SMOOTH(input,delay time)        exponential SMOOTH
SMOOTHI(input,delay time,initial value)        exponential SMOOTH with Initial

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Returns a exponential smooth of the input.  Equivalent to the equations:

SMOOTH=INTEG((input-SMOOTH)/delay time,input)

SMOOTHI=INTEG((input-SMOOTHI)/delay time,initial value)

 

Units: SMOOTH(units,time) --> units

 SMOOTHI(units,time,units) --> units

The input units match the output units.  The units of delay time must match those of TIME  STEP.  For SMOOTHI units for the initial value must match those of the input.

Example

S = STEP(10,40)

SS = SMOOTH(S,20)

SSI = SMOOTHI(S,20,5)

 

See also: DELAY1, DELAY3, SMOOTH3, SMOOTH N

Sample model: SMOOTH 1 3 N.mdl and SMOOTH 1 3 PLE.mdl in FunctionExamples