(New page: ==Periodicity of Shifted Sum== I struggle to understand how to prove whether or not a signal is periodic if the signal is written as the sum of shifted functions. A good example of this ty...) |
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==Periodicity of Shifted Sum== | ==Periodicity of Shifted Sum== | ||
| − | I struggle to understand how to prove whether or not a signal is periodic if the signal is written as the sum of shifted functions. A good example of this type of problem would be problem number 1 from the recent exam | + | I struggle to understand how to prove whether or not a signal is periodic if the signal is written as the sum of shifted functions. A good example of this type of problem would be problem number 1 from the recent exam: |
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| + | <math>x(t) = \sum_{k=-\infty}^{\infty}\frac{1}{(t+2k)^2 + 1}</math> | ||
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| + | Is the signal periodic? | ||
Latest revision as of 14:22, 6 October 2008
Periodicity of Shifted Sum
I struggle to understand how to prove whether or not a signal is periodic if the signal is written as the sum of shifted functions. A good example of this type of problem would be problem number 1 from the recent exam:
$ x(t) = \sum_{k=-\infty}^{\infty}\frac{1}{(t+2k)^2 + 1} $
Is the signal periodic?
