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
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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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