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DSP 2016

Quiz #2 will take place on Thursday, 4 August at 2.30 pm. The syllabus of the quiz is the contents covered in weeks five and six.
Quiz #1 will take place on Thursday 21 June at 2.00 pm. The syllabus of the quiz is the contents covered in the first FOUR weeks.



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)
Week 5: DT Systems, Convolution (Chapter 6, Smith; Proakis)
  • Classification of DT Systems (2.2.3 Proakis) 
  • Delta Function, Impulse response
  • Convolution
  • Input side algorithm, Output side algorithm
  • Sum of Weighted Input
  • Proakis: Example 2.3.2
Week 6: Properties of Convolution (Chapter 7, Smith)
  • Common Impulse responses (Excluding pages 128-131)
  • Mathematical Properties
  • Correlation
Week 7: 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
  • Analysis, Calculating the DFT
  • Duality, Polar Notation (up to page 164)
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