Decimation and Harmonic Inversion of Periodic Orbit Signals

Details Decimation and Harmonic Inversion of Periodic Orbit Signals Decimation and Harmonic Inversion of Periodic Orbit Signals

1999-12-20

arxiv.org/abs/chao-dyn/9912031v1

J. Phys. A 33 (2000) 1247

Nonlinear Sciences

Chaotic Dynamics

22 pages, 3 figures, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/33/6/311

We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions. In a first step of each method, a band-limited decimated periodic orbit signal is obtained by analytical frequency windowing of the periodic orbit sum. In a second step, the frequencies and amplitudes of the decimated signal are determined by either Decimated Linear Predictor, Decimated Pade Approximant, or Decimated Signal Diagonalization. These techniques, which would have been numerically unstable without the windowing, provide numerically more accurate semiclassical spectra than does the filter-diagonalization method.

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