| Line 15: | Line 15: | ||
===Answer 3=== | ===Answer 3=== | ||
The answer is zero since impulse function is 0 everywhere except n = 0. | The answer is zero since impulse function is 0 everywhere except n = 0. | ||
| + | :Instructor's comments: Ok, I guess I am going to have to be a bit more specific. I would like to see a way to answer this question as a sequence of small changes to this expression until you get to zero. Something like | ||
| + | :<math> | ||
| + | \begin{align} | ||
| + | \sum_{n=-\infty}^\infty n \delta [n] &= \text{ blah } \\ | ||
| + | &= \text{ blih} \\ | ||
| + | &= 0 | ||
| + | \end{align} | ||
| + | </math> | ||
| + | :Can you try that? -pm | ||
---- | ---- | ||
[[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011 Prof. Boutin]] | [[2011_Fall_ECE_438_Boutin|Back to ECE438 Fall 2011 Prof. Boutin]] | ||
Revision as of 09:42, 26 August 2011
Contents
Simplify this summation
$ \sum_{n=-\infty}^\infty n \delta [n] $
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
The answer is 0 ?
- Instructor's comment: Yes, it's zero. Can you justify your answer? -pm
Answer 2
The delta function is zero everywhere except when n=0 and since we are multiplying the delta by n the answer would thus be 0.
- Instructor's comment: Yes, that's the idea. Now can you justify your answer "in math" instead of "in words"? -pm
Answer 3
The answer is zero since impulse function is 0 everywhere except n = 0.
- Instructor's comments: Ok, I guess I am going to have to be a bit more specific. I would like to see a way to answer this question as a sequence of small changes to this expression until you get to zero. Something like
- $ \begin{align} \sum_{n=-\infty}^\infty n \delta [n] &= \text{ blah } \\ &= \text{ blih} \\ &= 0 \end{align} $
- Can you try that? -pm
