> Is the test signal, while possibly containing any number of wave compenents > at various frequencies, required to be continous ansd uniform? > > By this I mean you can't have frequencies jumping in and out, changing in > amplitude etc…
The only requirement is that it’s properly band limited, as Kenneth said. So for things jumping in and out, discontinuities, etc., the frequency components that lie under half the sample rate can stay—the ones above it have to go before you sample. In other words, from a time-domain point of view, the low pass filter that enforces that with smooth discontinuities by the amount needed, then you’re ready to sample. On Mar 26, 2014, at 8:42 PM, Doug Houghton <doug_hough...@sympatico.ca> wrote: > I can't seem to get to the bottom of this with the usual internet pages. > > Is the test signal, while possibly containing any number of wave compenents > at various frequencies, required to be continous ansd uniform? > > By this I mean you can't have frequencies jumping in and out, changing in > amplitude etc... > > I'm guessing this somehow scratches at the surface of what I've read about no > signal being properly band limited unless it's infinit. > > I fail to see how a readable proof is possible to explain exact > reconstruction of any real recording sound, whether it's music or crickets > chirping. > > I sort of see maybe how an infinit signal could solve some of these issues, > meaning any amplitude/frequency complexities over infinity may simply > resolve to something that can be bandlimited and described as a frequency of > a steady signal, something like that. > > Curouis, I am starting to suspect there is a lot of typical misconceptions > about what the math really proves, I can't read the equations I'm turning to > this list. > -- -- 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
