Time Invariance: 5pt Averager

x1_5ptAvgTimeInv.png
\(x_1[n]\)
arrow.png
h5ftiny.png
\(y_1[n]\)
arrow.png
y1_5ptAvgTimeInv.png
Figure 1: Block diagram for the 5pt averager. The system is an FIR filter and therefore time invariant. Click on the above input, system block or output for a "close-up."
x2_5ptAvgTimeInv.png
\(x_1[n-3]\)
arrow.png
h5ftiny.png
\(y_2[n]\)
arrow.png
y2_5ptAvgTimeInv.png
Figure 2: Delayed version of the input through the 5pt averager. Since the system is time invariant, the output \(y_2\) should be the same as \(y_1[n-3]\). Click on the output to verify this fact.