Subject: Re: JNDs for very high frequencies From: Kevin Austin <kevin.austin@xxxxxxxx> Date: Sun, 20 May 2012 14:25:39 -0400 List-Archive:<http://lists.mcgill.ca/scripts/wa.exe?LIST=AUDITORY>--Boundary_(ID_f3ZlU8SFWHKc+ZfrTFC0Bw) Content-type: text/plain; charset=windows-1252 Content-transfer-encoding: quoted-printable =46rom AUDITORY: >> On 2012, May 16, at 12:21 PM, H=E9bert Sylvie wrote: >>=20 >>> Dear All, >>>=20 >>> Does anybody know what is the just-noticeable-difference for = frequencies of 6kHz and 14kHz? >>> I am looking at JNDs for people not necessarily trained in = psychophysics. >>>=20 >>> Thanks, >>>=20 >>> Sylvie H=E9bert Some thoughts . . .=20 Perhaps the question is a little more complex if the source of the = testing signal is digital. It appears from the tables that I have that = the DACs and sampling rate would need to be 96kHz or even 192kHz, or = higher. An experience reported to me by Eldad Tsabary while teaching an = electroacoustics ear-training class was about JNDs and sampling rate. He = produced sample 'clicks' of different frequencies [in effect, a few = cycles long], and the differences created by different sampling rates = seems to be quite clearly audible for those whose hearing goes much = above 4kHz. The problem is shown in the table below. Working at 44.1kHz the frequencies between [eg] 4.7kHz and about 5 kHz = will all be represented by 9 samples; from 5.9kHz to 6.6kHz, by 7 = samples. There is slight improvement with a 48kHz sampling rate. At = 96kHz sampling rate, the error is 'simply' shifted up an octave. This is = important since the question is about JND up to 14kHz. A [not so simple] test of this would be to use two sine tone: one of 7.2kHz; one of 7.3kHz =95 four cycles of each and do this at 44.1kHz, 48kHz, 96kHz and 192kHz. Two 'tones' -- in = effect high frequency clicks, at four sampling rates. [At 44.1 and 48kHz, this works out to be about 24 samples=B1. It will = probably be necessary to adjust the last few samples to avoid an abrupt = drop [or rise] to the zero crossing. The abruptness of the return to the "0" state could cause ringing in the = loudspeaker.] It may be necessary to work at 384kHz for there not to be 'differences'. The literature I have read on this -- web press commentary, calls such = ideas ridiculous and [in effect] heretical. A [golden eared - my description] audio mastering person I have worked = with reports hearing "differences" in material mastered at 96kHz and = 192kHz. Having done some critical listening on his system, I believe = that this is likely perceptible. That aside, another step in this chain is to get the loudspeakers to be = used - I expect they would need to be in the $1000+ range, and place = them adjacent to each other, and then repeat the test listening for = differences in loudspeaker responses and coloration. On 2012, May 16, at 12:21 PM, H=E9bert Sylvie wrote: > Dear All, >=20 > Does anybody know what is the just-noticeable-difference for = frequencies of 6kHz and 14kHz? > I am looking at JNDs for people not necessarily trained in = psychophysics. >=20 > Thanks, >=20 > Sylvie H=E9bert --Boundary_(ID_f3ZlU8SFWHKc+ZfrTFC0Bw) Content-type: multipart/related; boundary="Boundary_(ID_IjxFxR7qMJB30m1CSa6DKg)"; type="text/html" --Boundary_(ID_IjxFxR7qMJB30m1CSa6DKg) Content-type: text/html; charset=windows-1252 Content-transfer-encoding: quoted-printable <html><head></head><body style=3D"word-wrap: break-word; = -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; = "><div>=46rom AUDITORY:</div><div><br></div><div><blockquote = type=3D"cite"><blockquote type=3D"cite">On 2012, May 16, at 12:21 PM, = H=E9bert Sylvie wrote:<br><br><blockquote type=3D"cite">Dear = All,<br><br>Does anybody know what is the just-noticeable-difference for = frequencies of 6kHz and 14kHz?