abstract: Several studies show that spectral methods are appropriate for investigating the temporal behaviour of the BOLD signal. BOLD stands for Blood Oxygenation-Level Dependent. In contrast to correlation methods in the temporal domain, spectral and wavelet methods provide measures that are independent of the phase. Using the spectral density matrix, the sample coherence of time series can be estimated. The coherence provides a measure of the degree of linear association of time series. Moreover, the phase shift can be computed separately. The resulting maps of coherence and phase give detailed information on brain regions that belong to a structure with a similar vascular network and show the temporal behaviour of the BOLD response function.