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==Question 1== | ==Question 1== | ||
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| + | a) For <math>k=0,1,...,N-1</math> | ||
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| + | <math>\begin{align} | ||
| + | X_N(k) &= \sum_{k=0}^{N-1}x[n]e^{-\frac{j2\pi nk}{N}} \\ | ||
| + | &= x[0]e^{-\frac{j2\pi 0\cdot k}{N}} \\ | ||
| + | &= 1 | ||
| + | \end{align}</math> | ||
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| + | b) | ||
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==Question 2== | ==Question 2== | ||
Revision as of 15:15, 13 October 2011
Homework 4, ECE438, Fall 2011, Prof. Boutin
Question 1
a) For $ k=0,1,...,N-1 $
$ \begin{align} X_N(k) &= \sum_{k=0}^{N-1}x[n]e^{-\frac{j2\pi nk}{N}} \\ &= x[0]e^{-\frac{j2\pi 0\cdot k}{N}} \\ &= 1 \end{align} $
b)
Question 2
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Back to ECE 438 Fall 2011
