Databases Reference
In-Depth Information
T A B L E 13 . 2
Transformed sequence.
First Coordinate
Second Coordinate
182
3
202
0
162
0
184
−
2
141
−
4
218
1
174
−
4
121
−
6
90
−
7
161
10
163
−
9
153
−
6
181
−
9
135
−
15
T A B L E 13 . 3
Reconstructed sequence.
Height
Weight
68
169
75
188
60
150
68
171
53
131
81
203
65
162
45
112
34
84
60
150
61
151
57
142
67
168
50
125
elements present in the original sequence, this “reconstructed” sequence is very close to the
original. The reason there is so little error introduced in the sequence
{
x
n
}
is that for this
particular transformation the error introduced into the
{
x
n
}
sequence is equal to the error
introduced into the
{
θ
n
}
sequence. That is,
N
−
1
N
−
1
2
0
(θ
i
−
θ
i
)
2
0
(
x
i
−ˆ
x
i
)
=
(7)
i
=
i
=
where
{ˆ
x
n
}
is the reconstructed sequence, and
θ
i
i
=
0
,
2
,
4
,...
θ
i
=
(8)
0 otherwise
