Determine if the following process is a martingale
Y(t) = wX1(t) + Sqrt(1-w2)X2(t)
Where X1(t) & X2(t) are independent. and are brownian motion.
assume Y(t) satisfys the integrability condition.
Also answer following : Does answer depend on w? what is possible definition of w?, will Y(t) keep the properties of Brownian motion.