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.L. Phillips and J.M. Parr, Signals, Systems, and Transforms, Chapters 1-7,9-11

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, Addison Wesley, 1992.

Chapter 3: Image Transforms
Chapter 4: Image Enhancement
Chapter 6: Image Compression
Chapter 7: Image Segmentation