Spectra and tilings play an important role in analysis and geometry respectively.The relations between spectra and tilings have bafied the mathematicians for a long time.Many conjectures,such as the Fuglede conjecture...Spectra and tilings play an important role in analysis and geometry respectively.The relations between spectra and tilings have bafied the mathematicians for a long time.Many conjectures,such as the Fuglede conjecture,are placed on the establishment of relations between spectra and tilings,although there are no desired results.In the present paper we derive some characteristic properties of spectra and tilings which highlight certain duality properties between them.展开更多
研究了在谱自仿测度中的重要概念谱对和和谐对的刻画.最近,Dorin.Ervin.Dutkay and P.E.T.Jorgensen在Quasiperiodic spectra and orthogonality for iterated function system measures一文中建立了一个一维中谱对和和谐对的刻画,并且...研究了在谱自仿测度中的重要概念谱对和和谐对的刻画.最近,Dorin.Ervin.Dutkay and P.E.T.Jorgensen在Quasiperiodic spectra and orthogonality for iterated function system measures一文中建立了一个一维中谱对和和谐对的刻画,并且得到这种谱集的谱只有有限多个.本文将这一结论推广到了n维,也得到这种谱集的谱只有有限多个.展开更多
In this paper, an adaptive line spectral pair filter is derived from an adaptive lattice filter. A least-mean-square(LMS) type adaptive algorithm used to calculate directly the line spectral pair(LSP) coefficients on ...In this paper, an adaptive line spectral pair filter is derived from an adaptive lattice filter. A least-mean-square(LMS) type adaptive algorithm used to calculate directly the line spectral pair(LSP) coefficients on a stage-by-stage basis is presented. Experimental results show that the algorithm has higher convergence rate and lower misadjustment as compared with the other algorithms. The LSP coefficients calculated by the algorithm have been used to carry out speech linear predictive synthesis, resulting in better results than PARCOR coefficients.展开更多
基金supported by the Key Project of Chinese Ministry of Education (Grant No.108117)National Natural Science Foundation of China (Grant No.10871123)
文摘Spectra and tilings play an important role in analysis and geometry respectively.The relations between spectra and tilings have bafied the mathematicians for a long time.Many conjectures,such as the Fuglede conjecture,are placed on the establishment of relations between spectra and tilings,although there are no desired results.In the present paper we derive some characteristic properties of spectra and tilings which highlight certain duality properties between them.
文摘研究了在谱自仿测度中的重要概念谱对和和谐对的刻画.最近,Dorin.Ervin.Dutkay and P.E.T.Jorgensen在Quasiperiodic spectra and orthogonality for iterated function system measures一文中建立了一个一维中谱对和和谐对的刻画,并且得到这种谱集的谱只有有限多个.本文将这一结论推广到了n维,也得到这种谱集的谱只有有限多个.
文摘In this paper, an adaptive line spectral pair filter is derived from an adaptive lattice filter. A least-mean-square(LMS) type adaptive algorithm used to calculate directly the line spectral pair(LSP) coefficients on a stage-by-stage basis is presented. Experimental results show that the algorithm has higher convergence rate and lower misadjustment as compared with the other algorithms. The LSP coefficients calculated by the algorithm have been used to carry out speech linear predictive synthesis, resulting in better results than PARCOR coefficients.
