(New page: == Problem #1 == == Problem #2 == <math>y[n] = sin[n]</math> is the non-periodic equation. To make it periodic: <math>\sum_{k=0}^{\infty} e^{n-kN} * sin[n-kN]</math>) |
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== Problem #1 == | == Problem #1 == | ||
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| + | CT equation that is periodic: | ||
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| + | <font size ="4"><math>y[n] = sawtooth[n]</math></font> | ||
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| + | [[Image:Sawtooth2aa_ECE301Fall2008mboutin.JPG]] | ||
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| + | N is an integer for the DT equations. | ||
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| + | DT equation that is non-periodic: | ||
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| + | <font size ="4"><math>y[n] = sawtooth[100N]</math></font> | ||
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| + | [[Image:Sawtooth2ab_ECE301Fall2008mboutin.JPG]] | ||
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| + | DT equation that is periodic: | ||
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| + | <math>y[n] = sawtooth[\frac{\pi}{2}N]</math> | ||
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| + | [[Image:Sawtooth2ac_ECE301Fall2008mboutin.JPG]] | ||
== Problem #2 == | == Problem #2 == | ||
| − | <math>y[n] = sin[n]</math> is the non-periodic equation. | + | <math>y[n] = e^{n-kN} * sin[n-kN]</math> is the non-periodic equation. |
To make it periodic: | To make it periodic: | ||
<math>\sum_{k=0}^{\infty} e^{n-kN} * sin[n-kN]</math> | <math>\sum_{k=0}^{\infty} e^{n-kN} * sin[n-kN]</math> | ||
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| + | [[Image:Sinhw2a_ECE301Fall2008mboutin.JPG]] | ||
Latest revision as of 13:50, 11 September 2008
Problem #1
CT equation that is periodic:
$ y[n] = sawtooth[n] $
N is an integer for the DT equations.
DT equation that is non-periodic:
$ y[n] = sawtooth[100N] $
DT equation that is periodic:
$ y[n] = sawtooth[\frac{\pi}{2}N] $
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] $
