Of course !
I normalized my data by Quantile normalization method in Matlab.
I suppose both figures of pre and post normalization are different. The normalized one should not be too regularly presented though. At least some differences should be seen.
I 'm curious to know if it is normal ,what may be the reason behind this presenting.
Maria, I think your problem is a semantic one. Normalization does not mean that the end result will be normal (gaussian). Normalization here refers to the process of reducing non-biological (e.g. technical) variation. If your raw data doesn't look bell-shaped, your quantile-normalized data won't look bell-shaped either.