... adaptation of environmentalconditions [11, 12, 13, 14]. In this case, the presenceof noise in the training and testing environmentsaretolerableaslongasanadaptationalgorithm canbefound tomatchtheconditions. ... transformation of the vector, x, and b is a nonzero vectorrepresenting the translation of the vector. Note that the addition of the vector b to the equationcauses the transform to become nonlinear.The ... (a) Medium voiced channel and (b) Gaus-sian white noise.the key to the problem is to find feature sets that are invariant1 to the changes of transmissionchannel and environmental noise. Liftered...