https://community.sw.siemens.com/s/article/the-gibbs-phenomenon
"*Addendum #2: Analog to Digital Converters* Sometimes there is confusion about a Successive Approximation Register (SAR) versus Sigma-Delta analog to digital converters and Gibbs phenomenon. Many Sigma-Delta converters have sharp anti-aliasing filters which prevent alias errors. But these sharp filters are not inherent to Sigma-Delta converters, any type of filter can be used. Using a filter with a gradual roll-off with any analog to digital converter reduces or eliminates the Gibbs phenomenon. The effect of the filter should not be confused with the type of analog to digital converter. In fact, a lowpass filter can even be used after the acquisition on a digitized signal containing Gibbs to remove the phenomenon." seems like your LPF in your ADC should 'remove' this artifact to undetectable levels if you're sampling from an analog source, but in software, it just depends on your windowing On Wed, Jun 24, 2020 at 11:47 AM Zhiguang Eric Zhang <zez...@nyu.edu> wrote: > here: > > https://community.sw.siemens.com/s/article/the-gibbs-phenomenon > > "*The Gibbs Phenomenon* > > [image: User-added image] > > To describe a signal with a discontinuity in the time domain requires > infinite frequency content. In practice, it is not possible to sample > infinite frequency content. The truncation of frequency content causes a > time domain ringing artifact on the signal, which is called the “Gibbs > phenomenon”." > > > > in order to eliminate the ringing artifact altogether, you'd need a hell > of an ADC, one that doesn't exist today (nor shall one ever exist to > eliminate the artifact). it is part sampling theory and there's no way > around it. > > On Wed, Jun 24, 2020 at 11:45 AM Corey K <corey...@gmail.com> wrote: > >> You don't have to sample the STFT that often. In fact block based FFT >> convolution uses non-overlapping blocks on the input (although the output >> windows do overlap). Anyway, I digress... >> >> On Wed., Jun. 24, 2020, 1:06 p.m. Zhiguang Eric Zhang, <zez...@nyu.edu> >> wrote: >> >>> It's not just about zero-padding. Say you could sample the signal and >>> window at, say, fs, but why the hell would you want to window at fs? At >>> any rate, if you look at the Hamming window, the ringing artifact is rather >>> negligible. >>> >>> >>> On Wed, Jun 24, 2020, 11:15 AM STEFFAN DIEDRICHSEN <sdiedrich...@me.com> >>> wrote: >>> >>>> Phew, thank you for confirming that! We use it in several products. >>>> >>>> Cheers, >>>> >>>> Steffan >>>> >>>> On 24.06.2020|KW26, at 17:07, Corey K <corey...@gmail.com> wrote: >>>> >>>> But the end result is that we can perform filtering using STFT >>>> filterbanks just fine, there are no artifacts. >>>> >>>> >>>> _______________________________________________ >>>> dupswapdrop: music-dsp mailing list >>>> music-dsp@music.columbia.edu >>>> >>>> https://urldefense.proofpoint.com/v2/url?u=https-3A__lists.columbia.edu_mailman_listinfo_music-2Ddsp&d=DwICAg&c=slrrB7dE8n7gBJbeO0g-IQ&r=w_CiiFx8eb9uUtrPcg7_DA&m=yZ5_ZeKmy3sswDToK2aeereR1JOnaPvsIiQIFV61n3s&s=CCun327jvXB9hliV_3DHUKwKgRVRi8xdsZyOtqHPAfw&e= >>> >>> _______________________________________________ >>> dupswapdrop: music-dsp mailing list >>> music-dsp@music.columbia.edu >>> https://lists.columbia.edu/mailman/listinfo/music-dsp >>> <https://urldefense.proofpoint.com/v2/url?u=https-3A__lists.columbia.edu_mailman_listinfo_music-2Ddsp&d=DwMFaQ&c=slrrB7dE8n7gBJbeO0g-IQ&r=w_CiiFx8eb9uUtrPcg7_DA&m=s95xHGQ6LAiwB1zMrc7VeayM-fKr760Or7TCJlScQfc&s=BZnqxM9Q-zTNeu_a0p-Ga9nEXBm6SL6VKtfeCmHRL80&e=> >> >> _______________________________________________ >> dupswapdrop: music-dsp mailing list >> music-dsp@music.columbia.edu >> >> https://urldefense.proofpoint.com/v2/url?u=https-3A__lists.columbia.edu_mailman_listinfo_music-2Ddsp&d=DwICAg&c=slrrB7dE8n7gBJbeO0g-IQ&r=w_CiiFx8eb9uUtrPcg7_DA&m=s95xHGQ6LAiwB1zMrc7VeayM-fKr760Or7TCJlScQfc&s=BZnqxM9Q-zTNeu_a0p-Ga9nEXBm6SL6VKtfeCmHRL80&e= > >
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