IIRC, the discussion back then covered some topics like distortions created with polynomial functions, etc. Although DC isn’t a real problem in practical applications, there are many cases, which are hard to predict, if they cause aliasing. A good example is FM, which spectra can be predicted using Bessel functions, but who wants to do that? Or wave shaping using atan() or other transcendent functions. I think, there was a conclusion, that there are cases, which aren’t covered so well by theory, but the impact on the application can be overseen.
Steffan > On 08.06.2015|KW24, at 10:35, Victor Lazzarini <victor.lazzar...@nuim.ie> > wrote: > > Not sure I understand this sentence. As far as I know the FT is defined as an > integral between -inf and +inf, so I am not quite > sure how it cannot capture infinite-lenght sinusoidal signals. Maybe you > meant something else? (I am not being difficult, just > trying to understand what you are trying to say). > ======================== > Dr Victor Lazzarini > Dean of Arts, Celtic Studies and Philosophy, > Maynooth University, > Maynooth, Co Kildare, Ireland > Tel: 00 353 7086936 > Fax: 00 353 1 7086952 > >> On 8 Jun 2015, at 08:19, vadim.zavalishin >> <vadim.zavalis...@native-instruments.de >> <mailto:vadim.zavalis...@native-instruments.de>> wrote: >> >> It might seem that such signals are unimportant, however even the infinite >> sinusoidal signals, including DC, cannot be treated by the sampling theorem, >> since the Dirac delta (which is considered as their Fourier transform) is >> not a function in a normal sense and strictly speaking Fourier transform >> doesn't exist for these signals. > -- dupswapdrop -- the music-dsp mailing list and website: subscription info, FAQ, source code archive, list archive, book reviews, dsp links http://music.columbia.edu/cmc/music-dsp http://music.columbia.edu/mailman/listinfo/music-dsp
