Biomedical Engineering Reference
In-Depth Information
3.
Place strips beside each other and multiply across the strips and write the
products
4.
Slide one strip, and repeat step 3, until there are no more products
5.
Sum the rows
6.
Multiply each sum by the interval width
9.4.2 Polynomial Multiplication Method
Another method is the polynomial multiplication method (Table 9.1). For this method,
the values of the function are written twice in two rows; one function is placed above
the other (reverse tabulated the second time the function is written) as in Table 9.1.
It should be noted that the functions are aligned as in normal multiplication; from
right to left. Reverse tabulation of the second function is important; otherwise, an
TABLE 9.1:
Autocorrelation by Multiplication Method Correct Answer
t
0123456
f
1
DT
1
1
2
1.5
1
0.5 0
f
1
RT
0
0.5
1
1.5
2
1
1
1
1
2
1.5
1
0.5 0
1
1
2
1.5
1
0.5
0
2243210
1.5
1.5
3
2.3
1.5
0.8
0
1
1
2
1.5
1
0.5
0
0.5
0.5
1
0.8
0.5
0.3
0
0000000
0
0.5
1.5
3.5
6.3
8
9.5
8
6.3
3.5
1.5
0.5 0
Note
: Original function (
f
1
); Time
t
; DT is Direct Transcription;
and RT is Reverse Transcription.
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