The control system of human central nervous system (CNS) is complex. Electroencephalogram (EEG) is one tool to explore the physiological function of brain. It is widely used to diagnose clinical CNS syndromes, such as epilepsy, brain tumor, Parkinson’s disease, etc. However, mostly commercial EEG instruments belong to multi-channel, high price and too big for portable usage. Hence, our thesis tries to design a low price, small volume and single channel of EEG device for easy portable usage. It can use for medical measurements .We used the fourier transform analysis for five volunteers at each time domain in the awake and sleep EEG signals. We found significant differences in sleep and awake waves form according to the volunteers’ sleep and awake statuses. The successful results are given us to have the confidence to test this EEG device in the clinical trials in the near future.