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The two modules are executed on separated time scales.
Users can also specify a set of comma separated time ranges (minimum value colon maximum value, ie min:max).
The use of widely separated time scales enables the derivation of analytical algebraic expressions predicting all the transitions (bifurcations).
The assumption of widely separated time scales allows derivation of analytical expressions defining the bifurcation sets and centres.
The observable centres of systems described by two variables having widely separated time scales are classified according to their nature and number of observable regions in their vicinity.
Classical Computational Fluid Dynamics (CFD) of long-time processes with strongly separated time scales is computationally extremely demanding if not impossible.
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Let (tilde {s}_{n} tau)), (tilde {x}_{m} tau)), and (tilde {y}_{n} tau)) be the source, observed (mixture), and estimated (separated) time-domain signals, respectively, where n=1,⋯,N and m=1,⋯,M are the integral indexes of the sources and channels (microphones), respectively.
In practice, there are 2 n sub-histograms for n separated times.
Fitting models whose steady states evolve between clearly separated time-scales (Terfve et al., 2012) should be of similar complexity to the problem studied in this article.
Wavelet technique was used to separate time series into its spectral bands.
And the separating time only needs 35 s.
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