Enhanced period-peak analysis of electro-encephalograms using a fast sinc function

In an effort to reduce the memory space and processing time required by fast Fourier transforms, enhanced period-peak detection is investigated. The method is based on a combination of Fourier transforms and period-peak detection. The signal is considered as a train of truncated sinusoidal functions. Each truncated sinusoidal function is limited by two successive local extrema. The Fourier transform of the truncated sinusoidal function is a sinc function. The summation of these sinc functions yields an approximate frequency spectrum of the signal.