On Convergence of Proportionate-Type Normalized Least Mean Square Algorithms

被引：29

作者：

Das, Rajib Lochan ^{[1
]}

Chakraborty, Mrityunjoy ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Elect & Elect Commun Engn, Kharagpur 721302, W Bengal, India

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2015年 / 62卷 / 05期

关键词：

Excess mean square error (EMSE); PtNLMS algorithm; sparse adaptive filters; stability of EMSE;

D O I：

10.1109/TCSII.2014.2386261

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, a new convergence analysis is presented for a well-known sparse adaptive filter family, namely, the proportionate-type normalized least mean square (PtNLMS) algorithms, where, unlike all the existing approaches, no assumption of whiteness is made on the input. The analysis relies on a "transform" domain based model of the PtNLMS algorithms and brings out certain new convergence features not reported earlier. In particular, it establishes the universality of the steady-state excess mean square error formula derived earlier under white input assumption. In addition, it brings out a new relation between the mean square deviation of each tap weight and the corresponding gain factor used in the PtNLMS algorithm.

引用

页码：491 / 495

页数：5

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