Title
Enhanced -least Mean Square.
Abstract
In this work, a new class of stochastic gradient algorithm is developed based on q-calculus. Unlike the existing q-LMS algorithm, the proposed approach fully utilizes the concept of q-calculus by incorporating a time-varying q parameter. The proposed enhanced q-LMS (Eq-LMS) algorithm utilizes a novel, parameterless concept of error-correlation energy and normalization of signal to ensure high convergence, stability and low steady-state error. The proposed algorithm automatically adapts the learning rate with respect to the error. For evaluation purposes the system identification problem is considered. The necessary condition of convergence for the proposed algorithm is analyzed, and the validation of analytical findings and simulation results is discussed. Extensive experiments show better performance of the proposed Eq-LMS algorithm compared to the standard q-LMS approach.
Year
DOI
Venue
2019
10.1007/s00034-019-01091-4
Circuits, Systems, and Signal Processing
Keywords
DocType
Volume
Adaptive algorithms, Least mean squares algorithm, q-calculus, Jackson derivative, System identification, q-LMS
Journal
38
Issue
ISSN
Citations 
10
0278-081X
1
PageRank 
References 
Authors
0.35
0
5
Name
Order
Citations
PageRank
Alishba Sadiq110.35
Shujaat Khan2389.56
Imran Naseem314213.51
Roberto Togneri481448.33
Mohammed Bennamoun5374.14