EE114D
Introduction to Speech and Image Processing
Winter Quarter, 2008
Page 5 of 6
5. Huffman Coding (20 points)
Consider the performance of a basketball team that is participating in a tournament with
16 teams.
The tournament is single elimination – in other words, in the first round of
play, all 16 teams participate. The 8 winning teams advance to the 2
nd
round (which in
this example is also called the quarter finals). The 4 teams that win in the quarter finals
advance to the semi finals. The two teams that win in the semi finals play each other in
the finals, and the winner of that final game is the winner of the tournament.
Assume that the probability of a team winning or losing each game is exactly 1/2 (there is
no draw), and that the game results are independent of one another.
In other words, if a
team wins one game and advances to the next round, its probability of winning the next
game is 1/2. There are five possible outcomes for a basketball team in such a tournament.
These outcomes can be indicated using the letters A through E with the following
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 Spring '11
 VanSchaar
 Roundrobin tournament, Doubleelimination tournament, Singleelimination tournament, Elimination tournament

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