New Trinion and Quaternion Set-Membership Affine Projection Algorithms

被引：22

作者：

Yazdanpanah, Hamed ^{[1
,2
]}

Diniz, Paulo S. R. ^{[1
,2
]}

机构：

[1] Univ Fed Rio de Janeiro, Poli, DEL, BR-21941972 Rio De Janeiro, Brazil

[2] Univ Fed Rio de Janeiro, COPPE, PEE, BR-21941972 Rio De Janeiro, Brazil

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2017年 / 64卷 / 02期

关键词：

Adaptive beamforming; adaptive filtering; quaternion space; set-membership filtering (SMF); trinion space; wind profile prediction; LMS ALGORITHMS; TRANSFORM; GRADIENT;

D O I：

10.1109/TCSII.2016.2555942

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：

This brief introduces new data-selective adaptive filtering algorithms for trinion and quaternion spaces T and H. The work advances the set-membership trinion-and quaternion-valued normalized least mean square (SMTNLMS and SMQNLMS) and the set-membership trinion-and quaternion-valued affine projection (SMTAPand SMQAP) algorithms. We derive set-membership trinion algorithms and then, as special cases, obtain trinion algorithms not employing the set-membership strategy. Prediction simulations based on recorded wind data are provided, showing the improved performance of the proposed algorithms in terms of reduced computational complexity. Then, the quaternion-based SMQAP and SMQNLMS algorithms are derived, and their improved performances are verified in an adaptive beamforming problem.

引用

页码：216 / 220

页数：5