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