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
Continuous and Discrete Time Systems
finding system inputs/outputs, system properties
C. Phillips, J. Parr, and E. Riskin, Signals, Systems, and
Transforms (3rd edition), Chapter 2-7, 9-12.
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.
Y. Viniotis, Probability & Random Proc. for Electrical
Engineers, McGraw Hill, 1998.
DIGITAL SIGNAL PROCESSING
A.V. Oppenheim, R.W. Schafer, J.R. Buck, Discrete Time Signal
Processing, Prentice Hall 1999
Chapter 7: Filter Design Techniques
Chapter 8.4-8.10: The Discrete Fourier Transform
Chapter 9: Computations of Discrete Fourier Transform
DIGITAL IMAGE PROCESSING
R.C. Gonzales and R.E. Woods, Digital Image Processing, (2nd
Prentice Hall, 2002.
Chapter 2: Digital Image Fundamentals
Chapter 3: Image Enhancement in the Spatial Domain
Chapter 4: Image Enhancement in the Frequency Domain
Chapter 8: Image Compression
Chapter 10: Image Segmentation