for Periodic Input Signal
  67. 67 Fourier Series in Continuous-Time : Examples I
  68. 68 Fourier Series in Continuous-Time : Examples II
  69. 69 mod10lec68-Discrete-Time Convolution Sum
  70. 70 mod10lec69-Discrete-Time Convolution Sum Examples and Properties
  71. 71 mod10lec70-LCCDE Representation of Discrete-Time LTI Systems
  72. 72 mod10lec71-Impulse Train Sampling
  73. 73 mod10lec72-Reconstruction of Continuous-Time Signal
  74. 74 mod10lec73-Nyquist Sampling Theorem and Aliasing
  75. 75 mod11lec74-Fourier Transform of Sampled Signals
  76. 76 mod11lec75-DTFT Examples I
  77. 77 mod11lec76-DTFT Properties I
  78. 78 mod11lec77-DTFT Properties II
  79. 79 mod11lec78-DTFT Properties III
  80. 80 mod11lec79-DTFT Examples II
  81. 81 mod12lec80-DTFT in Complex Frequency Domain
  82. 82 mod12lec81-Z-Transform : Properties of ROC
  83. 83 mod12lec82-Z-Transform Properties II
  84. 84 mod12lec83-Z-Transform Properties II
  85. 85 mod12lec84-Z-Transform Properties III
  86. 86 mod12lec85-Z-Transform Examples I
  87. 87 mod12lec86-Z-Transform Examples II
  88. 88 mod12lec87-Block Diagram Representation

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