Introduction to the Course

• MECHANICS
  • Course descriptor
  • Other handouts: also available on the course Web page
  • Problem sets
    • Problems are useful only if you work them.
    • MATLAB and MATHEMATICA will be required sometimes.
  • Textbooks
    • Theory: Dan Dudgeon and Russell Mersereau, Multidimensional Digital Signal Processing, Prentice-Hall, 1984. Book is out of print.
    • Applications: Alan C. Bovik, ed., Handbook on Image and Video Processing, 2nd ed., Academic Press, ISBN 0-12-119792-1, 2006.
  • Project
    • 50% of the grade
    • Half of the project (grade) is a literature survey submitted in both written and oral form
    • Half of the project (grade) is a final project that includes an implementations and is submitted in both written and oral form
    • Get started as soon as possible
• GOALS
  • Develop insight to solve problems.
    • Filling in the details is easy once you know what the answer is.
  • Explore similarities and differences with 1-D
  • Learn specific techniques
    • These will be forgotten, but insight should remain.
  • Reinforce what has already been learned for 1-D.
  • Explore some applications.
• WHAT IS THE DIFFERENCE ?
  • Many things are the same.
    • Concepts generalized, details change.
  • Some mathematics does not generalize.
    • Polynomials do not factor.
  • Application assumptions different
    • Not causal
    • Inputs finite extent
  • Problems are bigger
    • 1-D example CD audio: 44.1 kHz $\times$ 2 channels $\times$ 2 bytes/sample = 176.4 kbytes/sec.
      M-D example high-definition TV (1080p): $1920 \times 1080 \times 60$ frames/sec $\Rightarrow$ 124.4 million color samples/sec $\Rightarrow$ 373.2 Mbytes/sec
    • Processor speed? Memory? Addressing capability?