I seem to recall that, if you play the recording back backwards and re-record it through a similar machine, the phase problem solves itself and the square wave is square again.fazer said:Run a Square wave through a Tape recorder and look at the shape of the wave. The Theory I have heard over the years is that the high frequency lags the low frequency.
Balijon, what you describe is a cr*p digital system. On a good digital system, distortion doesn't increase as you go down in level; only the S/N gets worse ... just like a good analog system.Balijon said:Although digital recording certainly has its merits, it has a fundamental problem that has not yet been resolved after 3 decades: The lower the level, the less bits you have available to describe the wave-patern. Relative distortion increases when level goes down. These factors are most clearly noticeable when you digitally record a (analog!) reverb decay like from a church. Clearly you loose detail in low level details in digital recorded material. If you mix digitally then these effects are enhanced by 'bit chopping' of the low level material when you reduce mix-level of a track. Analog mixing does not change the wave-patern this way and it clearly has more detail in the low level spectrum in my opinion.
Balijon said:Although digital recording certainly has its merits, it has a fundamental problem that has not yet been resolved after 3 decades: The lower the level, the less bitts you have available to describe the wave-patern.
Andy Peters said:Balijon said:Although digital recording certainly has its merits, it has a fundamental problem that has not yet been resolved after 3 decades: The lower the level, the less bitts you have available to describe the wave-patern.
That is so not true.
-a
So to clearly make a statement that may be flamed, but is technically true:
If I have two converters:
- One 16bit with 5V input
- One 14bit with 5V input
If I feed a 1.25V wave-patern to the 16bit converter it has the same resolution quality as feeding the same wave-patern at 5V to the 14bit converter.
Balijon said:So to clearly make a statement that may be flamed, but is technically true:
If I have two converters:
- One 16bit with 5V input
- One 14bit with 5V input
If I feed a 1.25V wave-patern to the 16bit converter it has the same resolution quality as feeding the same wave-patern at 5V to the 14bit converter.
Balijon said:Andy Peters said:Balijon said:Although digital recording certainly has its merits, it has a fundamental problem that has not yet been resolved after 3 decades: The lower the level, the less bitts you have available to describe the wave-patern.
That is so not true.
-a
If you have a 16 bit A/D converter with a maximum input level of 5V, it has 65536 fixed steps to measure (0.000076 V/step) as resolution.
If you feed a wave-patern of 5V it uses all 65536 steps to describe it. (effectively all 16 bits)
If you feed a wave-patern of 2.5V it uses 32768 steps to describe it. (effectively 15 bits)
If you feed a wave-patern of 1.25V it uses 16384 steps to describe it. (effectively 14 bits)
If you feed a wave-patern of 0.625V it uses 8192 steps to describe it. (effectively 13 bits)
etc..
The lower the signal level, the less steps are used to describe the wave-patern. (= fewer actual bits used of the available bits in the converter)
So your relative accuracy to describe the wave-patern gets lower if your signal level gets lower. (I call this increase in distortion)
EDIT: every 6dB signal reduction results in 1-bit less resolution being used to describe the wave-patern
So to clearly make a statement that may be flamed, but is technically true:
If I have two converters:
- One 16bit with 5V input
- One 14bit with 5V input
If I feed a 1.25V wave-patern to the 16bit converter it has the same resolution quality as feeding the same wave-patern at 5V to the 14bit converter.
grT
In order to make a 14-bit signal have as much resolution as a 16-bit signal, the dither amplitude would have to be very large, for it to blur the two LSB's of the 16-bit. If I follow your line of thought, one could make an 8-bit signal as resolvant as a 16-bit... that is mind-challenging to say the least.Kingston said:Balijon said:So to clearly make a statement that may be flamed, but is technically true:
If I have two converters:
- One 16bit with 5V input
- One 14bit with 5V input
If I feed a 1.25V wave-patern to the 16bit converter it has the same resolution quality as feeding the same wave-patern at 5V to the 14bit converter.
That's how a naive theoretical converter works ie. truncation. This is also how integer signals without scaling work on digital formats (fast becoming obsolete even on DSP ships). This idea of truncation is an easy mistake to make when observing AD-conversion on paper and with no actual knowledge of how the conversion works. But it doesn't take into account at all how noise shapes the incoming signal, which is exactly what happens when recording on an analog media as well. But we can have perfect control over this phenomenon on digital side.
Google "dither".
It's not exactly the easiest of topics to grasp but these days even the cheapest of converters employ some kind of dithering schemes. At its simplest form, dither is just the noise floor of the incoming signal.
PS. I also remember the age old "stair step view" of digital signal in school books which doesn't take into account either bandwidth or noise. This is how two important myths were born: the truncation myth you described, and the "more stair-steps equal better audio" like even Motu used to advertise their products. Which conveniently forgets our most important friend Nyquist.
Kingston said:PS. I also remember the age old "stair step view" of digital signal in school books which doesn't take into account either bandwidth or noise. This is how two important myths were born: the truncation myth you described, and the "more stair-steps equal better audio" like even Motu used to advertise their products. Which conveniently forgets our most important friend Nyquist.
Yes, of course there are parts close to 0V, they are coded equally, because the steps are 'fixed / linear'.Andy Peters said:You do realize that a full-scale sine wave (for example) will have parts of the signal that are very near 0V? Are you saying, then, that that part of the signal isn't coded reasonably?
correct, the word-length always stays 16-bits, but the amount of bits used to describe the wave-patern depends on the amplitude of the signalIf your word length is 16 bits, it takes 16 bits to code the sample, regardless of amplitude.
Yep, and here is where analog and digital are different in the way they behave.Consider the converter reference voltage to be the same as an analog power-supply rail. Both set the maximum amplitude. If you have a 5V rail, and a 100 mV signal, then by your logic, you're "throwing away" something if the signal isn't swinging to the rail.
The point I am trying to make is not about noise floor, it is about relative accuracy to describe the wave-patern, which decreases when amplitude is lower.The point, which I think you're missing, is that the quantization noise of a modern 24-bit converter is at or below the analog noise floor, so your concerns are probably misplaced.
-a
Not so.Balijon said:Analog does not change the wave-patern when the amplitude is lowered. (only the S/N gets worse)
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