Final Exam Syllabus: Contents covered in Week 715.
*Marks of all the quizzes, midsemester 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 (1.3.11.3.2, 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: Inputoutput 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 (169171)
 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 185200)
 Multiplying Signals (Amplitude Modulation), DTFT (Page 204207)
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 WindowedSinc Filters (Chapter 16, Complete)
 Custom Filters: Arbitrary Frequency Response, Optimal Filters (Page 297300, 307310, 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 zTransform  The Nature of the sDomain (up to page 588, Chapter 32, Smith)
 Chapter 33, Smith, Pages 605619
 The Nature of the zDomain
 Analysis of Recursive Systems
 Cascade and Parallel Stages
Week 15: zTransform (continued): Chapter 3, Proakis Direct zTransform (3.1.1, complete)
 Properties of zTransform (3.2)
 Rational zTransform (3.3)
