# BER performance of fractional equalizers for colored noise

I am trying to compare the BER performance of fractional and symbol spaced equalizers for channel equalization in colored noise scenario. I have found from simulation that for positively correlated noise, fractional equalizers perform better than symbol spaced equalizers. It is probably due to fact that with more samples we have more information in case of fractional equalizers. Is there any way of theoretically prove that fractional equalizers are better than symbol spaced equalizers for colored noise? Thanks