not to beat a dead horse but you get more stats here: https://www.dspguide.com/ch16/1.htm
(c) shows that the Blackman has a better *stopband attenuation*. To be exact, the stopband attenuation for the Blackman is -74dB (∼0.02%), while the Hamming is only -53dB (∼0.2%). Although it cannot be seen in these graphs, the Blackman has a *passband ripple* of only about 0.02%, while the Hamming is typically 0.2%. In general, the Blackman should be your first choice; a slow roll-off is easier to handle than poor stopband attenuation. On Wed, Jun 24, 2020 at 12:17 PM Zhiguang Eric Zhang <zez...@nyu.edu> wrote: > 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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