Alcohol effect on sleep electroencephalography by fast Fourier transformation

Introduction to Sleep Electroencephalography

EEG records synaptic potentials from pyramidal cells. It is critical to remember that there is no absolute voltage measurement in clinical EEG. Rather, an EEG trace records potential differences between two electrodes. By convention of the amplifiers used in clinical EEG, an upgoing deflection indicates that input 1 (grid 1) is more negative (or less positive) than input 2 (grid 2). This is an ...

Non-Uniform Fast Fourier Transformation of SPRITE MRI Data

A new algorithm has been developed which permits extremely accurate and fast computation of the Discrete Fourier Transform for certain sets of non-uniformly sampled data. Specifically, this algorithm can be used to process the data acquired during a Magnetic Resonance Imaging experiment using the SPRITE technique with Multiple Point Acquisition, which samples data non-uniformly in a spatial fre...

Fast Clifford Fourier Transformation for Unstructured Vector Field Data

Vector fields play an important role in many areas of computational physics and engineering. For effective visualization of vector fields it is necessary to identify and extract important features inherent in the data, defined by filters that characterize certain “patterns”. Our prior approach for vector field analysis used the Clifford Fourier transform for efficient pattern recognition for ve...

Dispersive Fourier transformation for fast continuous single-shot measurements

102 NATURE PHOTONICS | VOL 7 | FEBRUARY 2013 | www.nature.com/naturephotonics The real-time measurement of fast non-repetitive events is arguably the most challenging problem in the field of instrumentation and measurement1–4. These instruments are needed for investigating rapid transient phenomena such as chemical reactions, phase transitions, protein dynamics in living cells and impairments i...

Fast iterative diagonalization of nonlocal pseudopotential Hamiltonians using the fast Fourier transformation.