Dudeez, nothing monumental happened during my weekends, and I am loving it. I was relaxing for the entire 2 days... and man, it was awesome. Like they say, a wasted weekend is not a weekend wasted. Anyhow, due to my sadistic nature which I have inherited from the Joker, I shall now enlighten my dear readers on what do I do for a living.

I crack my brains for a living. I come out with new and novel ideas on how to process time domain signals efficiently. Everyone knows the standard algorithm for time domain signal processing was created by Widrow. It is called Least-Mean Square(LMS). His idea has also been extended into the Complex-domain and recently, Quaternion-domain.

First of all, what is a quaternion? AQuaternion is a complex number extension into 4-dimension. It is different from vectors as it forms a division algebra. It was culminated by Hamilton 1843 and due to it's awesomeness, Maxwell used it to prove the 4 Maxwell's Equations. However, due it's complexity, Maxwell also used vectors to prove the laws, and due to the strong support of vectors by Heaviside, vectors are considered the norm for proving the Maxwell's Equations.

Besides that, by adding a nonlinearity to a basic LMS filter, we would end up with a Nonlinear Adaptive Filter. One thing to note is that, the input signals would need to be normalized before being processed as to make sure that nonlinearity in the input signals' domain is analytic. This concept has been extended into Complex-domain recently. If the complex function used is not analytic in C but analytic in R, hence it is called a split-complex. It is obvious that a fully-complex function would outperform any split-complex function.

So, my job is to extend this nonlinear concept into quaternion. And, I've designed a nonlinear filter based on quaternion nonlinearities to process multidimensional signals. The results of the simulations are promising mainly because of the exploitation of relationships between the dimensions. ICASSP 09 has accepted my paper and I am currently contemplating of going. Long story as to why....

If you guys don't understand of a word that I typed, then by God, go and do an autocorrelation or something. Yeah, I am that awesome!