Describe the problem in removing cyclic components by annual changes. (1) Show that if the true trend is a straight line, then the mean value does not change for the three-term moving average, and...

Describe the problem in removing cyclic components by annual

changes.

(1) Show that if the true trend is a straight line, then the mean value

does not change for the three-term moving average, and that the

variance becomes 1/3 of the observed data variance.

(2) Discuss the differences between the characteristics of the moving

average filter and the moving median filter.