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CSE 4631 - Digital Signal Processing

Announcements:

Final Exam:
Syllabus: The first 5 weeks are excluded from the final exam. That is, the effective syllabus is the contents covered from Week 6 up to week 14.
All the quiz questions are uploaded in the file section.


Quiz #4 will take place on Thursday, 25 September at 2.00 pm in the classroom. The syllabus of the Quiz is the materials covered in chapters 14,15 and 16 from Smith.
Quiz #3 will take place on Tuesday, 2 September at 2.00 pm in the classroom. The syllabus of the Quiz is the materials covered in weeks 8,9,10. 
Quiz #2 will take place on 11 July at 2.00 pm in the classroom. The syllabus of the Quiz is the materials covered in weeks 5,6,7. 
Quiz #1 will take place on Wednesday, 25 June at 2.0 pm Wednesday, 2 July at 1 pm in the classroom. The syllabus of the Quiz is the materials covered in first four weeks. 


Timeline:

Week 1: Introduction (Chapter 1, Smith; Chaper 1, Proakis)
  • The Roots of DSP, Telecommunication, Audio Processing, Echo Location, Image Processing (Smith Chapter 1)
  • Classification of Signals (1.2, Proakis)
  • The concept of frequency in CT and DT Signals (1.3.1-1.3.2, Proakis)
Week 2: Statistics, Probability and Noise (Chapter 2, Smith)
  • Signal and Graph Terminology
  • Mean and Standard Deviation
  • Signal vs. Underlying Process
  • Histogram, PMF, PDF, 
  • Normal Distribution
  • Digital Noise Generation
  • Precision and Accuracy
Week 3: Analog to Digital Conversion, DT Signals and Systems
  • Sampling of Analog Signals, The Sampling Theorem, Quantization, Coding (1.4.1,1.4.2, 1.4.3, 1.4.5, Proakis)
  • Elementary DT Signals, Classification of DT Signals, Simple Manipulation of DT Signals (2.1.1, 2.1.2, 2.1.3, Proakis)
  • Input-Output Description of Systems (2.2.1, Proakis)
Week 4: 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
Week 5: Linear Systems (continued)
  • Superposition, Common Decompositions, Alternatives to Linearity (Smith)
  • Block diagram representation of DT Systems (2.2.2, Proakis)
  • Classification of DT Systems (2.2.3, Proakis)
Week 6: Convolution (Chapter 6, Smith+Proakis)
  • Delta Function, Impulse response
  • Convolution
  • Input side algorithm, Output side algorithm
  • 2.3.3, 2.3.4, 2.3.5, 2.3.7, Proakis
Week 7: Convolution: Properties, Correlation (Chapter 7, Smith+Proakis)
  • Common Impulse responses (Excluding low and high-pass filter)
  • Mathematical Properties
  • Correlation
  • Speed
  • 2.6.1, Proakis
Week 8: 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, Analysis, Duality, Polar Notation, Polar Nuisance
Week 9: Complex Number, Complex Fourier Transform (Chapter 30, 31, Smith)
  • Chapter 30: (up to page 562)
    • Complex Number System, Polar Notation, 
    • Complex Numbers by substitution, Complex representation of Sinusoids and systems
  • Chapter 31
    • Real DFT, Mathematical Equivalence
    • Complex DFT, Family of Fourier Transform, Why Complex FT?
Week 10: Applications of DFT (Chapter 9, Smith)
  • Spectral analysis (Page 169-171)
  • Frequency response, Convolution via the frequency domain
Week 11: Properties of DFT (Chapter 10, Smith)
  • Linearity, Characteristics of the Phase, Periodic Nature of DFT (Page 185-200)
  • Multiplying Signals (Amplitude Modulation) (Page 204-206)
Week 12: FFT, Filters 
  • Fast Fourier Transform (Page 225-232, 237-241, Chapter 12, Smith)
  • Introduction to Digital Filters (Chapter 14, Smith)
  • Moving Average Filters (Chapter 15, Smith)
Week 13: More into Filters
  • Windowed-Sinc Filters (Chapter 16, Smith)
  • Custom Filters (Page 297-300, 307-310, Chapter 17, Smith)
  • Recursive Filters (Chapter 19, Smith)
Week 14: Laplace Transform and z-Transform
  • Laplace Transform: The nature of s-domain (Page 581-588, Chapter 32, Smith)
  • z-Transform: Chapter 3, Proakis 
    • The z-Transform (3.1.1) [Inverse z-Transform is excluded]
    • Properties of z-Transform (3.2, Proakis.). Only the following properties are included:
      • Linearity
      • Time shifting
      • Scaling in the z-domain
      • Time reversal
      • Convolution of two sequences
      • Correlation of two sequences
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