Digital Drive

Is single sample of 44.1kHz sampled data audible?

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dave789

On the web page I linked, they are discussing about the response of DA converters to single sample at 0dBFS, 44.1kHz sampled data.
They are talking about the harm of the pre-ringing.

Since we can hear only up to 20kHz, I think both the main pulse and the ringing are inaudible.

Is 1/44100 second length square impulse audible - no matter whether there is DA conversion artifact or not -?
Stereophile: response to single sample, 44.1kHz sampled data (Open in New Window)

Follow Ups:

RE: Is single sample of 44.1kHz sampled data audible? - knewton 07:30:11 03/27/12 (0)
I'm not exactly clear on what has prompted this question for you. I will say, however, that the half-wave 'pulse' appearing at the center of a sinc filter impulse response implies a full-wave periodic frequency of 22.05kHz, and shouldn't, itself, be audible. I've empirically determined the sinc filter's impulse ringing to extend down to somewhere between 19kHz--20kHz, and not narrowly limited to 22.05kHz. Furthermore, I'm convinced that a typical sinc filter's impulse response ringing indirectly generates unpleasantly audible side effects across a digital audio recording/playback chain, even though the ringing frequency of such filters is near the lower edge of the ultrasonic band.

_
Ken Newton

Edits: 03/27/12
RE: Is single sample of 44.1kHz sampled data audible? - untangle 23:30:08 03/26/12 (0)
Mathematically, the limiting case of a 0dB single-sample pulse is called a "Dirac delta function."

If you web search, you'll find that its FFT = 1 (a constant). Hence, it contains all frequencies (theoretically).

It is a near-perfect mathematical excitation function.

In the real world, it will "pop" the speaker.

Bob
RE: Is single sample of 44.1kHz sampled data audible? - Tony Lauck 15:58:17 03/13/12 (0)
Definitely. If it's the most significant bit you will hear a loud click if the music is quiet. If it's the low order bit and it's only a single sample it will probably be inaudible. I had no trouble hearing a single sample that was 35 dB below maximum when listening with the volume control set at a normal setting.

Tony Lauck

"Diversity is the law of nature; no two entities in this universe are uniform." - P.R. Sarkar
If It's of Amplitude Value other than 0.0dB.......... - Todd Krieger 22:24:21 03/12/12 (2)
You'll hear a "snap" sound.
- What's the FT of the input minus the output? - dave789 06:26:21 03/13/12 (1)
  I see.
  I am still curious what the Fourier transform (the theoretical FT)
  of the difference,
  (
  (the input, 1/44100 second length square pulse)
  -
  (the output of it by a typical DAC such as Benchmark DAC 1 in Fig. 1 in the Stereophile web page I linked before)
  ),
  is.
  How much content does the difference have below 20kHz?
  
  Edits: 03/13/12
  - RE: What's the FT of the input minus the output? - Todd Krieger 00:41:10 03/14/12 (0)
    Not sure what you're getting at......... The FT of a single unfiltered short-duration square "pulse" in the time domain is a stretched-out "sinc function" in the frequency domain....... But in this application, not particularly useful.
    The output of a single pulse is typically the pulse convolved with a windowed "sinc function" over the time domain......... (This has nothing to do with the "sinc function" mentioned above.) The FT of that is the frequency response of the DAC, which is brickwall under this circumstance.
    
    Edits: 03/14/12

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