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hw7.220.06 - ECE 220 Multimedia Signal Processing October 3...

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ECE 220 Multimedia Signal Processing October 3, 2006 Fall 2006 Homework 7 Assigned: October 3, 2006 Due: Monday, October 16 , by 4:30 pm in the 220 lock-box on the 2nd floor of Phillips Office hours: See the web page for everyone’s office hours: http://people.ece.cornell.edu/~hemami/ece220 Goals & concepts: Understanding spatial frequency and using the CSF. Understanding the DFT from both a summation perspective and a matrix multiplication perspective; practice with taking DFTs; understanding and use of the DFT as samples of the DTFT. Relevant text sections: Oppenheim & Schafer hand-out on the DFT (from Chapter 8 of “Discrete- Time Signal Processing,” Oppenheim, Schafer, and Buck) 1. Zebra or horse? You are on safari in Africa and the animal below happens to be out and about on the savannah the same day you are zipping around in your Toyota Land Cruiser. First consider that you are only looking at “area 1” on his torso. Even though his stripes are a square wave, let’s approximate them as a single sinusoid with 4 cycles. (a) Suppose you are at a distance of 100 feet. How many cycles/degree are in Area 1? (b) Can you perceive the stripes in area 1 at a distance of 100 feet (if yes, you will think he is a zebra. if no, you will think he is a gray horse)? If not, at what distance will area 1
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