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Problem #1

CT equation that is periodic:

$ y[n] = sawtooth[n] $

Sawtooth2aa ECE301Fall2008mboutin.JPG


N is an integer for the DT equations.


DT equation that is non-periodic:

$ y[n] = sawtooth[100N] $

Sawtooth2ab ECE301Fall2008mboutin.JPG


DT equation that is periodic:

$ y[n] = sawtooth[\frac{\pi}{2}N] $

Sawtooth2ac ECE301Fall2008mboutin.JPG

Problem #2

$ y[n] = e^{n-kN} * sin[n-kN] $ is the non-periodic equation.

To make it periodic:

$ \sum_{k=0}^{\infty} e^{n-kN} * sin[n-kN] $

Sinhw2a ECE301Fall2008mboutin.JPG

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