Haven't really been following the thread but I wonder if the sinusoid model
is really that good. Don't we actually want to match something like
SUM(k,1,N) e^jwkt
and might not harmonics help us from falling down to the noise floor?
On Mon, Aug 4, 2014 at 10:25 AM, Vadim Zavalishin
SUM(k,1,N) a_k e^jwkt even
On Wed, Aug 6, 2014 at 11:00 PM, Emanuel Landeholm
emanuel.landeh...@gmail.com wrote:
Haven't really been following the thread but I wonder if the sinusoid
model is really that good. Don't we actually want to match something like
SUM(k,1,N) e^jwkt
and might not
Sorry, meant to say
SUM(k,1,N) a_k e^jwk(t+p_k)
It would seem that phase should be important, especially if instaneous
frequency is desired
.
On Wed, Aug 6, 2014 at 11:01 PM, Emanuel Landeholm
emanuel.landeh...@gmail.com wrote:
SUM(k,1,N) a_k e^jwkt even
On Wed, Aug 6, 2014 at 11:00 PM,
I think it can be done simpler. Just extend the inverse Fourier
transform in the same way how the bilateral Laplace transform extends
the direct Fourier transform. Any mistake in that reasoning?
Regards,
Vadim
On 02-Aug-14 20:10, colonel_h...@yahoo.com wrote:
On Fri, 1 Aug 2014, Vadim
On Mon, 4 Aug 2014, Vadim Zavalishin wrote:
I think it can be done simpler. Just extend the inverse Fourier transform in
the same way how the bilateral Laplace transform extends the direct Fourier
transform. Any mistake in that reasoning?
Basically, allow t to be complex when you inverse
On Fri, 1 Aug 2014, Vadim Zavalishin wrote:
My quick guess is that bandlimited does imply analytic in the complex
analysis sense.
1st off, I am fairly sure it is true that a BL signal cannot be zero over
an interval, so two non-zero BL signals cannot differ by zero over an
interval, so a
On 01-Aug-14 05:22, colonel_h...@yahoo.com wrote:
On Fri, 18 Jul 2014, Sampo Syreeni wrote:
Well, theoretically, all you have to know is that the signal is
bandlimited. When that is the case, it's also analytic, which means
that an arbitrarily short piece of it (the analog signal) will be
Sorry, I meant Laplace transform of a timelimited signal.
On 01-Aug-14 10:06, Vadim Zavalishin wrote:
On 01-Aug-14 05:22, colonel_h...@yahoo.com wrote:
On Fri, 18 Jul 2014, Sampo Syreeni wrote:
Well, theoretically, all you have to know is that the signal is
bandlimited. When that is the
On Fri, 18 Jul 2014, Sampo Syreeni wrote:
Well, theoretically, all you have to know is that the signal is bandlimited.
When that is the case, it's also analytic, which means that an arbitrarily
short piece of it (the analog signal) will be enough to reconstruct all of it
as a simple power
On 2014-07-17, Ethan Duni wrote:
The thing about this approach is that it requires very strong prior
knowledge of the signal structure - to the point of saying quite a lot
about how it behaves over all time - in order to work.
Well, theoretically, all you have to know is that the signal is
Ethan Duni wrote:
..
The thing about this approach is that it requires very strong prior
knowledge of the signal structure -
That reminds me of theories for which the applicability in the end
appears to be such that the domain for the solution is the empty set...
If you know there's some
On 16-Jul-14 15:29, Olli Niemitalo wrote:
Not sure if this is related, but there appears to be something called
chromatic derivatives:
http://www.cse.unsw.edu.au/~ignjat/diff/
Seems pretty much related and going further in the same direction
(alright, I just briefly glanced at chromatic
Sinc interpolation would be theoretically correct, but, remember,
that this thread is not about strictily theoretically correct frequency
recognition, but rather about some more intuitive version with the
concept of instant frequency.
What is instant frequency? I have to say that I find this
This post explains the concept instantaneous frequency well: (It is basically
used to distinguish amplitude from phase)
http://math.stackexchange.com/questions/85388/does-the-phrase-instantaneous-frequency-make-sense
EZ
On Jul 17, 2014, at 6:40 PM, Ethan Duni ethan.d...@gmail.com wrote:
Sinc
it to generate controls for ... whatever: other oscillators,
filters ...
Giulio
Da: Ethan Duni ethan.d...@gmail.com
A: A discussion list for music-related DSP music-dsp@music.columbia.edu
Inviato: Venerdì 18 Luglio 2014 2:35
Oggetto: Re: [music-dsp] Instant
On 16-Jul-14 12:31, Olli Niemitalo wrote:
What does O(B^N) mean?
-olli
This is the so called big O notation.
f^(N)(t)=O(B^N) means (for a fixed t) that there is K such that
|f^(N)(t)|K*B^N
where f^(N) is the Nth derivative. Intuitively, f^(N)(t) doesn't grow
faster than B^N
Regards,
Vadim
I see, so the limiting case that turns the inequality to an equality
is a sinusoid (or a corresponding complex exponential). If the signal
is band-limited, it must be a bounded sum of those, and the
derivatives must thus also be bounded sums of derivatives of those,
and your criterion will be
On Thu, 10 Jul 2014, Vadim Zavalishin wrote:
From the BLEP discussion we know, that so
far this signal is just a generalized version of the DC offset, thus
containing only a zero frequency partial.
The ``no new partials'' rule comes from
integral exp(kx) = exp(kx)/k
so integration just
Hi all,
a recent question to the list regarding the frequency analysis and my
recent posts concerning the BLEP led me to an idea, concerning the
theoretical possibility of instant recognition of the signal spectrum.
The idea is very raw, and possibly not new (if so, I'd appreciate any
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