/thesis-suppl

supplemental code for my thesis: we demonstrate our nonlinear method of time-frequency analysis with a Julia code

Primary LanguageJuliaMIT LicenseMIT

thesis-suppl

we demonstrate our nonlinear method of time-frequency analysis with a Julia code.

our method is a kind of mode decomposition with general complex functions.

our Julia code works as follows:

time series for analysis. (12 samples)

Fig1 timeseries for anaysis

obtained results.

Fig2 obtained results

no.1 backgound noise, no.2&3 frequency of sinusoidal term frq=0.1, no.4 constant term amp=0.01

you will find following values with runnning our code. image please compare our results with the "theoretical limit of time-frequency resolution" of conventional methods.

related work: “Maximum Entropy Method without False Peaks with Exact Numerical Equation”, J. Phys.: Conf. Ser., vol. 1438, 012031 (6pp), 2020 https://iopscience.iop.org/article/10.1088/1742-6596/1438/1/012031

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