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A common problem faced during the clinical recording of the electroencephalogram (EEG) signals are the eye-blinks and movement of the eye balls. Eye blinks cause changes to the electric fields around the eyes, and consequently over the scalp. As a result, EEG recordings are often significantly distorted, and their interpretation becomes problematic. A number of methods have been proposed to overcome this problem. In this paper, a method for removal of ocular artifacts is proposed using ARMA (auto-regressive moving average) method with wavelets. A comparison is made for the efficiency of the proposed method without using wavelets. Also, the adaptive filtering technique is used to compare with the proposed method.