TY - JOUR AV - none N1 - cited By 2 SP - 5699 TI - Efficient Time-Varying q-Parameter Design for q-Incremental Least Mean Square Algorithm with Noisy Links PB - Birkhauser SN - 0278081X EP - 5718 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. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. IS - 10 ID - scholars16349 KW - Adaptive filtering; Calculations; Degrees of freedom (mechanics); Global optimization; Mean square error; Quantum theory KW - Efficient time; Incremental least mean square algorithm; Least-mean-squares algorithms; Mean-square deviation; Noisy links; Performance; Q-parameter; Quantum calculus; Steady-state analysis; Time varying KW - Adaptive filters Y1 - 2022/// JF - Circuits, Systems, and Signal Processing A1 - Arif, M. A1 - Khan, S.S. A1 - Qadri, S.S.U. A1 - Naseem, I. A1 - Moinuddin, M. UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131406328&doi=10.1007%2fs00034-022-02048-w&partnerID=40&md5=2985449023aab53e9eda4c95004ef0f5 VL - 41 ER -