Some of the time series posts indicate that there is some confusion regarding the purpose, domain and overlap of the three basic timeseries functions. With the hope of reducing that confusion, I have posted posted some of my notes below:
% TIMESERIES REGRESSION AND PREDICTION CATEGORIES
net = narxnet( ID, FD, H ); % The most general openloop timeseries net.
ID Empty Row vector or Row vector of increasing NONNEGATIVE integers FD Empty Row vector or Row vector of increasing POSITIVE integers H Empty Row vector or Row vector of POSITIVE integers
ID Values of input delays FD Values of output feedback delays H Number of nodes per hidden layer
y(t) = f( x( t - id : t ), y( t - fd : t - 1 ), H ), id >= 0, fd >=1