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

  Product
  Running product