Unified approach to extrapolation of bandlimited signals in linear canonical transform domain
Unified approach to extrapolation of bandlimited signals in linear canonical transform domain
复制标题
线性正则变换域中带限信号外推的统一方法
DOI：
10.1016/j.sigpro.2014.02.002
复制
发表时间：
2014-08
影响因子：
4.4
通讯作者：
Liu, Yuanni
中科院分区：
文献类型：
--
作者：
Zhao, Hui;Wang, Ruyan;Song, Daiping;Zhang, Tianqi;Liu, Yuanni
线性正则变换 (LCT) 已被证明是信号处理和光学的强大工具。已经提出了 LCT 域中带限信号的几种外推策略。本文的目的是提出一种统一多种不同算法的方法，用于 LCT 域中带限信号的外推。这种统一是通过积分方程和希尔伯特空间理论实现的。首先，统一以下现有技术： (1)基于广义长椭球函数级数展开的连续信号外推算法； (2) 广义Papoulis-Gerchberg迭代算法； (3) 有限样本连续信号的两步外推算法； (4)基于误差能量减少过程的迭代外推算法，用于来自有限样本的连续信号。然后，提出了两种LCT域离散带限信号的外推算法，也属于统一框架。
The linear canonical transform (LCT) has been shown to be a powerful tool for signal processing and optics. Several extrapolation strategies for bandlimited signals in LCT domain have been proposed. The purpose of this paper is to present an approach that unifies a number of different algorithms for the extrapolation of bandlimited signals in LCT domain. This unification is achieved through integral equation and Hilbert space theories. First, the following existing techniques are unified: (1) a continuous signal extrapolation algorithm based on series expansion in terms of generalized prolate spheroidal functions; (2) a generalized Papoulis–Gerchberg iterative algorithm; (3) a two-step extrapolation algorithm for continuous signal from finite samples; and (4) an iterative extrapolation algorithm based on error energy reduction procedure for continuous signal from finite samples. Then, two extrapolation algorithms for discrete bandlimited signals in LCT domain are proposed, which also belongs to the unified framework.
登录
查看更多内容
与线性正则变换相关的函数空间中信号的采样和重构
影响因子：
5.4
作者：
Shi, Jun;Liu, Xiaoping;Sha, Xuejun;Zhang, Naitong
通讯作者：
Zhang, Naitong
影响因子：
2.1
作者：
X. Xia;M. Nashed
通讯作者：
X. Xia;M. Nashed
DOI：
10.1109/tassp.1984.1164323
发表时间：
1984
期刊：
IEEE Transactions on Acoustics, Speech, and Signal Processing
影响因子：
--
作者：
J. Sanz;Thomas S. Huang
通讯作者：
J. Sanz;Thomas S. Huang
影响因子：
1.3
作者：
MOSHINSKY, M;QUESNE, C
通讯作者：
QUESNE, C
DOI：
10.1049/sqj.1970.0088
发表时间：
1968
期刊：
--
影响因子：
--
作者：
D. Luenberger
通讯作者：
D. Luenberger