Academics > Masters & Ph.D. > Qualifying Exam Syllabi

Signal and Image Processing

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

Convolution
Fourier Transforms
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.

STOCHASTIC PROCESSES

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 edition) 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

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