The boundary frequency equations of the simple parametric resonance, from which the unstable regions are estimated, are obtained by Bolotin's method.
The computational efficiency of the algorithm is demonstrated by diffuse photon density wave solutions obtained from a single- and a dual-mesh, and by reconstructing a fluorescent inclusion in simulated phantom from boundary frequency domain fluorescence measurements.
Furthermore, the boundary frequency equations of the simple parametric resonance are obtained by Bolotin's method, and the stability maps of a simply supported beam are shown, as influenced by load mass and damping.
(2) Principle and algorithm of boundary element: The characteristic of the boundary frequency for a DC transmission line is shown in Fig. 4.
aThe index k might need to be rounded up/down since the boundary frequency of each pitch would not fall exactly on the desired value.
The spectrum rolloff point [6] is defined as the boundary frequency, such that a certain percent of the spectral energy for a given audio frame is concentrated below : (12).
Other parameters such as HNR (harmonics-to-noise ratio), GNE (glottal-to-noise excitation ratio) [15], and (boundary frequency between harmonic and aperiodic components) [16] reflect the effects of the aspiration noise components.
By the use of Bolotin's method, the equation of boundary frequencies can be obtained and is used to determine the boundaries between stable and unstable regions.
The respective regions of instability are determined by converting the resulting equations of boundary frequencies to the standard form of a generalized eigenvalue problem.
To reveal spectral maxima associated with a harmonic signal, the function (Pi (F)) is linearly detrended ("whitened") as (Pi _w(F =Pi (F -Pi _{cn}(F -Pihere (Pi _{cn}) is the best linear Fit of (Pi (F)) in therenterval ([F_L,F_R]), where (F_{L,R}=log(f_{L,R})), and (f_{L,R}) are the boundaries of frequency interval).
