When you are
extracting signals from noise, divergences take on great importance.
Now if we can only use a reverse Forier Transform analysis to try to
extract the signals from the noise like we did in cryptology...
And these are noisy time series, so can laud Vaughan Pratt for applying interesting signal processing techniques to
extract the signals from the noise.
Not exact matches
Obviously there are many confounding factors so the problem challenge is to
extract the temperature
signal and to thus distinguish the temperature
signal from the
noise caused by the many confounding factors.
The problem facing dendroclimatologists is to
extract whatever climatic
signal is available in the tree ring data and to distinguish this
signal from the background
noise.
Obviously there are many confounding factors so the problem is to
extract the temperature
signal and to distinguish the temperature
signal from the
noise caused by the many confounding factors.
In order to
extract the
signal of a planet in an image, there is a lot of interference I have to take out: the random
noise from the camera's own electronics, the scattered light around the coronagraph, and the rotation of the individual exposures.
If you take that calculated rho and generate stationary timeseries
from it, you are not mimicking merely the
noise, but also the structure caused by the
signal we are trying to
extract.
Stefan linked to Ray Bradley's fine book Paleoclimatology 3rd Ed, which painstakingly describes the challenges and techniques for
extracting signal from paleo
noise.
Whatever claim one makes about the information that can be
extracted from a
signal however aggressively filtered must be scaled by the log of 1 plus the
signal to
noise ratio.
All of the references which claim a high sensitivity are
extracting it
from data with an exceptionally low
signal to
noise ratio.
Later, when the
signal is
extracted from the random
noise,
from the measurement error and the deliberate measurement errors, and all of that
extracted from the millennium temperature changes, can the «chicken and egg» relationship be considered.
Obviously there are many confounding factors so the problem is to
extract the temperature
signal and to distinguish the temperature
signal from the
noise caused by the many confounding factors.
The problem facing dendroclimatologists is to
extract whatever climatic
signal is available in the tree - ring data
from the remaining background «
noise».
While litigants and law firms would no doubt like to use legal data to
extract some kind of informational
signal from the random
noise that is ever - present in data samples, the hard truth is that there will not always be one.