Wavelets, Period Doubling, and Time–Frequency Localization with Application to Organization of Convection over the Tropical Western Pacific

摘要: Abstract In this paper, preliminary results in using orthogonal and continuous wavelet transform (WT) to identify period doubling time-frequency localization both synthetic real data are presented. First, the Haar WT is applied time series derived from a simple nonlinear dynamical system-a first-order quadratic difference equation. Second, complex Morlet used study of tropical convection based on high-resolution Japanese Geostationary Meteorological Satellite infrared (IR) radiance dataset. The indicates presence distinct separation multiple frequencies period-doubling sequence. process generates multiplicity intermediate frequencies, which manifested nonuniformity with respect phase oscillations lower frequencies. Wavelet also enables detection extremely weak signals higher-order subharmonics resulting ...