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MULTIDIMENSIONAL MULTI-KNOTS PIECEWISE LINEAR SPECTRAL SEQUENCES 被引量:2

MULTIDIMENSIONAL MULTI-KNOTS PIECEWISE LINEAR SPECTRAL SEQUENCES
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摘要 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. 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.
出处 《Analysis in Theory and Applications》 2010年第4期367-382,共16页 分析理论与应用(英文刊)
基金 Supported in part by the President Fund of GUCAS Supported in part by National Natural Foundation of China(Grant No.10631080) National Natural Foundation of Beijing (Grant No.1092004)
关键词 multidimensional piecewise linear spectral sequence orthonormal exponen-tial basis non-constant frequency multidimensional piecewise linear spectral sequence, orthonormal exponen-tial basis, non-constant frequency
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