TY - JOUR
T1 - Enhanced q-least Mean Square
AU - Sadiq, Alishba
AU - Khan, Shujaat
AU - Naseem, Imran
AU - Togneri, Roberto
AU - Bennamoun, Mohammed
PY - 2019/3/26
Y1 - 2019/3/26
N2 - 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.
AB - 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.
KW - Adaptive algorithms
KW - Jackson derivative
KW - Least mean squares algorithm
KW - q-calculus
KW - q-LMS
KW - System identification
UR - http://www.scopus.com/inward/record.url?scp=85064211045&partnerID=8YFLogxK
U2 - 10.1007/s00034-019-01091-4
DO - 10.1007/s00034-019-01091-4
M3 - Article
AN - SCOPUS:85064211045
JO - Circuits, Systems and Signal Processing
JF - Circuits, Systems and Signal Processing
SN - 0278-081X
ER -