Challenge_25_multirate_1 - The conversion ratio is...

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Digital Signal Processing Dr. Fred J. Taylor, Professor Lesson Title: Multirate Lesson Number [25] Challenge A sample rate converted is needed to convert a signal sampled at 48 kSa/s to one sampled at 40 kSa/s (both standard multimedia rates). How can this be accomplished? Q: What is the sample rate conversion ratio in reduced form? Response The conversion ratio is R=40000/48000 = 40/48 = 2 3 *5/2 4 *3. Therefore R=5/6 and the solution is shown below. Suppose a signal sampled at 44.1 kSa/s is to be converted into a signal 40 k Sa/s time series.
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Unformatted text preview: The conversion ratio is R=40000/44100 = 400/441 = 2 4 *5 2 /3 2 *7 2 . Therefore R=400/441 and the system would appear as shown below. Is this a good idea? How difficult would it be to design the anti-aliasing filter? Are there alternatives? 48 k Sa/s 5 240 k Sa/s Filter: BW=20kHz 6 240 k Sa/s 40 k Sa/s 44.1 k Sa/s 400 6.204 M Sa/s Filter: BW=20kHz 441 6.024 M Sa/s 40 k Sa/s Multirate 1 - 1...
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