Abstract-In general voice communication, speech is always affected by background noise which reduces perception quality of the speech signal. The incoming speech from far end speaker and near end noise reaches our ear at the same time, noise cannot be cancelled. Hence speech signal is enhanced with respect to variation in the near end noise. In this work, we propose two speech enhancing methods in order to combat near end noise. In first method, suitable gain is derived and smoothened for speech enhancement using weighted hearing curve and overall speech is enhanced to give better quality and perception. In second method we determine dominant frequencies components of speech signal and enhance only those frequencies instead enhancing the entire signal. The energy needed for enhancing is reduced in later approach when compared to former one. So a method of energy conservation is achieved. Quality o f enhanced speech signals is measured using perception evaluation of speech quality (PESQ) which is an ITU recommended standard for speech quality assessment.