As I remember it, the sampling theorem says that the sampling rate used to
sample a signal must be at least twice the highest frequency being sampled in
order to get a faithful reproduction when the samples are turned back into a
(continuous) output signal. In practice, because it is necessary
The application is music. I understand the basics, my question is in the
constraints that might be imposed on the signal or functon as referenced
by the theory. Is it understood to be repeating? for lack of a better term,
essentually just a mash of frequencies that bever change from start to
consider this from a wiki page
A bandlimited signal can be fully reconstructed from its samples, provided
that the sampling rate exceeds twice the maximum frequency in the
bandlimited signal. This minimum sampling frequency is called the Nyquist
rate. This result, usually attributed to
sorry about all the attachments, didn't see that coming.
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Hi Doug,
I think you’re overthinking this…
There is the frequency-sensitive requirement that you can’t properly sample a
signal that has frequencies higher than half the sample rate. For music, that’s
not a problem, since our ears have a significant band limitation anyway.
So, if we have a
There is the frequency-sensitive requirement that you can’t properly sample
a signal that has frequencies higher than half the sample rate. For music,
that’s not a problem, since our ears have a significant band limitation
anyway.
This is intuitive. I think perhaps what I'm asking has
It's my understanding that the fourier theory says any signal can be created
by summing various frequencies at various phases and amplitudes.
OK, now recall that the Fourier series describes a subset of “any signal” with
a subset of “various frequencies”. It’s more like one cycle of any
so is there a requirement for the signal to be periodic? or can any series
of numbers be cnsidered periodic if it is bandlimited, or infinit? Periodic
is the best word I can come up with.
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dupswapdrop -- the music-dsp mailing list and website:
subscription info, FAQ, source code archive,
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.
You're talking about Sinc filtering (ideal low pass filter), which is
essentially an IIR filter that needs infinite past and future samples.
In practice, a
On Mar 26, 2014, at 10:07 PM, Doug Houghton doug_hough...@sympatico.ca wrote:
so is there a requirement for the signal to be periodic? or can any series of
numbers be cnsidered periodic if it is bandlimited, or infinit? Periodic is
the best word I can come up with.
--
Well, no—you can
On 2014-03-26, Nigel Redmon wrote:
Maybe this would be interesting to some list members? A basic and
intuitive explanation of audio dither:
https://www.youtube.com/watch?v=zWpWIQw7HWU
Since it's been quiet and dither was mentioned... Is anybody interested
in the development of subtractive
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