smooth

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Apply a smoothing to the vector x.

Usage
smooth(x {, type=0 {, m=1 {, s=1}}})
x
data vector
m
smoothing length; 0 < m <= nrow(x)/2 (default=1)
type
selects the smoothing algorithm (default=0)
s
output step size; 0 < s <= nrow(x)/2 (default=1)
Description

The smoothed value xs[i] is computed from the data values x[i-m] to x[i+m]. The general form of the smoothing function is:

{\displaystyle xs[i]={\frac {\sum _{j=-m}^{m}{x[i+j].w[j]}}{\sum _{j=-m}^{m}{w[j]}}}}
The weights w[i] are selected by the argument type
type weights
0 {\displaystyle w[j]=1}
1 {\displaystyle w[j]={\frac {1}{|j|+1}}}
Result
A vector r with nrow(x)/s elements. The value r[j] is set to the value xs[j*s] of the smoothed data vector.

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