Motivated by representing multidimensional periodic nonlinear and non-stationary signals (functions), we study a class of orthonormal exponential basis for L2(Id) with I := [0, 1), whose exponential parts are pi...Motivated by representing multidimensional periodic nonlinear and non-stationary signals (functions), we study a class of orthonormal exponential basis for L2(Id) with I := [0, 1), whose exponential parts are piecewise linear spectral sequences with p-knots. It is widely applied in time-frequency analysis.展开更多
基金Supported in part by the President Fund of GUCASSupported in part by National Natural Foundation of China(Grant No.10631080)National Natural Foundation of Beijing (Grant No.1092004)
文摘Motivated by representing multidimensional periodic nonlinear and non-stationary signals (functions), we study a class of orthonormal exponential basis for L2(Id) with I := [0, 1), whose exponential parts are piecewise linear spectral sequences with p-knots. It is widely applied in time-frequency analysis.