Simon Porras is presenting his Master thesis, Title: Time-Frequency Multitaper Analysis of EEG from children with ADHD Abstract: The main subject of this thesis is to apply different time-frequency tools to Electroencephalogram (EEG) data taken from children with Attention-Deficit/Hyperactivity Disorder (ADHD). The object is to find differences and/or similarities in the EEG frequency content of ADHD group and Control Group. To this purpose, three different spectral estimation methods are studied and applied to the EEG data. The thesis begins with an overview of important concepts such as the Fourier transform as a basis of development for the rest of the work. First, the signal properties are defined, such as sample rate, number of samples and sampling time. Then the EEG procedure is explained and the process of obtaining the EEG data is also described. The Stroop Test was used to record the EEG data, it is a measure of the effect of interference on performance of a colour identification task. We then explain the Short-Time Fourier Transform (STFT), and two multiple window methods that can be used in this context: Thomson's Multiple Window method and the Peak Matched Multiple Windows (PM MW) for spectral estimation. Thomson's Multiple Window method designs tapers which aim to suppress side-lobe leakage, while giving stable estimates with the use of multitapers. The PM MW method reduces bias at peak frequencies by using matching windows, and it lowers variance with the average of uncorrelated periodograms. With the methods used, high energy levels of delta and theta frequencies (0-8 Hz) were found to be present in the EEGs of both groups, during the instants when stimuli were presented. Both the use of PM MW and Thomson method give a better performance in the time-frequency domain than the usage of a single Hanning window.