I tried to leave a few blanks for the reader to fill in in the hope of promoting some independent research, but I may have been too ambiguous ;)
Assuming the professor actually wants the (mathematical) cross-correlation (I think you've had plenty of time to ask for clarification?), this...
Maybe this is just for posterity, but it may help someone else, someday.
The "time delay" is just a variable -- It doesn't mean anything. It's just that introductory signal processing classes usually start with functions over time. Realistically, a function is a function -- The variable's...
Ask for clarification.
But given the context, I would assume 2D Discrete Correlation (http://en.wikipedia.org/wiki/Cross-correlation) which would be similar to 2D Discrete Convolution.
For this derivation, they define "e" such that "lim delta->0 of (e^delta - 1) / delta == 1". They use some facts about "(a^delta - 1) / delta" as a function of "a" to show such an "e" exists.
Therefore, if you plug in "a = e" into the "expanded" derivative of a^x, then you get
"derivative...
This is possibly a bit off-topic, but your post reminded me of something one ECE TA mentioned; while going over binary and hex, he claimed that the most efficient number system would actually be base e.
I actually found an article that seems to support his statement...
Java:
Hashtable h = new Hashtable();
while ( <next line exists> ) {
String s = <read in line>;
String[] sa = s.split("=");
if (h.containsKey(sa[0])) {
h.remove(sa[0]);
}
h.put(sa[0], sa[1]);
}
It's even easier in C#, but I don't know the code...
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