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Digital Signal Processing-2015


Final Exam Syllabus: Contents covered in Week 7-15.
*Marks of all the quizzes, mid-semester and attendance are uploaded. Please contact me by Friday (16th October) if you have any queries about these.

Quiz #4 will take place on Tuesday 6 October at 2.00 pm. The syllabus of the quiz is the contents covered in weeks 14 and 15 (excluding grayed out topics)
Quiz #3 will take place on Wednesday 16 September at 2.00 pm. The syllabus of the quiz is the contents covered in weeks 11,12.
Quiz #2 will take place on Tuesday 28 July
 at 2.00 pm. The syllabus of the quiz is the contents covered in the weeks 4,5,6 and 7.
Quiz #1 will take place on Tuesday 30 June at 2.00 pm, after the lab. The syllabus of the quiz is the contents covered in the first THREE weeks.


Timeline:

Week 1: Introduction
  • The Roots of DSP, Telecommunication, Audio Processing, Echo Location, Image Processing (Smith Chapter 1)
  • Signals, Systems and Signal Processing (1.1, Proakis)
  • Classification of Signals (1.2, Proakis)
  • The concept of frequency in CT and DT Signals (1.3.1-1.3.2, Proakis)
  • Sampling of Analog Signals, The Sampling Theorem, Quantization, Coding (1.4.1,1.4.2, 1.4.3, 1.4.5, Proakis)
Week 2: Statistics, Probability and Noise (Chapter 2, Smith)
  • Signal and Graph Terminology
  • Mean and Standard Deviation
  • Signal vs. Underlying Process
  • Precision and Accuracy
Week 3: Linear Systems (Chapter 5, Smith)
  • Signals and Systems
  • Requirements for Linearity
  • Static Linearity and Sinusoidal Fidelity 
  • Examples of Linear and Nonlinear systems
  • Special Properties of Linearity
  • Superposition, Common decompositions, Alternatives to Linearity
Week 4: DT Signals and Systems
  • Elementary DT Signals, Classification of DT Signals, Simple Manipulation of DT Signals (2.1.1, 2.1.2, 2.1.3, Proakis)
  • DT Systems: Input-output description of systems, block diagram representation (2.2.1, 2.2.2, Proakis)
  • Classification of DT Systems (2.2.3 Proakis) 
Week 5: Convolution (Chapter 6, Smith; Proakis)
  • Delta Function, Impulse response
  • Convolution
  • Input side algorithm, Output side algorithm
  • Sum of Weighted Input
  • Proakis: Examples 2.3.2, 2.3.4
Week 6: Properties of Convolution (Chapter 7, Smith; Proakis)
  • Common Impulse responses
  • Mathematical Properties
  • Correlation
  • Speed
  • Proakis: 2.6.1
Week 7: The Discrete Fourier Transform (Chapter 8, Smith)
  • Family of Fourier Transform
  • Notation and Format of DFT
  • Frequency domain's Independent variable
  • DFT Basis Functions
  • Synthesis: Calculating the Inverse DFT
Week 8: DFT (Chapter 8, Smith), Application of DFT(Chapter 9, Smith)
  • Analysis, calculating the DFT
  • Duality, Polar Notation, Polar Nuisances
  • Applications of DFT (Chapter 9)
    • Spectral Analysis of Signals (169-171)
    • Frequency Response of Systems
    • Convolution via Frequency Domain: Circular Convolution
************************ MID-SEMESTER EXAMINATION ************************

Week 9: Fourier Transform Properties (Chapter 10, Smith)
  • Linearity, Characteristics of the Phase, Periodic Nature of DFT (Page 185-200)
  • Multiplying Signals (Amplitude Modulation), DTFT (Page 204-207)
Week 10: Fast Fourier Transform (Chapter 12, Smith)
  • Real DFT Using Complex DFT
  • How FFT Works
  • Speed and Pricision Comparisons
Week 11: Introduction to Filters, MAF
  • Introduction to Digital Filters (Chapter 14, Complete)
  • Moving Average Filters (Chapter 15, Complete)
Week 12: More Filters
  • Windowed-Sinc Filters (Chapter 16, Complete)
  • Custom Filters: Arbitrary Frequency Response, Optimal Filters (Page 297-300, 307-310, Chapter 17, Smith)
  • Recursive Filters (Chapter 19, Complete)
Week 13: Complex Number, Complex Fourier Transform
  • Complex Number System, Polar Notation, Complex Number By substitution ...
  • Complex Representation of Sinusoids, and Systems (up to page 562, Chapter 30, Smith)
  • Complex Fourier Transform (Chapter 31, Complete)
Week 14: Laplace Transform and z-Transform 
  • The Nature of the s-Domain (up to page 588, Chapter 32, Smith)
  • Chapter 33, Smith, Pages 605-619
    • The Nature of the z-Domain
    • Analysis of Recursive Systems
    • Cascade and Parallel Stages
Week 15: z-Transform (continued): Chapter 3, Proakis
  • Direct z-Transform (3.1.1, complete)
  • Properties of z-Transform (3.2)
  • Rational z-Transform (3.3)
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