TY - JOUR
T1 - Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links
AU - Arif, Muhammad
AU - Khan, Saba Samreen
AU - Qadri, Syed Safi Uddin
AU - Naseem, Imran
AU - Moinuddin, Muhammad
PY - 2022/10
Y1 - 2022/10
N2 - 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.
AB - 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.
KW - Adaptive filters
KW - Incremental least mean squares algorithm
KW - Noisy links
KW - Quantum calculus
KW - Steady-state analysis
UR - http://www.scopus.com/inward/record.url?scp=85131406328&partnerID=8YFLogxK
U2 - 10.1007/s00034-022-02048-w
DO - 10.1007/s00034-022-02048-w
M3 - Article
AN - SCOPUS:85131406328
VL - 41
SP - 5699
EP - 5718
JO - Circuits, Systems and Signal Processing
JF - Circuits, Systems and Signal Processing
SN - 0278-081X
IS - 10
ER -