Optimization-based quasi-uniform spherical t-design and generalized multitaper for complex physiological time series

07/31/2019
by   Matt Sourisseau, et al.
0

Motivated by the demand to analyze complex physiological time series, we provide a quasi-uniform spherical t-design for any dimensional sphere based on an optimization approach. The design is generalized to achieve a quasi-uniform spherical (k,l)-design for complex sphere of arbitrary dimension. The real and complex designs are applied to construct a generalized multitaper scheme for the nonlinear-type time-frequency analysis, particularly the concentration of frequency and time (ConceFT), which we coin the QU-ConceFT. The proposed QU-ConceFT is applied to visualize the spindle structure in the electroencephalogram signal during the N2 sleep stage.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset