Starting from wavelet analysis of chaotic signals’ time-frequency characteristic, we propose a new harmonic signals extraction method using Empirical Mode Decomposition (EMD). We analyze features of chaotic signals using wavelet transform to determine the parameters of harmonic signals and interference signals. The harmonic signals as source signals are hidden within chaotic energy accumulation...

Using SAPF (shunt active power filter) has been proved as an effective way for harmonic compensation. In practical applications, the performance of SAPF will be impacted by interharmonics and non-periodic disturbances. This paper analyzed the CPT (conservative power theory) definition of power theory and the application method for SAPF. Repetitive controller and PI controller were used as a com...

Molecular frame high-harmonic spectra of aligned N2 molecules reveal a Cooper-like minimum. By deconvolving the laboratory frame alignment distribution, what was previously thought to be a maximum of emission along the molecular axis is found to be maxima at 35 degrees off axis, with a spectral minimum on axis. Both of these features are supported by photoionization calculations that underline ...

Copyright  2010 Richard Merrick. All rights reserved. V.042010 This paper proposes atomic resonance as a structural guide and predetermining condition for Darwinian evolution theory. Recent studies on the mesoscopic structures of water and carbon, together with the latest geometric DNA mapping theories, suggest that life emerges and grows according to predictable harmonic patterns found in org...

Using the axially-symmetric time-dependent mean-field Gross-Pitaevskii equation we study the Josephson oscillation in a repulsive Bose-Einstein condensate trapped by a harmonic plus an one-dimensional optical-lattice potential to describe the experiments by Cataliotti et. al. [Science 293 (2001) 843, New J. Phys. 5 (2003) 71.1]. After a study of the formation of matter-wave interference upon re...

The discrete Fourier transform (DFT) has become a main method of the harmonic analysis because it can be easily implemented in embedded system, but the conventional DFT is afflicted by the spectral leakage and the picket fence effect (PFE) in the asynchronous sampling. In this paper, the frequency-domain estimation method of the harmonic parameters, which is based on the windowing interpolated ...

We report, for the first time, the generation of high-order harmonics in a spectral range between 200 eV and 1 keV with an unusual spectral property: only every 4(th) (4i + 1, i∈ℵ) harmonic line appears, whereas the usual high-harmonic spectra consist of every odd (2i + 1) harmonic. We attribute this unique property to the quantum path interference of two extended electron trajectories that exp...

High-order harmonic generation (HHG) is investigated theoretically in the over-the-barrier ionization regime revealing the strong signature of interference between two separately ionized and separately propagating free wave packets of a single electron. The interference leads to the emission of coherent light at a photon energy corresponding to the kinetic-energy difference of the two recollidi...