Speech is a form of communication that most people came across in their day to day life. Speech can be used for many purposes like speech communication, speech recognition, speaker identification etc. In all of these applications a noise free speech signal is highly desired. Therefore to get a noise free speech, different speech processing and speech filtering techniques are used. In this paper we have presented a review on speech processing and different speech filtering techniques. The techniques that we have investigated in this paper are Adaptive filtering, Kalman Filtering, Neural Networks and adaptive neuro-fuzzy filtering and it is found that LMS gives good result in linear noise depending upon the order of the filter and hybrid filtering techniques like ANFIS because it gives the better result in case of non-stationary noise. Keywords: Adaptive Filter, noise cancellation, least mean square adaptive filter, Autoregressive, Kalman filter, neural network, Adaptive neuro-fuzzy filter