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Signal Detection in Power Spectra

   

For the ``long'' power spectra the plot is not a feasible way to look for significant peaks. A command is present to identify in the power spectrum bins with a significance above a certain threshold. The command DETECT/PERIOD takes in input a ``long'' power spectrum produced by the command MAKE/POWER_SPECTRUM (LONG option) and gives in output all the bins whose probability to occur by chance in that power spectrum (keeping into account the number of trials) exceeds a given threshold. The chance probability at a given frequency tex2html_wrap_inline19086  is defined as

displaymath19088

where N is the number of trials and tex2html_wrap_inline19090  is the cumulative chi-square probability function corresponding to tex2html_wrap_inline19092  degrees of freedom.   The input parameters are the name of the table containing the power spectrum and the threshold for the chance probability tex2html_wrap_inline19094 . The informations (frequency, error on frequency, power and chance probability) about the bins whose chance probability t exceeds the input value tex2html_wrap_inline19098  will be displayed in output. The syntax of the command is:

DETECT/PERIOD ps_table signif
where ps_table is the input table containing the power spectrum and signif is the threshold probability.



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