Week of 11/5
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+ | This amounts to taking samples of the data every <math>1/2f_s</math> and multiplying them by a sinc function and adding up the results. | ||
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+ | {{mathematica|filename=Sincinterpolation.nb|title=Sinc function interpolation via the samping theorem}} |
Revision as of 16:30, 5 November 2007
Here is the display of my oscilloscope when the input is a 1000 pulse per second output of a time-code generator. (The time-code generator is a device that locks to the 10 MHz output of an atomic clock and produces 1 Hz or 1 KHz pulse trains as well as human readable time synchronized to the atomic standard.)
I imported the data and plotted it along with its periodogram.
Notice that only the odd harmonics are present.
Here is a mathematica notebook that simulates this.
Download lots of fourier transform examples |
Sampling theorem. See 10/31/07 lecture notes
We end up with
This amounts to taking samples of the data every 1 / 2fs and multiplying them by a sinc function and adding up the results.
Download Sinc function interpolation via the samping theorem |