Biomedical Engineering Reference
In-Depth Information
TABLE 9.2:
Autocorrelation by Multiplication Method Incorrect Answer
t
0123456
f
1
DT
1
1
2
1.5
1
0.5
0
f
1
DT
1 1 2 1.5 1 0.5 0
0000000
0.5
0.5
1
0.8
0.5
0.3
0
1
1
2
1.5
1
0.5
0
1.5
1.5
3
2.3
1.5
0.8
0
2243210
1
1
2
1.5
1
0.5
0
1
1
2
1.5
1
0.5
0
1
2
5
7
9
9
7.3
5
2.5
1
0.3
0
0
incorrect answer is obtained as shown in the calculations of Table 9.2. The number
of terms in the results should equal twice the number of terms in the function. The
final results of the correlation operation are obtained by summing the column and
multiplying by the interval width. The graph of the correct calculation is shown in
Fig. 9.4; note that the autocorrelation function is an even function (symmetrical about the
y
-axis).
10
8
6
4
2
0
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
Time (
t
)
FIGURE 9.4
:
Correct calculation of autocorrelation. The graph shows the result of Table 9.1
calculations. Note that the autocorrelation function is an even function
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