Course Planner

Week

Topics

Week 1
Aug 30 – Sep 6, 2011
  • Introductory tutorial on MATLAB
  • Tentative Outline of Lecture series
Week 2
Sep 6 – 20, 2011
  • Overview of DSP System
  • Time-Frequency Picture
  • Discrete Signals and Concepts
  • Discrete Sequences
  • Delta, Unit Step, Ramp, Sine, Cosine
  • Exponential, Periodic, Harmonic Sequences
  • Folded Sequences
  • Even-Odd Decompositions
Week 3
Sep 20 – Oct 4, 2011
  • Geometric Sequences
  • Random or Noise Sequences
  • Chirp-ed Sequences
  • Complex Power Sequences
  • Specific Frequency Generation
  • Discrete-Time Systems: Linearity and Time Invariance
  • Analysis of LTI-Systems: Convolution
  • LTI Systems as Filters: Moving Average Filter
  • Difference Equations in MATLAB: Filter Response
Week 4
Oct 4 – 18, 2011
  • Introduction to Z-Transform and Inverse Z-Transform
  • Transfer Function Representation
  • Pole-Zero computation in MATLAB
  • Pole-Zero plot in Z-plane
  • Digital Filter Frequency Response
  • Z-Transform Partial Fraction Expansion via Residue Computation
  • Computing Inverse Z-Transforms
  • System Representation in Z-Domain
  • Solutions of the Difference Equation in Z-Domain
Week 5
Oct 18 – Nov 1, 2011
  • Discrete Time Processing of Continuous Time Signals
  • Analog-to-Discrete-to-Quantized-to-Digital Transformation
  • Sampling-Mathematical Model, Realization and Freq. Domain Perspective
  • Sampling Nightmares-Aliasing: Time-Frequency Domain Perspective
  • The Sampling Theorem: Origins, Applications and Extensions
  • MATLAB implementation of Discrete Time System
  • Sinc Filter-Mathematical Model, Realization and Freq. Domain Perspective
  • Downsapling/Decimation, Upsampling/Interpolation
  • Fourier in MATLAB: A second home
  • Fourier Analysis in MATLAB
Week 6
Nov 1 – 15, 2011
  • Digital Filters-Introduction
  • Digital Filters Classification-Time and Frequency Domain
  • Characterization based on Magnitude and Phase Response
  • Ideal Filters-Brick Wall Behavior
  • Realizability issues with Idean Filters
  • Realizable Filters
  • FIR Filters-Moving Average Filter, LPF, HPF, BPF, BSF
  • Realizable Filter Characteristics
  • FIR Low Pass Filter-Window Operation
  • Gibb’s Phenomenon
  • FIR Filter Design using Window Operation
  • Windows-Types and Characteristics
  • MATLAB Filter Library
Week 7
Nov 15 – 29, 2011
  • Revision of Assignments
  • Revision of important DSP and MATLAB concepts
  • Final Project
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