Pat Farrell;231181 Wrote: 
> So, Sean, are you sure?
> 
> Since a square wave has infinite (to the closest approximation)
> bandwidth, how can nyquist sample it?
> 
> Unless, of course, you use an infinite sample rate.
> 
> If you sample a 20kHz square wave at 44.1kHz, you will get a sample
> than
> when you feed it back through a ADC will be a sine wave at 20kHz with
> a
> few harmonics.
> 
Sean is right.  A true square wave cannot exist in the real world.  All
real-world square waves must be bandwidth limited to exist.  So, one
could pick a Nyquist frequency that would perfectly sample any real
world square wave that could exist.  (This statement was brought to you
by your department of redundancy department.)  If you have a 20 KHz
square wave that's bandwidtch limited to 1 MHz and pick a Nyquist
frequency of 22.05 KHz, you've picked too low a Nyquist limit to
accurately reproduce the waveform.  But if you pick a Nyquist frequency
of above 1 MHz, the waveform can be reproduced exactly.

The debate should not be centered on whether sampled, bandwidth limited
waveforms can be reproduced accurately; given the proper parameters,
they can.  Rather it should be centered about what should be the
bandwidth limit and how it should be enforced.  How much do components
above 20 KHz matter to the average human?  What are the tradeoffs
involved in filter slope as the Nyquist limit gets farther from what is
important to the average human?


-- 
Timothy Stockman
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