DESIGN OF A LEAD CONTROLLER USING MATLAB (SAMPLE ASSIGNMENT)

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Lead and Lag in Moving Average

This sample assignment depicts the meaning of Lead and Lag-

When we

replace the value of a point

with the

mean of it and the next point;we get Lead and when we replace the value of a point with the

mean of it

and the previous point we get Lag.

% compute general moving average (ie simple, linear, etc)

% build weighting vectors

i = 1:lag;

wa(i) = (lag -

i + 1).^alpha./sum([1:lag].^alpha);

i = 1:lead;

wb(i) = (lead -

i + 1) .^alpha/sum([1:lead].^alpha);

% build moving average vectors by filtering asset through weights

a = filter(wa,1,asset);

b = filter(wb,1,asset);

If you call:

[Short,Long]= movavg(A,20,20,1);

You get exaclty the same averages, I guess they tried to give emphasis to the fact that one is long run and the other is short run.

Anyway, the movavg

implements the

weighted moving average

(linear and exponential):

Linear weights

Exponential weights

Oleg