Linearity: Five Point Averager

x1_5ptAvgLinearity.png
\(x_1[n]\)
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h5ftiny.png
\(y_1[n]\)
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y1_5ptAvgLinearity.png

x2_5ptAvgLinearity.png
\(x_2[n]\)
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h5ftiny.png
\(y_2[n]\)
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y2_5ptAvgLinearity.png
Figure 1: Two different inputs to the same system. The system is an FIR filter and therefore linear. Click on any of the above inputs, system blocks or outputs for a "close-up."
x3_5ptAvgLinearity.png
\(a x_1[n] + b x_2[n]\)
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h5ftiny.png
\(y_3[n]\)
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y3_5ptAvgLinearity.png
Figure 2: Are the scaling and superposition properties satisfied? In other words, does \(y_3[n]=a y_1[n]+b y_2[n]\)? Click on the output to find out.