Root mean square
Syntax: | s = RMS(x) s = RMS(w,x) |
The RMS
function only accepts one or two vector arguments.
If only one vector is entered, the function returns the root-mean-square of that vector's data. If two
vectors are entered, the first vector holds the weights and the second vector holds the data. The result is
always a scalar value.
Suppose that x is a vector with N elements.
A weight vector, w, may be entered as the first argument. The
length of w is assumed to also be N. If no weights are entered,
let default to
1
, for .
Define the total weight:
The root-mean-square, ,
is defined by