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Listing 6 shows the output data values for this sinc function. (Note that the actual output from the program is a single long string. I manually inserted linebreaks every eight values to force the material to fit in this narrow presentation format. That also matches up with the zero crossings mentionedabove.)
If you examine this data, you will see that it supports the conclusions that were reached above based solely on the audio. For example, the first value on every line exceptthe eleventh line is either 0.0 or -0.0. On that line, the first value is 1.571, which is the largest value in the entire set of values. That value occurs at the center ofthe set of values and matches the peak frequency in the audio.
The values on both sides of that value are 1.531. This suggests that the symmetry conclusion reached above is probably correct. Further comparison of the corresponding values will confirm the symmetry andmirror image conclusion reached above .
Listing 6 . Contents of the output file named Sinc01.txt. |
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-0.0,-0.019,-0.036,-0.048,-0.053,-0.049,-0.038,-0.021,
0.0,0.022,0.04,0.054,0.059,0.055,0.043,0.024,-0.0,-0.024,-0.046,-0.061,-0.067,-0.063,-0.049,-0.027,
0.0,0.028,0.052,0.07,0.077,0.072,0.057,0.031,-0.0,-0.033,-0.061,-0.082,-0.091,-0.086,-0.067,-0.037,
0.0,0.039,0.074,0.1,0.111,0.106,0.083,0.046,-0.0,-0.049,-0.094,-0.127,-0.143,-0.137,-0.109,-0.061,
0.0,0.067,0.129,0.176,0.2,0.195,0.157,0.09,-0.0,-0.102,-0.202,-0.284,-0.333,-0.336,-0.283,-0.17,
0.0,0.219,0.471,0.739,1.0,1.232,1.414,1.531,1.571,1.531,1.414,1.232,1.0,0.739,0.471,0.219,
0.0,-0.17,-0.283,-0.336,-0.333,-0.284,-0.202,-0.102,-0.0,0.09,0.157,0.195,0.2,0.176,0.129,0.067,
0.0,-0.061,-0.109,-0.137,-0.143,-0.127,-0.094,-0.049,-0.0,0.046,0.083,0.106,0.111,0.1,0.074,0.039,
0.0,-0.037,-0.067,-0.086,-0.091,-0.082,-0.061,-0.033,-0.0,0.031,0.057,0.072,0.077,0.07,0.052,0.028,
0.0,-0.027,-0.049,-0.063,-0.067,-0.061,-0.046,-0.024,-0.0,0.024,0.043,0.055,0.059,0.054,0.04,0.022,
0.0,-0.021,-0.038,-0.049,-0.053,-0.048,-0.036,-0.019,-0.0, |
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