L2(Rd)中Wey1——Heisenberg框架等式的刻画
Description of Wey-Heisenberg frame equation
摘要
根据判断一个Weyl-Heisenberg系统有有限上界的充分条件,然后推出了Weyl-Heisenberg等式成立的一个充要条件。
In this paper, a sufficient condition classifying Wey1- Heisenberg system is ohtained, then a sufficient and necessary condition that Wey1 - Heisenbery flame equation holds coiners in being.
出处
《平顶山工学院学报》
2006年第2期48-50,共3页
Journal of Pingdingshan Institute of Technology
参考文献8
-
1R. J. Duffin and A.C. Schaeffer(1952).A class of nonharmonic Fourier series[J].Trans.Amer.Math.Soc.,72,341-366.
-
2I. Daubechies, A. Groddmann, and Y. Meyer(1986), Painless nonorthogonal expansions[J]. J. Math Phys., 27,1271-1283.
-
3P. G. Casazza and J. Kovaevic(2003), equal - norm fightwith erasures, Frames. adv[M]. Comput, Math. ,2003.
-
4V. K. Goyal, J. Kovaevic and J. A. Kelner, Quantized frames expansions with erasures [M]. Appl. Comput, Harmon. Anal., 2001.
-
5B. Hassihi, B. Hochwald, A. Shokrollahi, and W. Sweldens(2001), Representation theory for high - rate multiple - antenna code design[J]. IEFE Tram. Inform,Th.,47,2355-2367.
-
6D. Gabor(1946). Theory of communications[M]. J. Inst. Else. Engrg., 93,429-457.
-
7I. Daubechies, The wavelet transform, time-frequency localization and signal analysis[M]. IEEE Trans. Inform. Theory , 1990.
-
8P. G. Casazza(2002), Analyzing the Weyl - Heiseberg frame identity[M]. Appl. Comput. Harmon.
