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 (1.3.11.3.2, 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)
 InputOutput 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 highpass 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 169171)
 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 185200)
 Multiplying Signals (Amplitude Modulation) (Page 204206)
Week 12: FFT, Filters  Fast Fourier Transform (Page 225232, 237241, Chapter 12, Smith)
 Introduction to Digital Filters (Chapter 14, Smith)
 Moving Average Filters (Chapter 15, Smith)
Week 13: More into Filters WindowedSinc Filters (Chapter 16, Smith)
 Custom Filters (Page 297300, 307310, Chapter 17, Smith)
 Recursive Filters (Chapter 19, Smith)
Week 14: Laplace Transform and zTransform  Laplace Transform: The nature of sdomain (Page 581588, Chapter 32, Smith)
 zTransform: Chapter 3, Proakis
 The zTransform (3.1.1) [Inverse zTransform is excluded]
 Properties of zTransform (3.2, Proakis.). Only the following properties are included:
 Linearity
 Time shifting
 Scaling in the zdomain
 Time reversal
 Convolution of two sequences
 Correlation of two sequences
