Student Info > Masters & Ph.D. > Qualifying Exam Syllabi
Signal and Image Processing (SIP)
Three SIP faculty will be examining students in four different SIP areas as listed below. The students should specify which 3 of the 4 areas they want to be covered in their exam and the available schedule during the exam week as soon as possible.
Linear Systems Theory
C. Phillips, J. Parr, and E. Riskin, Signals, Systems, and Transforms (3rd edition), Chapter 2-7, 9-12.
- Convolution
- Fourier Transforms
- Continuous and Discrete Time Systems
- Finding system inputs/outputs, system properties
Stochastic Processes
Y. Viniotis, Probability & Random Proc. for Electrical Engineers, McGraw Hill, 1998.
- Random Variables and Probability
- Probability fundamentals - one and multiple random variables, expectations, characteristic functions, independence/uncorrelatedness.
- Classification of random processes - 2nd order characterization (correlation, power spectral density), ergodicity, stationarity
- Filtering by LTI systems
- Special Processes - Markov Chains/Processes, Gaussian Processes.
Digital Signal Processing
A.V. Oppenheim, R.W. Schafer, J.R. Buck, /Discrete Time Signal Processing,/ (2nd edition) Prentice Hall 1999,
Or equivalently
A.V. Oppenheim, R.W. Schafer, J.R. Buck, /Discrete Time Signal Processing,/ (3rd edition) Pearson 2010.
Chapter 7: Filter Design Techniques
Chapter 8.4-8.9: The Discrete Fourier Transform
Chapter 9: Computations of Discrete Fourier Transform
Digital Image Processing
R.C. Gonzales and R.E. Woods, /Digital Image Processing,/ (3rd edition) Prentice Hall, 2008.
Chapter 2: Digital Image Fundamentals
Chapter 3: Intensity Transformations and Spatial Filtering
Chapter 4: Filtering in the Frequency Domain
Chapter 8: Image Compression
Chapter 9: Morphological Image Processing
Chapter 10: Image Segmentation