Based on the partition function in statistical thermodynamics, atomic partit ion parameter fi =lg[(ni－1)0.5·Ar,i] is introduced in this paper. The fi has demonstrated good unitarity for all the ground state ato ...Based on the partition function in statistical thermodynamics, atomic partit ion parameter fi =lg[(ni－1)0.5·Ar,i] is introduced in this paper. The fi has demonstrated good unitarity for all the ground state ato ms, and excellent correlativity with the standard entropies (,J·mol－1·K －1) of 70 cations in solid compounds: = －10.247＋27.508 fi , r=0.996. A satisfactory curve equation is developed as follows: =6.229＋13.257 fi1.5, r= 0.999. On the basis of adjacency matrices and fi , a novel partition connectivit y index is developed for the study on the standard entropies of 64 S block compo unds. The linear regression equation is set up by the least square method: =－3 9.416＋33.9610H, r=0.985. The binary linear equation among and 0H, nM (princip al quantum number of the ground state atoms for S block) is drawn up: =－21.591 ＋32.0720H－31.013nM－1, R=0.990. The calculated values of basically tally w ith the experiment values. fi and 0H demonstrate that the method possesses the a dvantage of easy computation and clear physical significance.展开更多
Since the multicomponent signal with nonlinear time-frequency structures occupies a wide frequency band, and the spectral contents may alias, it is therefore difficult to separate the signal components and to separate...Since the multicomponent signal with nonlinear time-frequency structures occupies a wide frequency band, and the spectral contents may alias, it is therefore difficult to separate the signal components and to separate the signal from Ijackground noise. In this paper, a new signal separation method using FMmlet transform is proposed by taking the advantage that the atoms of FMm let transform can match both the linear and nonlinear time-varying structures. Theoretical predictions and numerical experiments show the feasibility of the methodology advocated.展开更多
文摘Based on the partition function in statistical thermodynamics, atomic partit ion parameter fi =lg[(ni－1)0.5·Ar,i] is introduced in this paper. The fi has demonstrated good unitarity for all the ground state ato ms, and excellent correlativity with the standard entropies (,J·mol－1·K －1) of 70 cations in solid compounds: = －10.247＋27.508 fi , r=0.996. A satisfactory curve equation is developed as follows: =6.229＋13.257 fi1.5, r= 0.999. On the basis of adjacency matrices and fi , a novel partition connectivit y index is developed for the study on the standard entropies of 64 S block compo unds. The linear regression equation is set up by the least square method: =－3 9.416＋33.9610H, r=0.985. The binary linear equation among and 0H, nM (princip al quantum number of the ground state atoms for S block) is drawn up: =－21.591 ＋32.0720H－31.013nM－1, R=0.990. The calculated values of basically tally w ith the experiment values. fi and 0H demonstrate that the method possesses the a dvantage of easy computation and clear physical significance.
基金Supported in part by the National Natural Science Foundation of China under Grant No.60172026
文摘Since the multicomponent signal with nonlinear time-frequency structures occupies a wide frequency band, and the spectral contents may alias, it is therefore difficult to separate the signal components and to separate the signal from Ijackground noise. In this paper, a new signal separation method using FMmlet transform is proposed by taking the advantage that the atoms of FMm let transform can match both the linear and nonlinear time-varying structures. Theoretical predictions and numerical experiments show the feasibility of the methodology advocated.
