Original_data[i] = 6 * cos(3 * 2 * PI * i / N) + 4 * sin(7 * 2 * PI * i / N);
>czt.exe -N27
Original
data
Fourier transform
Inverse transformation
0 | 6.0000000 0.0000000 | -0.0000000 0.0000000 | 6.0000000 0.0000000
1 | 8.5894993 0.0000000 |
0.0000000 0.0000000 | 8.5894993
-0.0000000
2 | 0.5775174 0.0000000 |
-0.0000000 0.0000000 | 0.5775174
-0.0000000
3 | -6.9392310 0.0000000 | 81.0000000 0.0000000 | -6.9392310 0.0000000
4 | -4.7156922 0.0000000 |
-0.0000000 0.0000000 | -4.7156922
0.0000000
5 | -1.8061977 0.0000000 |
-0.0000000 -0.0000000 | -1.8061977 -0.0000000
6 | -4.3680806 0.0000000 |
-0.0000000 -0.0000000 | -4.3680806
0.0000000
7 | -2.6309754 0.0000000 | -0.0000000 -54.0000000 | -2.6309754 -0.0000000
8 | 6.3914634 0.0000000 |
0.0000000 0.0000000 |
6.3914634 0.0000000
9 | 9.4641016 0.0000000 |
-0.0000000 0.0000000 |
9.4641016 0.0000000
10 | 2.3982307 0.0000000 |
-0.0000000 -0.0000000 | 2.3982307
-0.0000000
11 | -2.1666037 0.0000000 |
0.0000000 -0.0000000 | -2.1666037 -0.0000000
12 | -0.4288496 0.0000000 |
-0.0000000 0.0000000 | -0.4288496
0.0000000
13 | -2.7286612 0.0000000 |
0.0000000 0.0000000 | -2.7286612
0.0000000
14 | -8.5476503 0.0000000 |
-0.0000000 0.0000000 | -8.5476503
-0.0000000
15 | -5.5711504 0.0000000 |
-0.0000000 -0.0000000 | -5.5711504
0.0000000
16 | 4.2503818 0.0000000 |
0.0000000 0.0000000 | 4.2503818
-0.0000000
17 | 6.7943026 0.0000000 |
0.0000000 0.0000000 | 6.7943026
-0.0000000
18 | 2.5358984 0.0000000 |
-0.0000000 -0.0000000 | 2.5358984
-0.0000000
19 | 2.8010699 0.0000000 |
0.0000000 -0.0000000 | 2.8010699
0.0000000
20 | 4.7147535 0.0000000 | -0.0000000 54.0000000 | 4.7147535 -0.0000000
21 | -1.6319194 0.0000000 |
0.0000000 0.0000000 | -1.6319194
0.0000000
22 | -9.4701138 0.0000000 |
0.0000000 -0.0000000 | -9.4701138 -0.0000000
23 | -6.5606192 0.0000000 |
-0.0000000 -0.0000000 | -6.5606192 -0.0000000
24 | 0.9392310 0.0000000 | 81.0000000 0.0000000 | 0.9392310 0.0000000
25 | 1.5062607 0.0000000 |
0.0000000 -0.0000000 | 1.5062607
0.0000000
26 | 0.6030340 0.0000000 |
0.0000000 -0.0000000 | 0.6030340
0.0000000
The result of comparing the original data and the inverse transformed data
is Matched.
Fourier_transform[0]： 直流成分
Fourier_transform[3], : Fourier_transform[24]： 6 * cos(3 * 2 * PI * i / N);
Fourier_transform[7], : Fourier_transform[20]： 4 * sin(7 * 2 * PI * i / N);
直流成分を追加する例
Original_data[i] = 1 + 6 * cos(3 * 2 * PI * i / N) + 4 * sin(7 * 2 * PI * i / N);