I have collected data (x,y) from a sine wave. Now I want to fit a model to this data, e.g: y=A*sin(B*x+C) or y=E + A*sin(B*x) + D*cos(B*x).
Is there a way to estimate this parameters (A to D) with matlab, outside the curve fitting toolbox? The latter can provide me the parameters and confidence intervals, but i'm interested in the covariance between the estimated parameters.
If not, is there another way to calcualte the parameters and covariance between the estimated parameters A to D?
Thanks a lot.