ECE 2200 / Spring 2009: Assignment One Epilogue
Correlation
Assignment One Epilogue
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Problem 1
A “favorite” marker sequence is one that has the sharpest transition from its
zero values to its peak. These marker sequences would result in correlations
in which it is easier to pick a match, whereas sequences with more gradual
transitions to their peaks lead to less “decisive” matches.
Optimal marker sequences have been calculated and published in the past.
For marker lengths of 3 to 48, we can refer to Figure 1. See the URL provided
for more details. For example, an optimal 7 element marker would be [1 1 1 1
1 1 1].
Figure 1: Optimal Markers
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1
Updated February 15, 2009
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http://www.iop.org/EJ/article/03054470/29/18/005/ja29018l5.html
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Problem 2
All of the claims are correct, although there are some obscure exceptions. Notice
that for a vertical cosine vector
ζ
of any frequency
F
and any length
N
where
F
6
=
N
2
and
F
6
= 0, there are two nonzero deltas in the multiplication of
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 Spring '05
 JOHNSON
 Addition, Dot Product, Euclidean vector

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