Consider n iid p vector observations  from ,X=S+N where  S is a nonGaussian
signal   living in L, a $d<p$ dimensional linear space and N is independent 
multivariate  Gaussian . Blanchard et al (2006),Diederichs etal(2009)) 
developed methods to   estimate L at rate $\sqrt(n)$,We   construct  a
$\sqrt(n)$
consistent solution  to this problem and  to types of noisy ICA  and show how
to
extend to an efficient estimate. of L.The methods are analogous to Chen and
Bickel(2006),(2008).