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To: TexasGator

No need. it is mathematically proven that digital audio recordings can be reproduced 100% faithfully as long as the sampling rate is at least twice as high as the highest audio frequency. No one on this planet can hear a frequency of 20.5 kHz or greater. Personally I can’t hear anything above 12.5kHz.


30 posted on 09/11/2019 2:35:20 PM PDT by Blood of Tyrants (Everyone who favors socialism plans on the government taking other people's money, not theirs.)
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To: Blood of Tyrants

“No need. it is mathematically proven that digital audio recordings can be reproduced 100% faithfully as long as the sampling rate is at least twice as high as the highest audio frequency. No one on this planet can hear a frequency of 20.5 kHz or greater. Personally I can’t hear anything above 12.5kHz.”

I learned about the Nyquist frequency but you really need some schooling on this subject!

The audio reproduction cannot be 100% faithfully reproduced to 20khz using a 44.1 kHz sampling rate.


40 posted on 09/11/2019 2:42:14 PM PDT by TexasGator (Z1z)
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To: Blood of Tyrants

I learned about the Nyquist frequency over 40 years ago.

I spent my career as a Test Engineer sampling data.


42 posted on 09/11/2019 2:44:07 PM PDT by TexasGator (Z1z)
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To: Blood of Tyrants

I learned about the Nyquist frequency over 40 years ago.

I spent my career as a Test Engineer sampling data.


43 posted on 09/11/2019 2:44:07 PM PDT by TexasGator (Z1z)
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To: Blood of Tyrants
The real world. A very good article. The difficulty with the Nyquist-Shannon sampling theorem is that it is based on the notion that the signal to be sampled must be perfectly band limited. This property of the theorem is unfortunate because no real world signal is truly and perfectly band limited. In fact, if a signal were to be perfectly band limited—if it were to have absolutely no energy outside of some finite frequency band—then it must extend infinitely in time. http://wescottdesign.com/articles/Sampling/sampling.pdf
61 posted on 09/11/2019 5:35:01 PM PDT by TexasGator (Z1z)
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To: Blood of Tyrants

“No need. it is mathematically proven that digital audio recordings can be reproduced 100% faithfully as long as the sampling rate is at least twice as high as the highest audio frequency. “

We have gone through several reasons why this is not true. Now I present another via an exercise.

Draw a sine wave of three cycles. Now plot ‘sampling points’ at 2.1x the wave frequency.

Connect the dots and you will see!

By the way, you say at least twice the frequency. Try plotting that starting at zero degrees on the sine signal. The resulting output will be 0 0 0 0 0 0 0.


74 posted on 09/13/2019 11:32:09 AM PDT by TexasGator (Z1z)
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To: Blood of Tyrants

Here is an old discussion but presents real world problems of digital sampling. The comments are worth reading.


75 posted on 09/13/2019 11:51:16 AM PDT by TexasGator (Z1z)
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To: Blood of Tyrants

oops!

http://www.earlevel.com/main/1996/10/19/digital-audio-theory-and-reality/


76 posted on 09/13/2019 2:57:51 PM PDT by TexasGator (Z1z)
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