Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links

被引：2
作者：
Arif, Muhammad [1 ]
Khan, Saba Samreen [2 ]
Qadri, Syed Safi Uddin [1 ]
Naseem, Imran [1 ,3 ,4 ]
Moinuddin, Muhammad [5 ,6 ]
机构：
[1] Karachi Inst Econ & Technol, Elect Engn Dept, Karachi, Pakistan
[2] Univ Teknol Petronas, Dept Elect & Elect Engn, Seri Iskandar, Perak, Malaysia
[3] Univ Western Australia, Sch Elect Elect & Comp Engn, Crawley, Australia
[4] Love Data, Karachi, Pakistan
[5] King Abdulaziz Univ, Elect & Comp Engn Dept, Jeddah 21859, Saudi Arabia
[6] King Abdulaziz Univ, Ctr Excellence Intelligent Engn Syst CEIES, Jeddah 21859, Saudi Arabia
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2022年 / 41卷 / 10期
关键词：
Incremental least mean squares algorithm; Quantum calculus; Adaptive filters; Steady-state analysis; Noisy links; DISTRIBUTED ESTIMATION; LMS; FORMULATION; STRATEGIES;
D O I：
10.1007/s00034-022-02048-w
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：
The quantum calculus provides an extra degree of freedom to search the local and global minima by inducing a q-parameter. Motivated by this fact, a quantum calculus-based noisy links incremental least mean squares (NL-qILMS) algorithm is proposed. Moreover, for the proposed NL-qILMS, we also devised various time-varying techniques for the selection of the optimal q-parameter to improve the performance. Furthermore, the closed-form solutions for the steady-state mean square deviation, excess mean square deviation and mean square error are derived. The analytical results are validated through simulation. Finally, extensive simulations have been done to evaluate the performance of the proposed algorithm for various choices of optimal q-values.
引用
收藏
页码：5699 / 5718
页数：20
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