基于有限区间内离散样本的带通信号一步外推  

One-step band-pass signal extrapolation based on discrete samples in finite interval

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作  者:翁剑枫[1] 

机构地区:[1]浙江科技学院信息与电子工程学院,浙江杭州310023

出  处:《浙江大学学报(工学版)》2008年第5期752-756,共5页Journal of Zhejiang University:Engineering Science

摘  要:拓展了带限信号一步外推算法,使之能够适用于带通信号的情况.用一个带通基函数集将带通信号在有限区间上展开,实现了对解集的选择限制,然后基于此基函数集在已知区间内的相应样本值,根据区间长度及采样方式自适应地得到一组经验正交函数(EOF),在此基础上确定展开式系数,即可实现带通信号的一步外推.仿真实验验证了算法的有效性.仿真结果表明,与低通情况类似,此方法除具有自适应性外,能够从带有误差的数据中得到平滑的稳定解,具有鲁棒性;与低通情况相比,推广算法的复杂度没有实质性增加.The one-step extrapolation procedure for low-pass signal was extended to the band-pass case.Similar to the low-pass case, the band-pass signal segment was expanded based on a band-pass basis func-tion set thus to restrict the solution set, then a basis of empirical orthogonal functions (EOFs) was adap-tively generated from the sample values of this band-pass function set according to the length of the known signal segment and the sampling type. After the coefficients of the expansion were obtained, the extrapola- tion was done straightforwardly using the same expansion. Simulation was conducted to verify the effec- tiveness of the proposed extended procedure. The results indicate that, similar to the low-pass case, in spite of the adaptive feature, this extended procedure also can achieve a smooth result for inexact data, thus verifying its robustness. Besides, the complexity of the extended procedure does not increase signifi- cantly, thus it is applicable to real applications.

关 键 词:带通函数 一步外推 经验正交函数 有限区间 离散样本 

分 类 号:TN911.7[电子电信—通信与信息系统]

 

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