Learn · Digital Signal Processing

Lecture 14 of 82Week 3: LTI Systems and Convolution

LTI systems, impulse response, and convolution

Prof. C.S.Ramalingam · IIT Madras

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Digital Signal Processing, IIT Madras (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures

  1. Signal Definition & Classification Video
  2. Affine Transform Video
  3. Recap of Affine Transform Video
  4. Even and Odd Parts of a Signal Video
  5. The Unit Step Sequence Video
  6. The Unit Impulse Video
  7. The Unit Impulse (cont'd) Video
  8. Exponential Signals and Sinusoids Video
  9. Sinusoids (cont'd) Video
  10. When are two sinusoids independent? Video
  11. Another Difference Between CT and DT Sinusoids Video
  12. System definition and properties (linearity) Video
  13. Time-invariance, memory, causality, and stability Video
  14. LTI systems, impulse response, and convolution Video
  15. Properties of convolution, system interconnections Video
  16. Java applet demo of convolution Video
  17. Systems governed by LCCDE Video
  18. FIR and IIR systems Video
  19. Karplus-Strong algorithm Video
  20. Z-transform definition and RoC Video
  21. Z-transform (cont'd) Video
  22. Poles and zeros Video
  23. Recursive implementation of FIR filters Video
  24. Convergence criterion Video
  25. Properties of the RoC Video
  26. DTFT definition and absolute summability Video
  27. Linearity Video
  28. Delay Video
  29. Exponential multiplication Video
  30. Complex conjugation Video
  31. Time reversal Video
  32. Differentiation in the Z-domain Video
  33. Convolution in the time domain Video
  34. Relationship between x[n] and X(1) Video
  35. Initial Value Theorem Video
  36. Final Value Theorem Video
  37. Multiplication in the time domain Video
  38. Parseval's Theorem Video
  39. Partial Fractions Method Video
  40. Power series method Video
  41. Contour Integral Method Video
  42. Contour Integral Method (cont'd) Video
  43. Inverse DTFT Video
  44. DTFT of Sequences that are not absolutely summable Video
  45. Response to cos(?_0 n+?) Video
  46. Causality & Stability Video
  47. Response to suddenly applied inputs Video
  48. Introduction to frequency response Video
  49. Magnitude response and its geometric interpretation Video
  50. Magnitude Response (cont'd) Video
  51. Response of a single complex zero/pole Video
  52. Resonator and Improved Resonator Video
  53. Notch filter Video
  54. Moving Average Filter Video
  55. Comb filter Video
  56. Phase response of a single complex zero Video
  57. Effect of crossing a unit circle zero, wrapped and unwrapped phase, resonator phase response Video
  58. Allpass Filter Video
  59. Group delay and its physical interpretation Video
  60. Zero-phase filtering, effect on nonlinear phase on waveshape Video
  61. Zero-Phase Filtering, Linear Phase (1) Video
  62. Linear Phase (2) Video
  63. Linear Phase (3) Video
  64. Linear Phase (3) Video
  65. Linear Phase (3) Video
  66. Linear Phase (4), Sampling (1) Video
  67. Linear Phase (4), Sampling (1) Video
  68. Linear Phase (4), Sampling (1) Video
  69. Sampling (2) Video
  70. Sampling (3) Video
  71. Sampling (4) Video
  72. Sampling (4) Video
  73. Sampling (4) Video
  74. The Discrete Fourier Transform (1) Video
  75. The Discrete Fourier Transform (1) Video
  76. The Discrete Fourier Transform (2) Video
  77. The Discrete Fourier Transform (3) Video
  78. The Discrete Fourier Transform (3) Video
  79. The Discrete Fourier Transform (3) Video
  80. The Discrete Fourier Transform (4) Video
  81. The Discrete Fourier Transform (4) Video
  82. The Discrete Fourier Transform (4) Video