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From #2 gives the period of N=10, from that can deduce that the frequency <math>\ w = k\frac{2\pi}{10}</math> and if assume k=1 then the frequency <math>\ w=\frac{\pi}{5}</math> | From #2 gives the period of N=10, from that can deduce that the frequency <math>\ w = k\frac{2\pi}{10}</math> and if assume k=1 then the frequency <math>\ w=\frac{\pi}{5}</math> | ||
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| + | #2 also gives the equation <math>\ x[n] = \sum_{0}^{9} a_k e^{-jk \frac{\pi}{5} n}}</math> | ||
Revision as of 13:52, 26 September 2008
1. x[n] is a real and even signal
2. x[n] has period N = 10 and Fourier coefficients $ \ a_k $
3. $ \ a_{11} = 5 $
4. $ \ \frac{1}{10} \sum_{n=0}^{9}|x[n]|^2 = 50 $
From #2 gives the period of N=10, from that can deduce that the frequency $ \ w = k\frac{2\pi}{10} $ and if assume k=1 then the frequency $ \ w=\frac{\pi}{5} $
- 2 also gives the equation $ \ x[n] = \sum_{0}^{9} a_k e^{-jk \frac{\pi}{5} n}} $
