[net.audio] CDs: why no square waves?

sjc@mordor.UUCP (06/12/84)

>now, back to my favorite passtime of flaming CD's....
> 
>If they are sooooo good, them how come they naver can produce a 
>square square wave?
>All of you out there who insist on seeing measurements and alike
>before evaluating something never seem to notice that a CD has
>never produced a (nearly) square wave.  Either they cannot produce one
>or the test disk was not properly written (and nobody is even trying
>to make a proper one)[test disk that is].
>Whay you all seem to miss is that the CD square wave has a decaying 
>sine wave across the top and bottom of the square where it is supposed
>to be flat.
>Even the SHURE V15 type II can produce a more square wave.

A square wave is equivalent to an infinite series of sinusoids. No
matter how perfectly a CD reproduces the components below 22kHz, it
cannot reproduce the components above 22kHz, so its square wave is
doomed.  The Shure V15 type II reproduces the components below 22kHz
more poorly than does the CD, but since it reproduces some components
above 22kHz (albeit even more poorly), its square wave looks "squarer".

I suggest, Mr. Pearson, that you perform two experiments, using a high
quality audio system. Find a signal generator which produces square
waves and sine waves of the same RMS amplitude. First, record a 10kHz
square wave at 0dB on a cassette and play it back, using a dual-trace
scope to compare the original with the copy. Then connect the signal
generator to the auxiliary input of your preamp, and alternately listen
to a 10kHz square wave and a 10kHz sine wave. In the first case, I find
the difference horrifying; in the second, it's almost imperceptible.

Analog tape recorders have a rough time of it: not only do they have
trouble reproducing high frequencies at full amplitude due to tape and
head saturation, they have phase-shift problems considerably messier
than those which have generated so much controversy with respect to CDs.

                                                           --Steve Correll
sjc@s1-c.ARPA, ...!decvax!decwrl!mordor!sjc, or ...!ucbvax!dual!mordor!sjc

charles@sunybcs.UUCP (Charles E. Pearson) (06/18/84)

[]
  But you missed the point...
  If the CD logic is sound it must reproduce a perfectly square wave
  given a properly generated square wave test disk.
 
  The sinusoidal properties that the square wave on CDs display
  is the perfect example of how the CD theory is either improperly
  executed or has a basic fault.

  They ring, and you know it.
  
  They are not as good as they are supposed to be.  Whether they are
  better than analogue technology is almost irrelivant except that
  mediocre examples of alalogue tech. produce better examples of what
  the digital tech. must produce better.
 
  CD get your basics correct first... this 'off by one' attitude will
  not be tollerated.

mat@hou5d.UUCP (M Terribile) (06/19/84)

Here we go again:

	But you missed the point...
	If the CD logic is sound it must reproduce a perfectly square wave
	given a properly generated square wave test disk.

	The sinusoidal properties that the square wave on CDs display
	is the perfect example of how the CD theory is either improperly
	executed or has a basic fault.

	They ring, and you know it.

If you put in a 1 Khz square wave, run the output through a filter with
perfect phase characteristics which cuts off sharply at 21 kHz, and view the
result, you will see a square wave with sinusoidal type ripples on it.  That's
all there is to it -- the 21st, 23rd, etc, harmonics of a 1kHz square wave are
large enough to be visible, less than 15 db down, and over 21 kHz.

It's true, some (but not all) of the filters used exhibit ringing.  Oversampled
players with combination digital and analog fiters do better than straight
analog filters.  The oversampling allows the corner frequences to be up
over 40hKz (hence less phase muck-up) and move much of their increased
quantitization up to the 176kHz area.  The digital filtering spreads the
reconstruction distortion both backwards and forwards in time, so that
the result looks more like what they showed you when you learned about
Fourier transforms.
-- 

					from Mole End
					Mark Terribile
		     (scrape..dig)	hou5d!mat
    ,..      .,,       ,,,   ..,***_*.

ark@rabbit.UUCP (Andrew Koenig) (06/19/84)

Charles E. Pearson says the following:

>  But you missed the point...
>  If the CD logic is sound it must reproduce a perfectly square wave
>  given a properly generated square wave test disk.
> 
>  The sinusoidal properties that the square wave on CDs display
>  is the perfect example of how the CD theory is either improperly
>  executed or has a basic fault.
>
>  They ring, and you know it.
>  
>  They are not as good as they are supposed to be.  Whether they are
>  better than analogue technology is almost irrelivant except that
>  mediocre examples of alalogue tech. produce better examples of what
>  the digital tech. must produce better.
> 
>  CD get your basics correct first... this 'off by one' attitude will
>  not be tollerated.

Sorry, Charlie, but I've got to disagree with you on this one.
If all the samples in a stream of digital samples up to some point
have the value X and all the samples after that point have the value Y,
you might expect the "correct" output to be perfectly square, with zero
rise time.

However, this is untrue in the presence of bandwidth limiting.
The square wave approximation now so familiar from CD player test reports
is the best possible approximation to a square wave that fits within
the bandwidth limitations of the system.

To put it differently, suppose you had an INPUT signal that looked
like one of these ringy square wave approximations.  The samples taken
from this signal would be indistinguishable from those taken from a true
square wave.  Thus, if you get the square wave "right," you do so
only at the cost of getting some other legitimate (i. e. one that fits
entirely within the prescribed bandwidth) wrong.

In other words, attempts to reproduce square waves result in ringing,
not because the theory is wrong or improperly executed, but because
that is what the theory says should happen.

By the way, 'tolerated' has only one l.


				Andrew Koenig