[1]苏武浔,张渭滨,王建成.几种常见信号波形的逆变换计算(Ⅰ) 矩形脉冲与奇偶对称方波的逆变换[J].华侨大学学报(自然科学版),2005,26(1):80-84.[doi:10.3969/j.issn.1000-5013.2005.01.021]
 Su Wuxun,Zhang Weibin,Wang Jiancheng.Computing the Inverse Transform of Some Common Signal Waveforms (Ⅰ) The Inverse Transform of Rectangular Pulse and Square Wave with Even Odd Symmetry[J].Journal of Huaqiao University(Natural Science),2005,26(1):80-84.[doi:10.3969/j.issn.1000-5013.2005.01.021]
点击复制

几种常见信号波形的逆变换计算(Ⅰ) 矩形脉冲与奇偶对称方波的逆变换()
分享到:

《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第26卷
期数:
2005年第1期
页码:
80-84
栏目:
出版日期:
2005-01-20

文章信息/Info

Title:
Computing the Inverse Transform of Some Common Signal Waveforms (Ⅰ) The Inverse Transform of Rectangular Pulse and Square Wave with Even Odd Symmetry
文章编号:
1000-5013(2005)01-0080-05
作者:
苏武浔张渭滨王建成
华侨大学信息科学与工程学院; 华侨大学信息科学与工程学院 福建泉州362021; 福建泉州362021; 福建泉州362021
Author(s):
Su Wuxun Zhang Weibin Wang Jiancheng
College of Information Science and Engineering, Huaqiao University, 362021, Quanzhou, China
关键词:
Mobius变换 付立叶级数逆变换 周期信号的数字信号展开 相互正交的非正交函数族 展开系数
Keywords:
Moebius (Mbius) transformation inverse transform of Fourier series expansion of periodic signals into digital signals non-orthogonal function family expansion coefficient
分类号:
TN911
DOI:
10.3969/j.issn.1000-5013.2005.01.021
文献标志码:
A
摘要:
应用Mobius变换对 3种常用数字信号的付立叶级数进行逆变换运算,得到正、余弦函数及一般周期信号的数字信号展开 .求得在非正交数字信号基函数上的展开系数,以及与展开基函数族相正交的非正交函数族 .
Abstract:
The inverse transform of Fourier series of three digital signals in common use is operated by applying Moebius transformation. As its results, the authors obtain the expansions of sine, cosiue and their general periodic signals into these digital signals,and solve the expansion coefficient on base function of non orthogonal digital signal, and solve also the non orthogonal function family which are perpendicular to the expanding base function family.

参考文献/References:

[1] Chen Nanxian. Modified mobius inverse formula and its applications in physics [J]. Physical Review Letters, 1990, (11):1193-1195.
[2] Chen Nanxian, Li Gyangying. Theoretical investigation on the inverse black-body radiation problem [J]. IEEE Transactions on Antennas and Propagation, 1990(8):1287-1290.doi:10.1109/8.56968.
[3] Rosu H. Mobius inverse problem for distorted black holes(Ⅱ) [J]. Nuovo Cimento, 1993, (12):1333-1339.
[4] Xie Tading, Goldsmith P F. A new method for analyzing IRAS data to determine the dust temperature distribution [J]. Astrophysical Journal, 1991.31-34.
[5] Wang Jieming. Temperature distribution of accretion disks in active galactic nuclei [J]. Astrophysical Journal, 1996, (2.part1):564-571.doi:10.1086/177805.
[6] Chen Nanxian. Closed-form solution for inverse problems of Fermi systems [J]. Physical Review, 1993(2):1558-1561.
[7] 陈难先. Fermi 体系逆问题的一种新解法 [J]. 自然科学进展-国家重点实验室通讯, 2003(5):473-477.doi:10.3321/j.issn:1002-008X.2003.05.005.
[8] Chen Nanxian, Chen Zhaodou, Wei Yucuan. Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform [J]. Physical Review, 1997.R5-R8.
[9] Ge Xijin, Chen Nanxian. Selective field evaporation in field-ion microscopy for ordered alloys [J]. Journal of Applied Physics, 1999(7):3488-3493.doi:10.1063/1.369706.
[10] Chen Nanxian. Theoretical study on the phase stability, site preference, and latticeparameters for [J]. Journal of Physics:Condensed Matter, 2001, (11):2727-2736.doi:10.1088/0953-8984/13/11/326.
[11] Zhang Shuo, Chen Nanxian. Determination of the B1-B2 transition path in RbCl by Mobius pair potentials [J]. Philosophical Magazine, 2003.1451-1461.doi:10.1080/1478643031000080717.
[12] Zhang Shuo, Chen Nanxian. Ab initio interionic potentials for NaCl by multiple lattice inversion [J]. Physical Review, 2002.1-10.
[13] Wei Yucuan, Chen Nanxian. Square wave analysis [J]. Journal of Mathematical Physics, 1998(8):4226-4245.doi:10.1063/1.532493.
[14] Maddox J. Mobius and problems of inversion [J]. Nature, 1990, (29):377.
[15] 张渭滨. 信号与线性系统 [M]. 广州:暨南大学出版社, 1998.403-406.
[16] 梁昆淼. 数学物理方法 [M]. 北京:人民教育出版社, 1978.107-109.

相似文献/References:

[1]苏武浔,张渭滨,王建成.几种常见信号波形的逆变换计算(Ⅱ) 奇偶对称三角波与锯齿波和整流余弦波的逆变换[J].华侨大学学报(自然科学版),2005,26(4):416.[doi:10.3969/j.issn.1000-5013.2005.04.022]
 Su Wuxun,Zhang Weibin,Wang Jiancheng.Computing the Inverse Transform of Some Common Signal Waveforms(Ⅱ) The Inverse Transform of Triangular Wave with Even-Odd Symmetry and Rectifying Cosine Wave[J].Journal of Huaqiao University(Natural Science),2005,26(1):416.[doi:10.3969/j.issn.1000-5013.2005.04.022]

备注/Memo

备注/Memo:
国务院侨务办公室科研基金资助项目(04QZR10)
更新日期/Last Update: 2014-03-23