Boltzmann equation is an equation which is related to the three variables of x, v, t. In this paper, we mainly study the space-uniform Boltzmann equation which unknown function F is not related to the position variabl...Boltzmann equation is an equation which is related to the three variables of x, v, t. In this paper, we mainly study the space-uniform Boltzmann equation which unknown function F is not related to the position variable x. We mainly use the contraction mapping theorem to find the existence of the solution, so our mainly work is to prove the self-mapping, i.e. to prove its uniformly bounded, and then to prove the contraction mapping. There we can get the range of ||B(θ)||L1(L∞), next we can figure out the range of M and T from the conditions what we know. Finally, from these conditions, we can find the existence of the solution.展开更多
A new scheme is proposed to separate several compressed video signals transferred in multiple wireless channels using the blind source separation method.The scheme selects IEEE 802.11b and XVID compression as the wire...A new scheme is proposed to separate several compressed video signals transferred in multiple wireless channels using the blind source separation method.The scheme selects IEEE 802.11b and XVID compression as the wireless communications channel and MPEG-4 video compression,respectively.A simulation model is then made for the video communications under a wireless environment.The model can separate several video sig-nals using blind source separation.Simulations show that the normalized whiten plus cyclic whiten based on cyclo-stationary(NWCW-CS)algorithm based upon the cyclo-stationary characteristics of signals has the best separation performance and fast convergence.Besides,the algorithm can solve the mixing of video signals.The image of the transferred video signals decompressed by XVID is nearly consistent with the source ones.The new method meets the requirement of real-time video communications.展开更多
文摘Boltzmann equation is an equation which is related to the three variables of x, v, t. In this paper, we mainly study the space-uniform Boltzmann equation which unknown function F is not related to the position variable x. We mainly use the contraction mapping theorem to find the existence of the solution, so our mainly work is to prove the self-mapping, i.e. to prove its uniformly bounded, and then to prove the contraction mapping. There we can get the range of ||B(θ)||L1(L∞), next we can figure out the range of M and T from the conditions what we know. Finally, from these conditions, we can find the existence of the solution.
基金supported by the National Natural Science Foundation of China(Grant No.60472053)the Natural Science Foundation of Jiangsu Province(No.BK2003055)+1 种基金the Specialized Research Foundation for the Doctoral Program of Higher Education(No.20030286017)the Science and Technology Brainstorm Program of Jiangsu Province(No.BE2004008).
文摘A new scheme is proposed to separate several compressed video signals transferred in multiple wireless channels using the blind source separation method.The scheme selects IEEE 802.11b and XVID compression as the wireless communications channel and MPEG-4 video compression,respectively.A simulation model is then made for the video communications under a wireless environment.The model can separate several video sig-nals using blind source separation.Simulations show that the normalized whiten plus cyclic whiten based on cyclo-stationary(NWCW-CS)algorithm based upon the cyclo-stationary characteristics of signals has the best separation performance and fast convergence.Besides,the algorithm can solve the mixing of video signals.The image of the transferred video signals decompressed by XVID is nearly consistent with the source ones.The new method meets the requirement of real-time video communications.
