An EEG signal from a healthy adult contains clinically relevant frequencies in the range of 0 to 45 Hz. The frequency bands are generally grouped as delta (0.5-4 Hz), theta (4.5-8 Hz), alpha (8.5-13 Hz), and gamma (30-45 Hz), with a predominant power in the beta/gamma range in the active waking state. It is also known that this signal contains a 60 Hz power line interference component. Higher frequencies in the EEG frequency spectrum area are also present but are known to be related to motion artifacts, ocular-motor activity, as well as other noise sources. Using your knowledge of signal processing, identify:
a) Would anti-aliasing filtering be required? If so, what would you set your cutoff frequency to be?
b) Select the appropriate sampling frequency for this signal, such that both the frequency and time domain representations of the digital signal are accurate.
c) If you choose to process only 10 seconds worth of data, what is the resulting frequency resolution?