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Mathematics Forum
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| Author | Message / Information |
| akardam Quote | Reply | | simple problem that may not be solved posted on: 11/7/2006 6:57:45 AM I have a model controller that is of the form: (x + ay), where 'x' and 'y' are independent and statistically uncorrelated signals, and 'a' is a simple gain. Everything is known. Now my problem is: The desired signal that I need has to be of the form (x + y). I am heavily constrained by the operations that I can use to obtain this. In other words, I need one and only simple operation that can get me to this desired signal... i.e., from (x + ay) to (x + y)... Unfortunately I can't assume anything about x and y because they are both real-valued significant signals (e.g., x<<y does not apply to this problem) at the same time gain 'a' is not even close to unity. I was thinking that maybe some kind of peculiar transformation (perhaps Taylor series to expand)can be applied to filter out the desired value. I don't know such a method though. Furthermore, I can't use (x + ay) and then substract or add anything to this quantity (e.g. [(x + ay) + (1-a)y] is intolerable). I can only multiply, divide, differentiate, integrate, etc... Or maybe this can never be solved by using only one-step in this universe!!! Whoever has an answer to this will put may people out of there misery. Thanks to you all! andreas |
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