Similarly, a weighting function was added to the median filter which had advantages for both de-crackling a recording and facilitating speech clarification by changing the " timbre " of the sound often required with forensic audio recordings.
42.
The simplest weighting function in common usage is based upon the inverse of the distance of the sample from the point to be estimated, usually raised to the second power, although higher or lower powers may be useful.
43.
Where W ( 0 ) is the surface weight, T ( 0 ) and T ( z ) are the temperatures at the surface and at the atmospheric level z and W ( z ) is the atmospheric weighting function.
44.
Channel 2 or TMT is broadly representative of the troposphere, albeit with a significant overlap with the lower stratosphere ( the weighting function has its maximum at 350 hPa and half-power at about 40 and 800 hPa ).
45.
This is done by choosing a narrow ideal filter impulse response function, e . g ., an impulse, and a weighting function which grows fast with the distance from the origin, e . g ., the distance squared.
46.
Where the inner product ( f, g ) is the standard function inner product with respect to some weighting function r ( x ) which is determined usually by the basis function set or arbitrarily according to whichever weighting function is most convenient.
47.
Where the inner product ( f, g ) is the standard function inner product with respect to some weighting function r ( x ) which is determined usually by the basis function set or arbitrarily according to whichever weighting function is most convenient.
48.
That is, people will be more sensitive to departures from impossibility and certainty ( from hope and fear ), but less sensitive to intermediate probability variations for affect-rich outcomes, resulting in larger jumps at the endpoints of the weighting function.
49.
The precise manner in which the rise and fall times are made less severe is not very critical, so the technique of adding cosine tapers to the compressed pulse spectrum ( as with the Tukey weighting function ) gives a similar improvement-of several dBs.
50.
In Experiment 2, the size of the affect-rich jump in the weighting function is much greater ( $ 500 $ 450 = $ 50 ) than the size of the affect-poor jump ( $ 500 $ 478 = $ 22 ).
