The original message came through for me. I think Stéphane moderates On Sun, Dec 20, 2020 at 7:26 PM Dario Sanfilippo <sanfilippo.da...@gmail.com> wrote:
> I had to drop the other thread because my message was 43k instead of 40k. > Shouldn't we raise that limit? I don't even know if there's actually > someone moderating those emails. > ------------------------- > > > Hi, Julius and Oleg. > > >> The question remains as to which filter form is more accurate. >> >> Another thing worth mentioning, by the way, is that tf2snp can be >> modulated, even using white noise for its coefficients, without affecting >> signal energy. >> That's the usual and original principal benefit of going to the >> normalized ladder form - "power-invariant modulatability". >> The superior numerical robustness for closely spaced poles was observed >> later and documented in the literature by Gray and Markel, as I recall. >> >> - Julius >> > > Below we have a simple test to see how much the filters diverge from the > expected 1/sqrt(2) attenuation at cut-off. The filters are tested with 12 > frequencies, the first 12 octaves starting at ~15.85 Hz. > > The values show the attenuation error in dBs. I'm calculating the RMS with > an.rms_envelope_tau(10) for a steady RMS calculation and I'm taking the > values after a thousand seconds to be sure that the RMS filters are fully > charged. I did the test at 96kHz SR, double precision. > > > We have: highpass(2), snp, svf_oleg, svf_zava. At least for the audible > spectrum, they all seem to perform pretty well. Hard to tell which one is > best for the time-invariant case, isn't it? > > Ciao, > Dario > > 15.8489323, > > 0.0035875327635620513, > > 0.0035875324371487105, > > 0.0035875327635620513, > > 0.0035875327636175625, > > 31.622776, > > 0.0013189248524392294, > > 0.0013189248481326743, > > 0.0013189248529810182, > > 0.0013189248528688857, > > 63.0957336, > > -0.00014836658605854591, > > -0.00014836659250561102, > > -0.00014836658607297881, > > -0.00014836658600858588, > > 125.89254, > > -0.00029188057887152841, > > -0.00029188057380447052, > > -0.00029188057895590536, > > -0.00029188057892148844, > > 251.188644, > > 0.00010734229401176965, > > 0.00010734229400843898, > > 0.00010734229401621054, > > 0.00010734229399067541, > > 501.187225, > > -0.0001285532826483804, > > -0.00012855328314131942, > > -0.00012855328263283727, > > -0.00012855328265393151, > > 1000, > > -2.7386120134975656e-05, > > -2.7386120134975656e-05, > > -2.7386120134975656e-05, > > -2.7386120134975656e-05, > > 1995.26233, > > 5.9325435514123726e-06, > > 5.9325435203261279e-06, > > 5.9325435536328186e-06, > > 5.9325435569634877e-06, > > 3981.07178, > > 1.4404616551222382e-05, > > 1.4404616547891713e-05, > > 1.4404616545671267e-05, > > 1.4404616547891713e-05, > > 7943.28223, > > -1.0056763050103612e-06, > > -1.0056763061205842e-06, > > -1.0056763072308073e-06, > > -1.0056763061205842e-06, > > 15848.9316, > > -1.1356025741982023e-05, > > -1.1356025744202469e-05, > > -1.13560257408718e-05, > > -1.1356025743092246e-05, > > 31622.7773 > > nan, > > 173.00064800561148, > > nan, > > nan > > -- > Dr Dario Sanfilippo > http://dariosanfilippo.com > _______________________________________________ > Faudiostream-users mailing list > Faudiostream-users@lists.sourceforge.net > https://lists.sourceforge.net/lists/listinfo/faudiostream-users > -- "Anybody who knows all about nothing knows everything" -- Leonard Susskind
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