wsum

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Calculate the weighted sum over one or more user-defined extents of a function y = f(x). Depending on the number of extents, the result of the function is a vector or a scalar.

Usage
wsum(x, y, w, s, us, os, n)
wsum(x, y, w, s, uv, ov)
wsum(x, y, w, s, rv)
wsum(x, y, w, s, rm)
x, y
the x- and y-data vector: y[i] = f(x[i])
w
defines the type of the weighting function
w=0 no weight (rectangle)
w=1 triangle
w=2 hanning window
w=2 hamming window
s
if this argument is set to 1 the sum of each extent is normalized (scaled by 1/sum(weights)), otherwise not
us, os, n
Every pair {us+d*i, us+d*(i+1)} (with: d=(os-us)/n, i=0..n-1) defines an extent to sum. All three arguments are scalars.
uv, ov
Every pair {uv[i], ov[i]} (with: i=0..nrow(uv)-1) defines an extent to sum. Both arguments must be vectors with same length.
rv
Every pair {rv[i], rv[i+1]} (with: i=0..nrow(rv)-2) defines an extent to sum. The argument must be vector.
rm
Every pair {rm[i,0], rm[i,1]} (with: i=0..nrow(rm)-1) defines an extent to sum. The argument must be matrix with 2 columns.
Result
The result r is a scalar or a vector. Each element ri is the sum of weighted the y values over the i-th extent {xmini, xmaxi}.
Note: an extent is defined by the x-range {xmin, xmax} and not by the indices!
See also
sum, hist

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