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Course10810615182 lectures

Digital Signal Processing

Prof. C.S.Ramalingam · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Week 1: Introduction to Signals, Elementary Signals

  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

Week 2: Elementary Signals (cont'd), Systems and their Properties

  1. Exponential Signals and Sinusoids Video
  2. Sinusoids (cont'd) Video
  3. When are two sinusoids independent? Video
  4. Another Difference Between CT and DT Sinusoids Video
  5. System definition and properties (linearity) Video
  6. Time-invariance, memory, causality, and stability Video

Week 3: LTI Systems and Convolution

  1. LTI systems, impulse response, and convolution Video
  2. Properties of convolution, system interconnections Video
  3. Java applet demo of convolution Video
  4. Systems governed by LCCDE Video
  5. FIR and IIR systems Video
  6. Karplus-Strong algorithm Video

Week 4: Introduction to the Z-transform

  1. Z-transform definition and RoC Video
  2. Z-transform (cont'd) Video
  3. Poles and zeros Video
  4. Recursive implementation of FIR filters Video
  5. Convergence criterion Video
  6. Properties of the RoC Video
  7. DTFT definition and absolute summability Video

Week 5: Properties of the Z-transform

  1. Linearity Video
  2. Delay Video
  3. Exponential multiplication Video
  4. Complex conjugation Video
  5. Time reversal Video
  6. Differentiation in the Z-domain Video
  7. Convolution in the time domain Video
  8. Relationship between x[n] and X(1) Video

Week 6 :Properties (cont'd), Inverse Z-transform

  1. Initial Value Theorem Video
  2. Final Value Theorem Video
  3. Multiplication in the time domain Video
  4. Parseval's Theorem Video
  5. Partial Fractions Method Video
  6. Power series method Video
  7. Contour Integral Method Video
  8. Contour Integral Method (cont'd) Video

week 7 Inverse DTFT, Further properties of LTI systems

  1. Inverse DTFT Video
  2. DTFT of Sequences that are not absolutely summable Video
  3. Response to cos(?_0 n+?) Video
  4. Causality & Stability Video
  5. Response to suddenly applied inputs Video

Week 8: Frequency Response

  1. Introduction to frequency response Video
  2. Magnitude response and its geometric interpretation Video
  3. Magnitude Response (cont'd) Video
  4. Response of a single complex zero/pole Video
  5. Resonator and Improved Resonator Video
  6. Notch filter Video
  7. Moving Average Filter Video
  8. Comb filter Video

Week 9: Phase Response

  1. Phase response of a single complex zero Video
  2. Effect of crossing a unit circle zero, wrapped and unwrapped phase, resonator phase response Video
  3. Allpass Filter Video
  4. Group delay and its physical interpretation Video
  5. Zero-phase filtering, effect on nonlinear phase on waveshape Video

Week 10

  1. Zero-Phase Filtering, Linear Phase (1) Video
  2. Linear Phase (2) Video
  3. Linear Phase (3) Video
  4. Linear Phase (3) Video
  5. Linear Phase (3) Video
  6. Linear Phase (4), Sampling (1) Video
  7. Linear Phase (4), Sampling (1) Video

Week 11

  1. Linear Phase (4), Sampling (1) Video
  2. Sampling (2) Video
  3. Sampling (3) Video
  4. Sampling (4) Video
  5. Sampling (4) Video
  6. Sampling (4) Video

Week 12

  1. The Discrete Fourier Transform (1) Video
  2. The Discrete Fourier Transform (1) Video
  3. The Discrete Fourier Transform (2) Video
  4. The Discrete Fourier Transform (3) Video
  5. The Discrete Fourier Transform (3) Video
  6. The Discrete Fourier Transform (3) Video
  7. The Discrete Fourier Transform (4) Video
  8. The Discrete Fourier Transform (4) Video
  9. The Discrete Fourier Transform (4) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Electrical Engineering
Teacher
Prof. C.S.Ramalingam
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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