<br>I am looking at JNDs for people not = necessarily trained in psychophysics.<br><br>Thanks,<br><br>Sylvie = H=E9bert</blockquote></blockquote></blockquote><br></div><div><br></div><d= iv><br></div><div>Some thoughts . . = . </div><div><br></div><div>Perhaps the question is a little more = complex if the source of the testing signal is digital. It appears = from the tables that I have that the DACs and sampling rate would need = to be 96kHz or even 192kHz, or higher.</div><div><br></div><div>An = experience reported to me by Eldad Tsabary while teaching an = electroacoustics ear-training class was about JNDs and sampling rate. He = produced sample 'clicks' of different frequencies [in effect, a few = cycles long], and the differences created by different sampling rates = seems to be quite clearly audible for those whose hearing goes much = above 4kHz.</div><div><br></div><div>The problem is shown in the table = below.</div><div><br></div><div><img = id=3D"d5661f57-cff8-41e3-ab2f-fb3cac18d482" height=3D"556" width=3D"494" = apple-width=3D"yes" apple-height=3D"yes" = src=3D"cid:97F73C8D-E2C1-4A8C-976E-15F325FC840A@xxxxxxxx"></div><div><= br></div><div>Working at 44.1kHz the frequencies between [eg] 4.7kHz and = about 5 kHz will all be represented by 9 samples; from 5.9kHz to 6.6kHz, = by 7 samples. There is slight improvement with a 48kHz sampling rate. At = 96kHz sampling rate, the error is 'simply' shifted up an octave. This is = important since the question is about JND up to = 14kHz.</div><div><br></div><div>A [not so simple] test of this would be = to use two sine tone:</div><div> one of = 7.2kHz; one of 7.3kHz</div><div> =95 four cycles = of each</div><div>and do this at 44.1kHz, 48kHz, 96kHz and 192kHz. Two = 'tones' -- in effect high frequency clicks, at four sampling = rates.</div><div><br></div><div>[At 44.1 and 48kHz, this works out to be = about 24 samples=B1. It will probably be necessary to adjust the last = few samples to avoid an abrupt drop [or rise] to the zero = crossing.</div><div><img id=3D"3f7ad039-f22f-415d-b129-7ac859d77ca8" = height=3D"298" width=3D"663" apple-width=3D"yes" apple-height=3D"yes" = src=3D"cid:6D569BB7-ADF7-49EC-9736-9C420475A810@xxxxxxxx"></div><div><= br></div><div>The abruptness of the return to the "0" state could cause = ringing in the loudspeaker.]</div><div><br></div><div><br></div><div>It = may be necessary to work at 384kHz for there not to be = 'differences'.</div><div><br></div><div>The literature I have read on = this -- web press commentary, calls such ideas ridiculous and [in = effect] heretical.</div><div><br></div><div>A [golden eared - my = description] audio mastering person I have worked with reports hearing = "differences" in material mastered at 96kHz and 192kHz. Having done some = critical listening on his system, I believe that this is likely = perceptible.</div><div><br></div><div><br></div><div>That aside, another = step in this chain is to get the loudspeakers to be used - I expect they = would need to be in the $1000+ range, and place them adjacent to each = other, and then repeat the test listening for differences in loudspeaker = responses and = coloration.</div><div><br></div><div><br></div><div><br></div><div><br></d= iv><div><br></div><div><br></div><br><div><div>On 2012, May 16, at 12:21 = PM, H=E9bert Sylvie wrote:</div><br = class=3D"Apple-interchange-newline"><blockquote type=3D"cite"><div>Dear = All,<br><br>Does anybody know what is the just-noticeable-difference for = frequencies of 6kHz and 14kHz?<br>I am looking at JNDs for people not = necessarily trained in psychophysics.<br><br>Thanks,<br><br>Sylvie = H=E9bert<br></div></blockquote></div><br></body></html>= --Boundary_(ID_IjxFxR7qMJB30m1CSa6DKg) Content-id: 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