A Simple Construction of Gabor Frames for L^2（R）
A Simple Construction of Gabor Frames for L^2（R）
摘要
In this paper, we give a method which aUows us to construct a class of Parseval frames for L2（R） from Fourier frame for L2（X）. The result shows that the function which generates a Oabor frame by translations and modulations has ＂good＂ properties, i.e., it is suifficiently smooth and compactly supported.
基金
Supported by Henan Province Education Department Natural Science Foundation of China（2008B510001）
参考文献7
-
1DAUBECHIES I.The wavelettransformation,time-frequency localization and signal analysis[J].IEEE Trans InformTheory,1990,36(5):961-1005.
-
2HEIL C,WALNUT D.Continuous and discrete wavelet transforms[J].SIAMReview,1989,31(4):628-666.
-
3BALAN R.Stability theorems for Fourier frames and wavelet Riesz bases[J].J Fourier AnalAppl,1997,3(5):499-504.
-
4CHRISTENSEN O.Operators with closed range and perturbation of frames for asubspace[J].Canad Math Bull 1999,42(1):37-45.
-
5SEIP K.On the connection between exponential bases and certain related sequences inL2(-π,π)[J].J Funct Anal,1995,130(1):131-160.
-
6CHRISTENSEN O.An Introduction to Frames and Riesz Bases[M].Boston:Birkhauser,2000.
-
7HERNANDEZ E,WEISS G.A First Course on Wavelets[M].Boca Raton:CRC Press,1996.
-
1赵威.山东省临沂消防器材总厂[J].军事世界画刊,2009(2).
-
2闫志民.空想社会主义的产生和发展[J].科学社会主义,2013(5):30-32. 被引量：7
-
3高勇泽,徐新彦,李芸.傅立叶的和谐社会思想及其当代价值[J].中共郑州市委党校学报,2007(2):37-38.
-
4王增钦.空想社会主义中所蕴含的原始和谐思想[J].才智,2011,0(30):202-203.
-
5安启念.资本主义社会基本矛盾的新特点与社会主义[J].马克思主义研究,2000(4):15-20. 被引量：5
-
6意大利加答国际鞋展不仅仅有Palafiere展览中心馆[J].中国皮革,2012,41(18):86-87.
-
7卢涵.浅析傅立叶的和谐社会思想[J].决策与信息（下旬）,2011(8):122-123.
-
8马恩笔下的共产主义[J].党课,2006(4):15-16.
-
9王鹏.城市深基坑施工引起建筑物沉降分析[J].21世纪建筑材料,2010,30(6):55-57. 被引量：2
-
10学会动态[J].建筑学报,2011(11):115-115.
