AVR

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Average input X over evaluation cycles.

[SPU SUM X TYP T RS OUT Y]

In: X a number, vector or matrix containing the data to be averaged
TYP a number or string; defines the averaging method
T averaging parameter (number); depends on method
RS reset flag (number)
Out: Y averaged input X; same type as X
Description

The averaging algorithm is defined by the inputs TYP and T. The atom averages the elements X[i,j]t over evaluation cycles t (i=row index, j=column index, t=cycle counter) and stores the averaged value in the element Y[i,j]t.

invinite average
TYP=0 or linear
T=0
{\displaystyle Y[i,j]_{t}={\begin{cases}X[i,j]_{t}&{\mbox{if }}t=0\\{\frac {1}{t+1}}(t.Y[i,j]_{t-1}+X[i,j]_{t})&{\mbox{if }}t>0\end{cases}}}
  • running average: TYP=0 or linear; T>0
{\displaystyle Y[i,j]_{t}={\begin{cases}X[i,j]_{t}&{\mbox{if }}t=0\\{\frac {1}{t+1}}(t.Y[i,j]_{t-1}+X[i,j]_{t})&{\mbox{if }}t>0\end{cases}}}


See also

<SP-atoms>

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